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The Branch Manager for United Savings and Loan in Seaside

question 21

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The branch manager for United Savings and Loan in Seaside, Virginia, has worked with her employees in an effort to reduce the waiting time for customers at the bank. Recently, she and the team concluded that average waiting time is now down to 3.5 minutes with a standard deviation equal to 1.0 minute. However, before making a statement at a managers' meeting, this branch manager wanted to double-check that the process was working as thought. To make this check, she randomly sampled 25 customers and recorded the time they had to wait. She discovered that mean wait time for this sample of customers was 4.2 minutes. Based on the team's claims about waiting time, what is the probability that a sample mean for n = 25 people would be as large or larger than 4.2 minutes?


Definitions:

Deferral Method

A method of accounting that allows for income or expenses to be recognized at a later date rather than when they are initially incurred.

Donated Land

This informs the recording of land gifted to an entity, valued at its fair market value at the time of donation as an asset on the balance sheet.

Donated Machinery

Assets received for free by an entity, where the fair market value of the machinery is recorded as both income and an asset on the balance sheet.

Volunteer Hours

The amount of time individuals spend performing unpaid services for nonprofit organizations or community projects.

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