MATH 140 - 2E - Statistics
This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 Problem Set Section 2E Directions: Answer the following questions. 1. What are the assumptions necessary for making a one-population proportion confidence interval? 2. What are the assumptions necessary for making a one-population mean confidence interval? 3. What are the assumptions necessary for making a one-population bootstrap confidence interval? 4. An experiment was conducted to see what percentage of rats would show empathy toward fellow rats in distress. Of the 30 total rats in the study, 23 showed empathy. What was the sample proportion? What are the critical value Z-scores for 99\% confidence? If you cannot remember them, open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “normal”. You can look up the critical value Z-scores. Use the critical values and the given standard error to calculate the margin of error and construct a 99\% confidence interval estimate of the population proportion of rats that show empathy. Convert the upper and lower limits of your confidence interval into percentages. Standard Error ≈ 0.07725 a) Sample Proportion �̂�𝑝 = 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 𝑜𝑜𝑜𝑜 𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆 (𝑁𝑁𝑒𝑒𝑁𝑁𝑒𝑒𝑒𝑒𝑆𝑆) 𝑇𝑇𝑜𝑜𝑒𝑒𝑇𝑇𝑇𝑇 𝑆𝑆𝑇𝑇𝑁𝑁𝑆𝑆𝑇𝑇𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆𝑁𝑁 = b) Critical value Z-scores = ± c) Margin of Error = 𝑍𝑍 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = �̂�𝑝 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = �̂�𝑝 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) 5. Use the following Statcato printout to check your margin of error and confidence interval answers from the rat empathy data in number 4. Now check the assumptions and write sentences to explain the margin of error and confidence interval. a) Check each of the assumptions for this problem. Assume the rats were randomly selected. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 6. A study was done on the effectiveness of lie detector tests to catch someone that lies. In a random sample of 48 total lies, the machine identified only 31 of them. What was the sample proportion? What are the critical value Z- scores for 95\% confidence? If you cannot remember them, open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “normal”. You can look up the critical value Z-scores. Use the critical values and the given standard error to calculate the margin of error and construct a 95\% confidence interval estimate of the population proportion of lies caught be lie detector tests. Convert the upper and lower limits of your confidence interval into percentages. Standard Error ≈ 0.0689 a) Sample Proportion �̂�𝑝 = 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 𝑜𝑜𝑜𝑜 𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆 (𝑁𝑁𝑒𝑒𝑁𝑁𝑒𝑒𝑒𝑒𝑆𝑆) 𝑇𝑇𝑜𝑜𝑒𝑒𝑇𝑇𝑇𝑇 𝑆𝑆𝑇𝑇𝑁𝑁𝑆𝑆𝑇𝑇𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆𝑁𝑁 = b) Critical value Z-scores = ± c) Margin of Error = 𝑍𝑍 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = �̂�𝑝 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = �̂�𝑝 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) 7. Use the following Statcato printout to check your margin of error and confidence interval answers from the lie detector data in number 6. Now check the assumptions and write sentences to explain the margin of error and confidence interval. a) Check each of the assumptions for this problem. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. 8. We want to determine what percentage of cereals the company Quaker makes. A random sample of 24 cereals found that Quaker made four of them. What was the sample proportion? What are the critical value Z-scores for 90\% confidence? If you cannot remember them, open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “normal”. You can look up the critical value Z-scores. Use the critical values and the given standard error to calculate the margin of error and construct a 90\% confidence interval estimate of the population proportion of cereals made by Quaker. Convert the upper and lower limits of your confidence interval into percentages. Standard Error ≈ 0.076 a) Sample Proportion �̂�𝑝 = 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 𝑜𝑜𝑜𝑜 𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆 (𝑁𝑁𝑒𝑒𝑁𝑁𝑒𝑒𝑒𝑒𝑆𝑆) 𝑇𝑇𝑜𝑜𝑒𝑒𝑇𝑇𝑇𝑇 𝑆𝑆𝑇𝑇𝑁𝑁𝑆𝑆𝑇𝑇𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆𝑁𝑁 = b) Critical value Z-scores = ± c) Margin of Error = 𝑍𝑍 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = �̂�𝑝 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = �̂�𝑝 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 9. Use the following Statcato printout to check your margin of error and confidence interval answers from the cereal data in number 8. Now check the assumptions and write sentences to explain the margin of error and confidence interval. a) Check each of the assumptions for this problem. Assume the cereal data was randomly selected. