Fluent Essays

answer these questions multiple choice ............................................................................................. math_160_final_exam_spring_2020.docx Unformatted Attachment Preview 1) Consider sampling heights from the population of all female college soccer players in the United States. Assume the mean height of female college soccer players in the United States is μ = 66 inches and the standard deviation is σ = 3.5 inches. Suppose we randomly sample 100 values from this population and compute the mean, then repeat this sampling process 5,000 times and record all the means we get. Which of the following is the best approximation for the mean of our 5,000 sample means? Group of answer choices 6.6 66 100 2) Consider sampling heights from the population of all female college soccer players in the United States. Assume the mean height of female college soccer players in the United States is μ = 66 inches and the standard deviation is σ = 3.5 inches. Suppose we randomly sample 100 values from this population and compute the mean, then repeat this sampling process 5,000 times and record all the means we get. Which of the following is the best approximation for the standard deviation of the 5,000 sample means? Group of answer choices 0.035 0.35 3.5 3) Suppose that the mean birth weight of human babies is 3100 g. Hospital A records an average of 50 births a day. Hospital B records an average of 10 births a day. On a particular day, which hospital is less likely to record an average birth weight of at least 3400 g? Group of answer choices Hospital A (with 50 births a day), because the mean will typically be closer to 3100 g with more births. Hospital B (with 10 births a day), because with fewer births there will be less variability in mean birth weight. The two hospitals are equally likely to record such an event, because the birth weight of a baby does not depend on the number of babies born that day. 4) Parking survey: For a class assignment, a group of statistics students set up a table near the student parking lot. They asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. They used the information from the survey to calculate the 95\% confidence interval: (0.53, 0.72). To which population does the confidence interval apply? Group of answer choices They apply to all students at the college. The results do not apply to any population because this was a convenience sample. They apply only to the population of those who use the student parking lot. They apply only to the population of those students who drive to the college. 5) In a study of the nicotine patch, 21\% of those who used the patch for 2 months reported no smoking incidents in the following year. The 95\% confidence interval is (17.4\%, 24.8\%). Which of the following is an appropriate interpretation of the 95\% confidence interval? Group of answer choices There is a 95\% probability that the proportion of all nicotine patch users who would report no smoking incidents in the following year is between 17.4\% and 24.8\%. We can be 95\% confident that the proportion of all nicotine patch users who would report no smoking incidents in the following year is between 17.4\% and 24.8\%. We can be 95\% confident that the proportion of the sample who would report no smoking incidents in the following year is between 17.4\% and 24.8\%. 95\% of samples will have between 17.4\% and 24.8\% who would report no smoking incidents in the following year. 6) Sexual assault in college: In a Washington Post/Kaiser Family Foundation poll conducted from January through March 2015, 46\% of adults (ages 17‐26) who attended college during the past 4 years say it’s unclear whether sexual activity when both people have not given explicit agreement is sexual assault. The survey methodology section states that the margin of error is ± 3.5\% at the 95\% confidence level. What does this margin of error tell you about the results of this poll? Group of answer choices We are 95\% confident that the sample proportion has a 3.5\% error. We are confident that 95\% of the responses are within 3.5\% of the population proportion. We are 95\% confident that the population proportion is within 3.5\% of the sample proportion of 46\%. We are confident that population proportion is within 3.5\% of the sample proportion of 46\%. 7) One population proportion test: Which of the following situations involves testing a claim about a single population proportion? Group of answer choices The National Institute of Mental Health estimates that in 2012, 6.9\% of all U.S. adults had at least one major depressive episode in the past year. The university health center director believes that the figure for female college students is higher than this. A CNN article reported that members of the class of 2013 graduated with an average $35,200 in college-related debt. A student is interested in investigating whether the average debt is higher among students graduating from her college this year. A professor wants to know whether student performance is lower in earlier afternoon classes, compared to evening classes. The proportion of students who passed the most recent exam in her early afternoon class was 8\% less than the proportion of students who passed the same exam in her evening class. Are women better at multitasking than men? Researchers conducted a multitasking experiment in which 120 men and 120 women played a computer game in which they were asked to carry out two tasks at the same time. The female group had an average speed that was faster than that of the male group. 