The branch manager for Bank A in Universiti Sains Malaysia has worked with her employees in effort to reduce the waiting time for customers at the bank. Recently, she and her team concluded that average waiting time is now down to 3.5 minutes with standard deviation equal to 1.0 minute. However, before making a statement at a senior 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 branch manager team's claims about waiting time, prepare a managerial report that addresses the following issue. 1.b. Calculate the probability that a sample mean for n=25 people would be as large or larger than 4.2 minutes.

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The branch manager for Bank A in Universiti Sains Malaysia has worked with her employees in
effort to reduce the waiting time for customers at the bank. Recently, she and her team concluded
that average waiting time is now down to 3.5 minutes with standard deviation equal to 1.0 minute.
However, before making a statement at a senior 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 branch manager team's claims about waiting time, prepare a managerial report that
addresses the following issue.
1.b. Calculate the probability that a sample mean for n=25 people would be as large or larger than
4.2 minutes.
Transcribed Image Text:The branch manager for Bank A in Universiti Sains Malaysia has worked with her employees in effort to reduce the waiting time for customers at the bank. Recently, she and her team concluded that average waiting time is now down to 3.5 minutes with standard deviation equal to 1.0 minute. However, before making a statement at a senior 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 branch manager team's claims about waiting time, prepare a managerial report that addresses the following issue. 1.b. Calculate the probability that a sample mean for n=25 people would be as large or larger than 4.2 minutes.
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