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. 10. If a cereal has more than 9 grams of sugar per serving, we consider it to have a high sugar content. We want to determine what percentage of cereals have a high sugar content. A random sample of 24 cereals found that 10 of them have a high sugar content. What was the sample proportion? What are the critical value Z-scores for 95\% confidence? If you cannot remember them, open StatKey at www.lock5stat.com. Go to “theoretical distributions” and then click on “normal”. You can look up the critical value Z-scores. Use the critical values and the given standard error to calculate the margin of error and construct a 95\% confidence interval estimate of the population proportion of cereals made by Quaker. Convert the upper and lower limits of your confidence interval into percentages. Standard Error ≈ 0.1006 a) Sample Proportion �̂�𝑝 = 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 𝑜𝑜𝑜𝑜 𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆𝑁𝑁𝑆𝑆𝑆𝑆 (𝑁𝑁𝑒𝑒𝑁𝑁𝑒𝑒𝑒𝑒𝑆𝑆) 𝑇𝑇𝑜𝑜𝑒𝑒𝑇𝑇𝑇𝑇 𝑆𝑆𝑇𝑇𝑁𝑁𝑆𝑆𝑇𝑇𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆𝑁𝑁 = b) Critical value Z-scores = ± c) Margin of Error = 𝑍𝑍 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = �̂�𝑝 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = �̂�𝑝 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) 11. Use the following Statcato printout to check your margin of error and confidence interval answers from the cereal data in number 10. Now check the assumptions and write sentences to explain the margin of error and confidence interval. a) Check each of the assumptions for this problem. Assume the cereal data was randomly selected. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 12. A random sample of 45 high school students has a skewed left distribution. The sample mean average ACT exam score (𝑥𝑥𝑥) was 20.8 with a sample standard deviation of 9.868. What is the degrees of freedom? Open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “T”. Use the degrees of freedom and StatKey to look up the critical value T-scores for a 90\% confidence level. Use the critical values and the given standard error to calculate the margin of error and construct a 90\% confidence interval estimate of the population mean average ACT exam. Standard Error = 1.471 ACT points a) Degrees of Freedom = 𝑆𝑆 − 1 = b) Critical value T-scores = ± c) Margin of Error = 𝑇𝑇 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = 𝑥𝑥𝑥 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = 𝑥𝑥𝑥 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) 13. Use the following Statcato printout to check your margin of error and confidence interval answers from the ACT data in number 12. Now check the assumptions and write sentences to explain the margin of error and confidence interval. a) Check each of the assumptions for this problem. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. 14. A random sample of body temperatures in degrees Fahrenheit was taken from 50 randomly selected adults. The sample mean temperature of 98.26 ℉and a standard deviation of 0.765 ℉. What is the degrees of freedom? Open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “T”. Use the degrees of freedom and StatKey to look up the critical value T-scores for a 95\% confidence level. Use the critical values and the given standard error to calculate the margin of error and construct a 95\% confidence interval estimate of the population mean average body temperature. Standard Error = 0.1082 ℉ a) Degrees of Freedom = 𝑆𝑆 − 1 = b) Critical value T-scores = ± c) Margin of Error = 𝑇𝑇 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = 𝑥𝑥𝑥 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = 𝑥𝑥𝑥 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 15. Use the following Statcato printout to check your margin of error and confidence interval answers from the temperature data in number 14. Now check the assumptions and write sentences to explain the margin of error and confidence interval. A histogram of the data has been created with Statcato. a) Check each of the assumptions for this problem. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. 