Suppose that the population of the number of hours slept by all college students the night before finals is approximately normally distributed. A report claimed that the mean of this population is 6.07 hours. As a student wellness advocate, you want to test this claim, so you select a random sample of? 17 college students and record the number of hours each slept the night before finals. Follow the steps below to construct a 99% confidence interval for the population mean of all the numbers of hours slept by college students the night before finals. Then state whether the confidence interval you construct contradicts the report's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of students Sample mean Take Sample 17 6.508 deviation 1.339 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Point estimate: Standard error: Sample standard deviation: Critical values Margin of error: 10.005 -2.921 Critical value: 10.010-2.583 99% confidence interval: 10.025-2.120 Compute '0.050-1.746 0.100 1.337 (b) Based on your sample, graph the 99% confidence interval for the population mean of all the numbers of hours slept by college students the night before finals. Enter the values for the lower and upper limits on the graph to show your confidence interval. For the point (*), enter the claim 6.07 from the report. 99% confidence interval: (c) 0.000 0.000 2,000 4.000 5.000 10.000 6.000 8.000 10.000 Does the 99% confidence interval you constructed contradict the claim made in the report? Choose the best answer from the choices below. No, the confidence interval does not contradict the claim. The mean of 6.07 hours from the report is inside the 99% confidence interval. No, the confidence interval does not contradict the claim. The mean of 6.07 hours from the report is outside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 6.07 hours from the report is inside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 6.07 hours from the report is outside the 99% confidence interval.