Human Resources took a survey and found that the average commute time one way is more than 25 minutes. However, one of the executives feels that the commute is less. He randomly selects 25 commuters and finds that the average is 24.1 minutes with a standard deviation of 5.3 minutes. At alpha = 0.05, is he correct?b) Construct a 90% CIEPROBLEM 3 (10 points) A company manufactures wind turbines. A random sample of 16 turbines is taken and the sample mean life is 10.00 years with a standard deviation of 2 years. If you were constructing a 90% two-sided confidence interval estimate, the upper limit would be PROBLEM 4 (25 points) A report stated that on average a woman visits her physician 5.8 times a year. A researcher randomly selects 20 women and obtained these data:3 2 1 3 7 2 9 4 6 68 0 5 6 4 2 1 3 4 1At α=.05 can it be concluded that the average is 5.8 per year?PROBLEM 5 (25 points) A medical investigation claims that the average number of infections per week at a hospital in Westchester is at less than 26. A random sample of 10 weeks had a mean number of 27 infections. The sample standard deviation is 1.8. Is there enough evidence to reject the investigator’s claim at alpha =.025?Construct a 99% CIE