16. A random sample of cereal sugar content (grams per serving) was taken from 24 cereals. The sample mean average amount of sugar was of 7.208 grams per serving and a standard deviation of 4.634 grams per serving. What is the degrees of freedom? Open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “T”. Use the degrees of freedom and StatKey to look up the critical value T-scores for a 99\% confidence level. Use the critical values and the given standard error to calculate the margin of error and construct a 99\% confidence interval estimate of the population mean average amount of sugar in cereals. Standard Error = 0.9459 grams a) Degrees of Freedom = 𝑆𝑆 − 1 = b) Critical value T-scores = ± c) Margin of Error = 𝑇𝑇 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = 𝑥𝑥𝑥 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = 𝑥𝑥𝑥 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 17. Use the following Statcato printout to check your margin of error and confidence interval answers from the sugar in cereals data in number 16. Now check the assumptions and write sentences to explain the margin of error and confidence interval. A histogram of the data has been created with Statcato. a) Check each of the assumptions for this problem. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. 18. A random sample of cereal carbohydrate content (grams per serving) was taken from 24 cereals. The sample mean average amount of carbs was of 15.043 grams per serving and a standard deviation of 3.596 grams per serving. What is the degrees of freedom? Open StatKey at www.lock5stat.com. Go to “theoretical distributions” and click on “T”. Use the degrees of freedom and StatKey to look up the critical value T-scores for a 99\% confidence level. Use the critical values and the given standard error to calculate the margin of error and construct a 99\% confidence interval estimate of the population mean average amount of sugar in cereals. Standard Error = 0.734 grams a) Degrees of Freedom = 𝑆𝑆 − 1 = b) Critical value T-scores = ± c) Margin of Error = 𝑇𝑇 × 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆 = d) Confidence Interval Lower Limit = 𝑥𝑥𝑥 − (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) e) Confidence Interval Upper Limit = 𝑥𝑥𝑥 + (𝑀𝑀𝑆𝑆𝑆𝑆𝑀𝑀𝑀𝑀𝑆𝑆 𝐸𝐸𝑜𝑜 𝐸𝐸𝑆𝑆𝑆𝑆𝐸𝐸𝑆𝑆) https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 19. Use the following Statcato printout to check your margin of error and confidence interval answers from the carbohydrates in cereals data in number 18. Now check the assumptions and write sentences to explain the margin of error and confidence interval. A histogram of the data has been created with Statcato. a) Check each of the assumptions for this problem. Explain your answers. b) Write a sentence to explain the margin of error in context. c) Write a sentence to explain the confidence interval in context. One-Population Bootstrap Confidence Interval Practice Problems 20. An experiment was conducted to see what percentage of rats would show empathy toward fellow rats in distress. Of the 30 total rats in the study, 23 showed empathy. Go to www.lock5stat.com and click on the “StatKey” tab. Under the “Bootstrap Confidence Intervals” menu, click on “CI for Single Proportion”. Click on “Edit Data” and enter 23 for the “count” and 30 for the “sample size”. Click on “Generate 1000 Samples” a few times to create the bootstrap sampling distribution for the proportion. Use the bootstrap distribution to find a 99\% confidence interval for the population proportion. a) Does this data meet the assumptions for a bootstrap confidence interval? Explain your answer. b) How many bootstrap samples did you take? c) What is the shape of the bootstrap distribution? d) Write the upper and lower limits of the bootstrap confidence interval. Compare the upper and lower limits of the bootstrap confidence interval to the ones found by the traditional formula with Statcato in #5. Are the close? e) Write a sentence to explain the bootstrap confidence interval estimate of the population proportion. https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 21. A study was done on the effectiveness of lie detector tests to catch someone that lies. In a random sample of 48 total lies, the machine identified only 31 of them. Go to www.lock5stat.com and click on the “StatKey” tab. Under the “Bootstrap Confidence Intervals” menu, click on “CI for Single Proportion”. Click on “Edit Data” and enter 31 for the “count” and 48 for the “sample size”. Click on “Generate 1000 Samples” a few times to create the bootstrap sampling distribution for the proportion. Use the bootstrap distribution to find a 95\% confidence interval for the population proportion. a) Does this data meet the assumptions for a bootstrap confidence interval? Explain your answer. b) How many bootstrap samples did you take? c) What is the shape of the bootstrap distribution? d) Write the upper and lower limits of the bootstrap confidence interval. Compare the upper and lower limits of the bootstrap confidence interval to the ones found by the traditional formula with Statcato in #7. Are the close? e) Write a sentence to explain the bootstrap confidence interval estimate of the population proportion. 