When you calculate the CI for question 4 part 2, please use sample size 25. The total sample size should be 25. 4.(11 points):Choose the correct statement for the following questions. Below are the waiting times in minutes for a random sample of 24 patient sat an emergency room (Er). Note that the sample mean is 70 minutes and the sample standard deviation is 79.1806 minutes. 0 10 10 10 10 10 20 20 30 30 30 40 40 40 50 50 80 90 130 140 150 160 200 330 (1).The five number summary for these data is 0, 10, 40, 110, 330, and the inter-quartile range is 100 minutes. We interpret the IQR to mean that(3 points) a. 50% of the data values are below 100 minutes b. the spread of the middle 50% of the data values is 100 minutes c. values above 100 minutes are outliers d. values above 140 minutes are outliers(2) We wish to construct the 95% confidence interval for the population mean waiting time at this ER. i. What assumptions are necessary to construct this confidence interval? Are those assumptions reasonable for these data? Briefly explain why or why not.(2 points) ii. Regardless of your answer above, suppose that the necessary assumptions are met. Note that the sample mean is 70 minutes, the sample standard de- viation is 80 minutes, and the population standard deviation is unknown. Then the 95% confidence interval for the population mean waiting time at this ER is given by (3 points) a. 70 plus-minus 26.32 b. 70 plus-minus 27.376 c. 70 plus-minus 31.36 d. 70 plus-minus 33.024 3) If we were to construct a 90% confidence interval for the same data, the 90% interval (3 points) a. would be narrower than the 95% interval. b. would be of the same width as the 95% interval. c. would be wider than the 95% interval. d. can not be determined from the given information