QUESTION 1: Last year a company received 50 complaints concerning carpet installation. The data in t

QUESTION 1: Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint.The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 20days. At the 0.10 level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 20).1) What is the test statistic?QUESTION 2) If, in a sample of n=25 selected from a normal population, X overbar=54 and S=5, what is the value of tStat if your are testing the null hypothesisµ=50.2. What is the Tstat?QUESTION 3) A bank with branches located in a commercial district of a city and in a residential district has the business objective of developing an improved process for serving customers during the noon-to-1 P.M. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the time that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch3. Determine the test statistic (round to four decimal places)