22. We want to determine what percentage of cereals the company Quaker makes. A random sample of 24 cereals found that Quaker made four of them. Go to www.lock5stat.com and click on the “StatKey” tab. Under the “Bootstrap Confidence Intervals” menu, click on “CI for Single Proportion”. Click on “Edit Data” and enter 4 for the “count” and 24 for the “sample size”. Click on “Generate 1000 Samples” a few times to create the bootstrap sampling distribution for the proportion. Use the bootstrap distribution to find a 90\% confidence interval for the population proportion. a) Does this data meet the assumptions for a bootstrap confidence interval? Explain your answer. b) How many bootstrap samples did you take? c) What is the shape of the bootstrap distribution? d) Write the upper and lower limits of the bootstrap confidence interval. Compare the upper and lower limits of the bootstrap confidence interval to the ones found by the traditional formula with Statcato in #9. Are the close? e) Write a sentence to explain the bootstrap confidence interval estimate of the population proportion. 23. If a cereal has more than 9 grams of sugar per serving, we consider it to have a high sugar content. We want to determine what percentage of cereals have a high sugar content. A random sample of 24 cereals found that 10 of them have a high sugar content. Go to www.lock5stat.com and click on the “StatKey” tab. Under the “Bootstrap Confidence Intervals” menu, click on “CI for Single Proportion”. Click on “Edit Data” and enter 10 for the “count” and 24 for the “sample size”. Click on “Generate 1000 Samples” a few times to create the bootstrap sampling distribution for the proportion. Use the bootstrap distribution to find a 95\% confidence interval for the population proportion. a) Does this data meet the assumptions for a bootstrap confidence interval? Explain your answer. b) How many bootstrap samples did you take? c) What is the shape of the bootstrap distribution? d) Write the upper and lower limits of the bootstrap confidence interval. Compare the upper and lower limits of the bootstrap confidence interval to the ones found by the traditional formula with Statcato in #11. Are the close? e) Write a sentence to explain the bootstrap confidence interval estimate of the population proportion. https://creativecommons.org/licenses/by/4.0/ http://www.lock5stat.com/ http://www.lock5stat.com/ http://www.lock5stat.com/ This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18 24. Go to www.matt-teachout.org, click on …
CATEGORIES
Economics Nursing Applied Sciences Psychology Science Management Computer Science Human Resource Management Accounting Information Systems English Anatomy Operations Management Sociology Literature Education Business & Finance Marketing Engineering Statistics Biology Political Science Reading History Financial markets Philosophy Mathematics Law Criminal Architecture and Design Government Social Science World history Chemistry Humanities Business Finance Writing Programming Telecommunications Engineering Geography Physics Spanish ach e. Embedded Entrepreneurship f. Three Social Entrepreneurship Models g. Social-Founder Identity h. Micros-enterprise Development Outcomes Subset 2. Indigenous Entrepreneurship Approaches (Outside of Canada) a. Indigenous Australian Entrepreneurs Exami Calculus (people influence of  others) processes that you perceived occurs in this specific Institution Select one of the forms of stratification highlighted (focus on inter the intersectionalities  of these three) to reflect and analyze the potential ways these ( American history Pharmacology Ancient history . Also Numerical analysis Environmental science Electrical Engineering Precalculus Physiology Civil Engineering Electronic Engineering ness Horizons Algebra Geology Physical chemistry nt When considering both O lassrooms Civil Probability ions Identify a specific consumer product that you or your family have used for quite some time. This might be a branded smartphone (if you have used several versions over the years) or the court to consider in its deliberations. Locard’s exchange principle argues that during the commission of a crime Chemical Engineering Ecology aragraphs (meaning 25 sentences or more). Your assignment may be more than 5 paragraphs but not less. INSTRUCTIONS:  To access the FNU Online Library for journals and articles you can go the FNU library link here:  https://www.fnu.edu/library/ In order to n that draws upon the theoretical reading to explain and contextualize the design choices. Be sure to directly quote or paraphrase the reading ce to the vaccine. Your campaign must educate and inform the audience on the benefits but also create for safe and open dialogue. A key metric of your campaign will be the direct increase in numbers.  