The customer service department of a local gas utility company would like to estimate the average length of time between the entry of service request and the connection of service called the response time. A random sample of 5 houses was selected from the records available during the past year. The results in number of days are displayed below:
11, 12, 9, 10, 13
a) Compute the sample mean and sample standard deviation of the response time.
b) Construct a 95% confidence interval for the average response time for all customers requesting connection of service.
c) How would you explain the confidence interval for the response time to the President of the company? Provide a clear and complete answer. Use actual variable names and numbers in your answer. Do not use words like "population" in your answer that the president may not understand.