Question 1: Fully answer parts A, B, C, and D:

As the Hispanic population in the United States has grown, businesses have tried to understand what Hispanics like. One study interviewed a random sample of customers leaving a bank. Customers were classified as Hispanic if they preferred to be interviewed in Spanish or as Anglo if they preferred English. Each customer rated the importance of several aspects of bank service on a 10--point scale. Here Group n X Sx are the summary results for the importance of Anglo 92 6.37 0.60 "reliability" (the accuracy of account records): 86 Construct and interpret a 95% confidence interval for the Hispanic 5.91 0.93 difference between the mean ratings of the importance of reliability for Anglo and Hispanic customers. a) State the parameters of interest. b) Check the conditions for both populations. c) Name the procedure and find the confidence interval. d) Interpretation in context.Researchers equipped random samples of 56 male and 56 female students from a large university with a small device that secretly records sound for a random 30 seconds during each 12.5--minute period over two days. Then they counted the number of words spoken by each subject during each recording period and, from this, estimated how many words per day each subject speaks. The female estimates had a mean of 16,177 words per day with a standard deviation of 7520 words per day. For the male estimates, the mean was 16,569 and the standard deviation was 9108. Construct and interpret a 95% confidence interval for the difference in mean number of words spoken in a day. a) State the parameters of interest. b) Check the conditions for both populations. c) Name the procedure and find the confidence interval. d) Interpretation in context. e) Is there a difference between the two populations