Key outcomes: The approach that you take must be clear Mechanical Engineering Organic chemistry Geometry nment Topic You will need to pick one topic for your project (5 pts) Literature search You will need to perform a literature search for your topic Geophysics you been involved with a company doing a redesign of business processes Communication on Customer Relations. Discuss how two-way communication on social media channels impacts businesses both positively and negatively. Provide any personal examples from your experience od pressure and hypertension via a community-wide intervention that targets the problem across the lifespan (i.e. includes all ages). Develop a community-wide intervention to reduce elevated blood pressure and hypertension in the State of Alabama that in in body of the report Conclusions References (8 References Minimum) *** Words count = 2000 words. *** In-Text Citations and References using Harvard style. *** In Task section I’ve chose (Economic issues in overseas contracting)" Electromagnetism w or quality improvement; it was just all part of good nursing care.  The goal for quality improvement is to monitor patient outcomes using statistics for comparison to standards of care for different diseases e a 1 to 2 slide Microsoft PowerPoint presentation on the different models of case management.  Include speaker notes... .....Describe three different models of case management. visual representations of information. They can include numbers SSAY ame workbook for all 3 milestones. You do not need to download a new copy for Milestones 2 or 3. When you submit Milestone 3 pages): Provide a description of an existing intervention in Canada making the appropriate buying decisions in an ethical and professional manner. Topic: Purchasing and Technology You read about blockchain ledger technology. Now do some additional research out on the Internet and share your URL with the rest of the class be aware of which features their competitors are opting to include so the product development teams can design similar or enhanced features to attract more of the market. The more unique low (The Top Health Industry Trends to Watch in 2015) to assist you with this discussion.         https://youtu.be/fRym_jyuBc0 Next year the $2.8 trillion U.S. healthcare industry will   finally begin to look and feel more like the rest of the business wo evidence-based primary care curriculum. Throughout your nurse practitioner program Vignette Understanding Gender Fluidity Providing Inclusive Quality Care Affirming Clinical Encounters Conclusion References Nurse Practitioner Knowledge Mechanics and word limit is unit as a guide only. The assessment may be re-attempted on two further occasions (maximum three attempts in total). All assessments must be resubmitted 3 days within receiving your unsatisfactory grade. You must clearly indicate “Re-su Trigonometry Article writing Other 5. June 29 After the components sending to the manufacturing house 1. In 1972 the Furman v. Georgia case resulted in a decision that would put action into motion. Furman was originally sentenced to death because of a murder he committed in Georgia but the court debated whether or not this was a violation of his 8th amend One of the first conflicts that would need to be investigated would be whether the human service professional followed the responsibility to client ethical standard.  While developing a relationship with client it is important to clarify that if danger or Ethical behavior is a critical topic in the workplace because the impact of it can make or break a business No matter which type of health care organization With a direct sale During the pandemic Computers are being used to monitor the spread of outbreaks in different areas of the world and with this record 3. Furman v. Georgia is a U.S Supreme Court case that resolves around the Eighth Amendments ban on cruel and unsual punishment in death penalty cases. The Furman v. Georgia case was based on Furman being convicted of murder in Georgia. Furman was caught i One major ethical conflict that may arise in my investigation is the Responsibility to Client in both Standard 3 and Standard 4 of the Ethical Standards for Human Service Professionals (2015).  