Q1. A random sample of 50 observations on the waiting time (in seconds) of customers before speaking to a representative at a call center is as follows: 33.2 29.4 36.5 38.1 30.0 29.1 32.2 29.5 36.0 31.5 34.5 33.6 27.4 30.4 28.4 32.6 30.4 31.8 29.8 34.6 30.7 31.9 32.3 28.2 27.5 34.9 32.8 27.7 28.4 28.8 30.2 26.8 27.8 30.5 28.5 31.8 29.2 28.6 27.5 28.5 30.8 31.8 29.1 26.9 34.2 33.5 27.4 28.5 34.8 30.5 a) Construct a histogram and comment on the process. b) What assumptions are necessary to test if the mean waiting time is less than 32 seconds? c) Make an appropriate transformation to satisfy the assumption stated in part (b) and validate it. Use 0t = 0.05. d) Test to determine if the mean waiting time is less than 32 seconds. Use or = 0.05. c) Find a 90% condence interval for the variance of waiting time