## Question

###### To improve the waiting time of the phone customer service by thebank, the manager randomly selects 49 clients and asks the numberof minutes for each of them waiting for the customer service. Thedata are given below.7, 3, 2, 0, 2, 6, 13, 1, 18, 15, 2, 6, 34, 9, 5, 3, 6, 4, 2, 17, 9,4, 0, 4, 1, 13, 0, 2, 1, 40, 2, 8, 2, 1, 2, 5, 10, 9, 4, 2, 4, 5,6, 7, 0, 1, 17, 6, 4A)To construct a confidence interval for the mean number ofminutes for waiting based on the given number of sample size, whatassumpti

To improve the waiting time of the phone customer service by the bank, the manager randomly selects 49 clients and asks the number of minutes for each of them waiting for the customer service. The data are given below. 7, 3, 2, 0, 2, 6, 13, 1, 18, 15, 2, 6, 34, 9, 5, 3, 6, 4, 2, 17, 9, 4, 0, 4, 1, 13, 0, 2, 1, 40, 2, 8, 2, 1, 2, 5, 10, 9, 4, 2, 4, 5, 6, 7, 0, 1, 17, 6, 4 A)To construct a confidence interval for the mean number of minutes for waiting based on the given number of sample size, what assumption is underlying for the population distribution of the waiting time? 1 The number of minutes for waiting can be modeled by the bimodal distribution. 2 It does not matter what population distribution assumption is because the sample size is sufficiently large. 3 The number of minutes for waiting is normally distributed. 4The number of minutes for waiting has a right-skewed distribution. b)Find a 93% confidence interval for ðœ‡Î¼, the mean number of minutes for waiting on the phone customer service. lower bound= upper bound= c)Calculate marrgin of error? d) What is the most appropriate interpretation of the confidence interval? 1We are 93% confident that the computed interval can capture the true parameter if we repeat the process of generating confidence interval from 49 sample observations. 2We are 93% confident that the mean of the waiting time minutes is within the interval from the answer in part (b). 3 There is a 93% chance that the client is unsatisfactory on their waiting time for the phone service. 4 93% of the waiting time minutes fall in the interval from the answer in part (b).