Making sure we do not disclose information without consent ev 4. Identify two examples of real world problems that you have observed in your personal Summary & Evaluation: Reference & 188. Academic Search Ultimate Ethics We can mention at least one example of how the violation of ethical standards can be prevented. Many organizations promote ethical self-regulation by creating moral codes to help direct their business activities *DDB is used for the first three years For example The inbound logistics for William Instrument refer to purchase components from various electronic firms. During the purchase process William need to consider the quality and price of the components. In this case 4. A U.S. Supreme Court case known as Furman v. Georgia (1972) is a landmark case that involved Eighth Amendment’s ban of unusual and cruel punishment in death penalty cases (Furman v. Georgia (1972) With covid coming into place In my opinion with Not necessarily all home buyers are the same! When you choose to work with we buy ugly houses Baltimore & nationwide USA The ability to view ourselves from an unbiased perspective allows us to critically assess our personal strengths and weaknesses. This is an important step in the process of finding the right resources for our personal learning style. Ego and pride can be · By Day 1 of this week While you must form your answers to the questions below from our assigned reading material CliftonLarsonAllen LLP (2013) 5 The family dynamic is awkward at first since the most outgoing and straight forward person in the family in Linda Urien The most important benefit of my statistical analysis would be the accuracy with which I interpret the data. The greatest obstacle From a similar but larger point of view 4 In order to get the entire family to come back for another session I would suggest coming in on a day the restaurant is not open When seeking to identify a patient’s health condition After viewing the you tube videos on prayer Your paper must be at least two pages in length (not counting the title and reference pages) The word assimilate is negative to me. I believe everyone should learn about a country that they are going to live in. It doesnt mean that they have to believe that everything in America is better than where they came from. It means that they care enough Data collection Single Subject Chris is a social worker in a geriatric case management program located in a midsize Northeastern town. She has an MSW and is part of a team of case managers that likes to continuously improve on its practice. The team is currently using an I would start off with Linda on repeating her options for the child and going over what she is feeling with each option.  I would want to find out what she is afraid of.  I would avoid asking her any “why” questions because I want her to be in the here an Summarize the advantages and disadvantages of using an Internet site as means of collecting data for psychological research (Comp 2.1) 25.0\% Summarization of the advantages and disadvantages of using an Internet site as means of collecting data for psych Identify the type of research used in a chosen study Compose a 1 Optics effect relationship becomes more difficult—as the researcher cannot enact total control of another person even in an experimental environment. Social workers serve clients in highly complex real-world environments. Clients often implement recommended inte I think knowing more about you will allow you to be able to choose the right resources Be 4 pages in length soft MB-920 dumps review and documentation and high-quality listing pdf MB-920 braindumps also recommended and approved by Microsoft experts. The practical test g One thing you will need to do in college is learn how to find and use references. References support your ideas. College-level work must be supported by research. You are expected to do that for this paper. You will research Elaborate on any potential confounds or ethical concerns while participating in the psychological study 20.0\% Elaboration on any potential confounds or ethical concerns while participating in the psychological study is missing. Elaboration on any potenti 3 The first thing I would do in the family’s first session is develop a genogram of the family to get an idea of all the individuals who play a major role in Linda’s life. After establishing where each member is in relation to the family A Health in All Policies approach Note: The requirements outlined below correspond to the grading criteria in the scoring guide. At a minimum Chen Read Connecting Communities and Complexity: A Case Study in Creating the Conditions for Transformational Change Read Reflections on Cultural Humility Read A Basic Guide to ABCD Community Organizing Use the bolded black section and sub-section titles below to organize your paper. For each section Losinski forwarded the article on a priority basis to Mary Scott Losinksi wanted details on use of the ED at CGH. He asked the administrative resident