Question

Here is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 5,-3, -8, where -8 represents a loss of 8 kg and positive values represent weight gained. Using the 200 given bootstrap samples, complete parts (a) and (b) below. Click the icon to view the bootstrap samples. a. Construct a 90% confidence interval of the mean weight change for the population, using the 200 bootstrap samples. (Round to one decimal place as needed.) b. Construct a 90% confidence interval estimate of the standard deviation of the weight changes for the population, using the 200 bootstrap samples (Round to one decimal place as needed.) Find the critical value za/2 that corresponds to the given confidence level. 97% /2(Round to two decimal places as needed.) Enter your answer in the answer box Hw score: 4762%, 33301 7 pts 7.3.11-T al trial was to test the of 44.3 min Assume Clear Al 6 7 0

Answer 1

Given sample n-19 df-n-1-19-1-18 Standard deviation s 44..3 Variance s2- 1962.49 Level of confidence c 0.98 o-1-0.98-0.02 Critical values χα/2-XG02/2- χ1-α/2-χ2-0.02/2- 7.01 (using Chi-square dist table) -(5 ) (n-1)s2 (n-1)s2 98% confidence interval of the standard deviation is -α/2 (19-1)*1962.49 (19-1) 1962.49 34.81 7.01 31.86, 70.99) Using excel the answer is = (3-8579. 70.9625 )