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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.
CPU Time
Job Number
(minutes)
I
2
3
4
5
6
7
8
9
10
11
Estimated
.50
1.40
.95
.45
.75
1.20
1.60
2.6
1.30
.85
.60
Actual
.46
132
.99
.53
.71
1.31
149
2.9
1.41
.83
.74
a Why would you expect that the observations within each of these pairs of data to be correlated?
b Do the data provide sufficient evidence to indicate that, on the average, the customer tends to underestimate the CPU time required for computing jobs? Test using α=.10.
c Find the observed significance level for the test and interpret its value.
d Find a 90% confidence interval for the difference in mean estimated CPU time versus mean actual CPU time.
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