3. A bank in Ottawa is considering a survey of its customers for the purpose of estimating the mcan number of checks written per customer in each month. A sample of 360 customers was selected. The following sample values were recorded: # = 33.4 and s = 11.2. (a) Provide a 90% confidence interval estimate for the mean number of checks written per customer in each month and interpret the estimate.

Auditing: A Risk Based-Approach (MindTap Course List)
11th Edition
ISBN:9781337619455
Author:Karla M Johnstone, Audrey A. Gramling, Larry E. Rittenberg
Publisher:Karla M Johnstone, Audrey A. Gramling, Larry E. Rittenberg
Chapter8: Specialized Audit Tools: Attributes Sampling, Monetary Unit Sampling, And Data Analytics Tools
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3. A bank in Ottawa is considering a survey of its customers for the purpose of
estimating the mean number of checks written per customer in each month. A sample
of 360 customers was selected. The following sample values were recorded: = = 33.4
and s = 11.2.
(a) Provide a 90% confidence interval estimate for the mean number of
checks written per customer in each month and interpret the estimate.
1
(b) Suppose a mistake was made in counting the number of customers
that was surveyed, and the actual sample size was 36 instead of 360. Recompute
the 90% confidence interval estimate, and compare it to the estimate developed
in part (a). Why are the estimates different even though the sample mean and
standard deviation did not change?
(c) The bank is interested in opening another branch in Ottawa. Its
demographic studies indicate that the branch will attract about 2000 customers
who will have checking accounts. The bank is attempting to prepare a system that
would process the checks these customers would write. Baed on your estimation
in part b, would it be reasonable for them to install a system that would process
65000 checks per month? Explain your answer and the logic that led you to this
answer.
Transcribed Image Text:3. A bank in Ottawa is considering a survey of its customers for the purpose of estimating the mean number of checks written per customer in each month. A sample of 360 customers was selected. The following sample values were recorded: = = 33.4 and s = 11.2. (a) Provide a 90% confidence interval estimate for the mean number of checks written per customer in each month and interpret the estimate. 1 (b) Suppose a mistake was made in counting the number of customers that was surveyed, and the actual sample size was 36 instead of 360. Recompute the 90% confidence interval estimate, and compare it to the estimate developed in part (a). Why are the estimates different even though the sample mean and standard deviation did not change? (c) The bank is interested in opening another branch in Ottawa. Its demographic studies indicate that the branch will attract about 2000 customers who will have checking accounts. The bank is attempting to prepare a system that would process the checks these customers would write. Baed on your estimation in part b, would it be reasonable for them to install a system that would process 65000 checks per month? Explain your answer and the logic that led you to this answer.
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