Persons submitting computing jobs to a computer center usually are required to estimate the amount of computer time required to complete the job. This time is measured in CPUs, the amount of time that a job will occupy a portion of the computer's central processing unit's memory. A computer center decided to perform a comparison of the estimated versus actual CPU times for a particular customer. The corresponding times were available for 11 jobs. The sample data are given in the accompanying table. Job Number CPU Time (minutes) 2 3 4 5 6 7 8 9 10 11 Estimated 0.50 1.61 1.14 0.45 0.95 1.53 1.60 3.41 1.30 0.95 0.96 Actual 0.46 1.52 0.99 0.53 0.71 1.31 1.49 2.90 1.41 0.83 0.74 Assume that all necessary assumptions and conditions are satisfied. (a) Why would you expect that the observations within each of these pairs of data to be correlated? [3 points] (b) Do the data provide sufficient evidence to indicate that, on the average, the customer tends to overestimate the CPU time required for computing jobs? Test using a = 0.05. [10 points] (c) Find the observed significance level for the test. [3 points] (d) Find 95% confidence interval for the difference in mean estimated CPU time versus mean actual CPU time and interpret the result. [4 points]