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.
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.
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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
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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