8) Academic Advising: In 2014, the Community College Survey of Student Engagement reported that 32\% of the students surveyed rarely or never use academic advising services. Since then, a local California community college that participated in the survey hired several new academic counselors and focused on outreach efforts to increase student awareness of available services. The counseling office staff then conducted a survey of 500 randomly selected students at the college, and 26\% of those students said that they rarely or never use academic advising services. Campus administrators want to know whether the hiring and outreach efforts actually decreased student use of academic advising. Which alternative hypothesis is appropriate? Group of answer choices The percentage of students at the college who say that they rarely or never use academic advising services is not the same as the percentage reported by the Community College Survey of Student Engagement (32\%). The percentage of students at the college who say that they rarely or never use academic advising services is 26\%. The percentage of students at the college who say that they rarely or never use academic advising services is less than the percentage reported by the Community College Survey of Student Engagement (32\%). The percentage of students at the college who say that they rarely or never use academic advising services is greater than the percentage reported by the Community College Survey of Student Engagement (32\%). 9) Best ontime airlines: Hawaiian Airlines topped the list of the most punctual U.S. airlines for full-year 2014, according to data released by the Bureau of Transportation Statistics. The on-time arrival performance was 91.9\% Another aviation data service believes that this percentage now is even higher. The team of researchers chose 130 randomly selected flights and find that 120 of the flights arrived on time. Can a hypothesis test be used to determine whether the proportion of Hawaiian Airlines flights that arrive on-time is higher than 91.9\%? Group of answer choices Yes, because the sample is random. Thus, it is representative of the population of flights for the airlines. Yes, because the sample is random and (130)(0.923) and (130)(0.077) are both at least 10. This means the normal model is a good fit for the sampling distribution. Yes, because the sample is random and (130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is a good fit for the sampling distribution. 10) Gun rights vs. gun control: In a December 2014 report, “For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control.” According to a Pew Research survey, 52\% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun control advocates in an urban city believe that the percentage is lower among city residents and conduct a survey. They test the hypotheses H 0: calculate a P‐value of 0.078. p = 0.52 versus H a: p < 0.52. They Using a significance level of 0.05, which of the following is the best explanation for how to use the P‐value to reach a conclusion in this case? Group of answer choices Since the P‐value is greater than the significance level, we reject the null hypothesis. Since the P‐value is greater than the significance level, we fail to reject the null hypothesis. Since the P‐value is greater than the significance level, we accept the null hypothesis. 11) Texting while driving: The accident rate for students who didn’t text while using a driving simulator was 7\%. In a driver distraction study of 1,876 randomly selected students, the accident rate for students who texted while driving was higher than 7\%. This difference was statistically significant at the 0.05 level. Which of the following best describes how we should interpret these results? Group of answer choices Because of the large size of the sample, these results are strong evidence that texting accounts for a much larger proportion of accidents in the population of student drivers. With a large sample, statistically significant results may actually be only a small improvement over the control group (depending on the size of the increase in percentages). With a large sample, statistically significant results suggest a large increase in the accident rate for the texting group over the control group. Regardless of the sample size, a statistically significant result means there is a meaningful difference in the accident rates for the two groups. 12) Scatterplot direction: Which of the plots has a negative association? Group of answer choices Plot 1 Plot 2 Plot 3 Plot 4 13) The four correlation coefficients for the scatterplots shown are −0.75, 0.09, 0.88, and 0.99. Which one of these correlation coefficient values is the most appropriate choice for the data shown in Plot 4? Group of answer choices −0.75 0.09 0.88 0.99 14) Which one of the four scatterplots above matches the following description? For children who are age 10 to 17, there is a strong positive linear association between a childs age and his/her reading test score. Group of answer choices Scatterplot A Scatterplot B Scatterplot C Scatterplot D 15. Correlation coefficient: If the correlation coefficient for a given scatterplot is r = –0.81, which of the following must be true about the relationship between the explanatory and response variable? Group of answer choices The association has a linear form. The association must be positive. The slope must be negative. The association is weakened by outliers. 16) Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (mpg). Heavier cars tend to have lower fuel efficiencies (lower mpg ratings). Which variable (weight or fuel efficiency) is most naturally considered the explanatory (predictor) variable in this context? Group of answer choices Weight Fuel efficiency Please show all STEPS for FULL CREDIT. 17) For the following data, find: (10 points) a) 5 number summary b) mode c) is there any outlier(s)? 0 32 45 53 64 32 79 80 95 160 170 350 18) Here is the distribution of conferred doctorates by field and gender in 2009. NOTE: ALL FIELDS ARE DOCTORATES. Engineering Physical Life Social Education Other Row Sciences Sciences Sciences Totals Male 6006 5868 5180 3259 2160 3865 26,338 Female 1623 2450 6212 4575 4370 3960 23,190 Column 7629 8318 11,392 7834 6530 7825 49,528 Totals Use the table to find each of the following probabilities. (10 points) a) P(Physical Sciences) b) P(Male and Life Sciences) c) P(Engineering|Female) ... Purchase answer to see full attachment