One of the major measures of the quality of service provided by any organization is to speed with which it responds to customer complaints. A large family held department store selling furniture and flooring including carpeting had undergone a major expansionin the past several years. In particular, the flooring department had expanded from 2 installation crews to an installation supervisor, a measurer and 15 installation crews Last year there were 50 complaints concerning carpeting installation . The following data FURNITURE represent the number of days between the receipt of the complaint and resolution of the complaint 54 74 31 1 22 5 27 26 14 36 35 11 5 13 26 137 19 12 13 20 31 126 4 10 23 27 110 165 5 33 152 29 32 27 68 2 61 29 4 123 35 26 52 81 94 25 30 a) Calculate the mean and the standard deviation of this population b) Construct a 95% confidence interval estimate of the population mean number of days between the receipt of the complaint and the resolution of the complaint c) Is it correct to say that the complaints are resolved in about 54 days? d) What assumption should be made in solving problem in part (b) e) Do you think that this assumption made for part (b) is seriously violated? Explain