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Heart rate data for a random sample of males and females were obtained. The data are available in the accompanying table. Complete parts a and b below. Click the icon to view the data table. a. Find a 95% confidence interval for the difference between the mean heart rates of males and females ("Male -HFemale ). Based on your confidence interval, is there a significant difference in the mean heart rates of females and males? Explain. The 95% confidence interval is (D) (Round to two decimal places as needed. Use ascending order.)\fA survey of males and females asked respondents how long {in years} they thought it would be before selfdriving cars were the majority of vehicles on the road, and a random sample from this survey was seleded. Complete parts a and l] below. a Click the icon to View the data table. E) a. Find a 95% condence interval for the dilferenoe between males and females [Male \"Female) regarding mean lengths of time before selfdriving cars are the majorlty of vehicles on the road. The 95% condence interval is [DD]. {Round to two decimal places as needed. Use ascending order.} Using the browser's print will lead to an undesirable print-out Use the Print Item from the "Question Help" menu to get a batter print-put. Female 10 30 20 16 10 16 16 16 20 15 1510 in Ball-Driving Car Responses 30 10 20 Mala FomaloThe prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. Click the icon to view the table of prices. a. Find the sample mean for University A. (Round to the nearest cent as needed.)Data Table University A ($) University B ($) 68 65 63 65 91 104 76 30 57 57 83 83 82 90 89 91 40 52 84 49 49 92 92 43 54 54 70 83 91In a statistics class, students took their pulses before and after being frightened. The frightening event was having the teacher scream and run from one side of the room to the other. The pulse rates (beats per minute) of the women before and after the scream were obtained separately and are shown in the accompanying table. Treat this as though it were a random sample of female community college students. Test the hypothesis that the mean of college women's pulse rates is higher after a fright, using a significance level of 0.05. Click the icon to view the table of pulse rates before and after the scream. A. Ho: Hdifference = 0 O B. Ho- Hdifference *0 Ha Hdifference $0 Ha- Hdifference = 0 O C. Ho: Hdifference = 0 O D. Ho- Hdifference *0 Ha Hdifference * 0 Ha- Hdifference = 0 O E. Ho: Hdifference = 0 OF. Ho- Hdifference >0 Ha: "difference >0 Ha- Hdifference = 0 Step 2: Prepare Choose a test. Should it be a paired t-test or a two-sample t-test? Why? O A. The test should be a two-sample t-test because the observations are independent. B. The test should be a paired t-test because the observations are independent. O C. The test should be a two-sample t-test because the samples are paired. O D. The test should be a paired t-test because the samples are paired.\fThe prices of a random sample of comparable (matched) textbooks from two schools were recorded. Assume that the population distribution of differences is approximately Normal, and assume that the sampling was random. Each book was priced separately; there were no books "bundled" together. a. Compare the sample means. b. Determine whether the mean prices of all books are significantly different. Use a significance level of 0.05. Click the icon to view the table of prices. a. Find the sample mean for University A. (Round to the nearest cent as needed.)