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Answer these questions, should have one chart for each question.1.Election Results. The 2016 election was a race in which Donald Trump defeated Hillary Clinton and other candidates, winning 304 electoral votes, or 57\% of the 538 available. However, Trump only won 46.1\% of the popular vote, while Clinton won 48.2\%. The popular vote (in thousands) for Donald Trump in each of the 50 states is listed as follows2.Election Results, continued. Refer to Exercise 1. Listed here is the percentage of the popular vote received by President Trump in each of the 50 states. 3. Pulse Rates. A group of 50 biomedical students recorded their pulse rates by counting the number of beats for 30 seconds and multiplying by 2.4.What’s Normal? The 98.6-degree standard for human body temperature was derived by a German doctor in 1868. To check this claim, Allen Shoemaker22 recorded the body temperatures of 130 healthy people. The relative frequency histogram of these data follows.5.1. Raisins. The number of raisins in each of 14 miniboxes (1/2 -ounce size) was counted for a generic brand and for Sunmaid brand raisins. The two data sets are shown here: 6.1. Arranging objects. The following data are the response times in seconds for n=25 first graders to arrange three objects by size. questions_and_data.docx Unformatted Attachment Preview 1. Election Results. The 2016 election was a race in which Donald Trump defeated Hillary Clinton and other candidates, winning 304 electoral votes, or 57\% of the 538 available. However, Trump only won 46.1\% of the popular vote, while Clinton won 48.2\%. The popular vote (in thousands) for Donald Trump in each of the 50 states is listed as follows State AL AK AZ AR CA CO CT DE FL GA HI ID IL IN IA KS KY LA ME MD MA MI MN MS MO MT NE NV NH NJ NM NY NC ND OH Popular vote 1319 163 1252 685 4484 1202 673 185 4618 2089 129 409 2146 1557 801 671 1203 1179 336 943 1091 2280 1323 701 1595 279 496 512 346 1602 320 2820 2363 217 2841 OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY 949 782 2971 181 1155 228 1523 4685 515 95 1769 1222 489 1405 174 a. By just looking at the table, what shape do you think the distribution for the popular vote by state will have? b. Draw a relative frequency histogram to describe the distribution of the popular vote for President Trump in the 50 states. c. Did the histogram in part b confirm your guess in part a? Are there any outliers? How can you explain them? 2. Election Results, continued. Refer to Exercise 1. Listed here is the percentage of the popular vote received by President Trump in each of the 50 states. State AL AK AZ AR CA CO CT DE FL GA HI Percentage 62 51 49 61 32 43 44 42 49 51 30 ID IL IN IA KS KY LA ME MD MA MI MN MS MO MT NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY 59 39 57 51 57 63 58 45 34 33 47 45 58 57 56 59 46 46 41 40 37 50 63 52 65 39 48 39 55 62 61 52 46 30 44 37 68 47 68 a. By just looking at the table, what shape do you think the distribution for the percentage of the popular vote by state will have? b. Draw a relative frequency histogram to describe the shape of the distribution and look for outliers. Did the graph confirm your answer to part a? 3. Pulse Rates. A group of 50 biomedical students recorded their pulse rates by counting the number of beats for 30 seconds and multiplying by 2. Pulse 80 70 88 70 84 66 84 82 66 42 52 72 90 70 96 84 96 86 62 78 60 82 88 54 66 66 80 88 56 104 84 84 60 84 88 58 72 84 68 74 84 72 62 90 72 84 72 110 100 58 a. Why are all of the measurements even numbers? b. Draw a stem and leaf plot to describe the data, split-ting each stem into two lines. c. Construct a relative frequency histogram for the data. d. Write a short paragraph describing the distribution of the student pulse rates. 4. What’s Normal? The 98.6-degree standard for human body temperature was derived by a German doctor in 1868. To check this claim, Allen Shoemaker22 recorded the body temperatures of 130 healthy people. The relative frequency histogram of these data follows. Temperature 96.3 96.7 96.9 97 97.1 97.1 97.1 97.2 97.3 97.4 97.4 97.4 97.4 97.5 97.5 97.6 97.6 97.6 97.7 97.8 97.8 97.8 97.8 97.9 97.9 98 98 98 98 98 98 98.1 98.1 98.2 98.2 98.2 98.2 98.3 98.3 98.4 98.4 98.4 98.4 98.5 98.5 98.6 98.6 98.6 98.6 98.6 98.6 98.7 98.7 98.8 98.8 98.8 98.9 99 99 99 99.1 99.2 99.3 99.4 99.5 96.4 96.7 96.8 97.2 97.2 97.4 97.6 97.7 97.7 97.8 97.8 97.8 97.9 97.9 97.9 98 98 98 98 98 98.1 98.2 98.2 98.2 98.2 98.2 98.2 98.3 98.3 98.3 98.4 98.4 98.4 98.4 98.4 98.5 98.6 98.6 98.6 98.6 98.7 98.7 98.7 98.7 98.7 98.7 98.8 98.8 98.8 98.8 98.8 98.8 98.8 98.9 99 99 99.1 99.1 99.2 99.2 99.3 99.4 99.9 100 100.8 a. Describe the shape of the distribution of temperatures. b. Are there any unusual observations? Can you think of any explanation for these? c. Locate the 98.6-degree standard on the horizontal axis of the graph. Does it appear to be near the center of the distribution? 5. 1. Raisins. The number of raisins in each of 14 miniboxes (1/2 -ounce size) was counted for a generic brand and for Sunmaid brand raisins. The two data sets are shown here: Generic Sunmaid 25 25 26 28 26 25 26 28 26 29 28 24 27 28 26 24 25 24 28 28 24 30 28 24 27 22 25 27 a. What are the mean and the standard deviation for the generic brand? b. What are the mean and the standard deviation for the Sunmaid brand? c. Compare the centers and variabilities of the two brands using the results of parts a and b. 2. Raisins, continued Refer to Exercise 1. a. Find the median, the upper and lower quartiles, and the IQR for each of the two data sets. b. Construct two box plots on the same horizontal scale to compare the two sets of data. c. Draw two stem and leaf plots and describe the shapes of the two data sets. Do the box plots in part b verify these results? d. If none of the boxes of raisins are being underfilled (that is, they all weigh approximately 1/2 ounce), what do your results say about the average number of raisins for the two brands? 6. 1. Arranging objects. The following data are the response times in seconds for n=25 first graders to arrange three objects by size. Time 5.2 4.2 3.1 3.6 4.7 3.8 4.1 2.5 3.9 3.3 5.7 4.3 3 4.8 4.2 3.9 4.7 4.4 5.3 3.8 3.7 4.3 4.8 4.2 5.4 a. Find the mean and the standard deviation for these 25 response times. b. Order the data from smallest to largest. c. Find the z-scores for the smallest and largest response times. Are these times unusually large or small? Explain. 2. Arranging objects, continued Refer to Exercise 1. a. Find the five-number summary for this data set. b. Draw a box plot for the data. c. Are there any unusually large or small response times identified by the box plot? d. Construct a stem and leaf display for the response times. How would you describe the shape of the distribution? Does the shape of the box plot confirm this result? ... Purchase answer to see full attachment
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