Prob4 bank branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1:00p.m. lunch period. The waiting time (defined as the time the customer enters the line until he or she reaches the teller window) of a random sample of 15 customers is collected, and the results are organized and stored in Bank1. These data are: 4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50 6.10 0.38 5.12 6.46 6.19 3.79 a. At the 0.05 level of significance, is there evidence that the population mean waiting time is less than 5 minutes? b. What assumption about the population distribution is needed in order to conduct the r test in (a)? e. Construct a boxplot or a normal probability plot to evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct the test in (a) is valid? Explain. e. As a customer walks into the branch office during the lunch hour, she asks the branch manager how long she can expect to wait. The branch manager replies, "Almost certainly not longer than 5 minutes." On the basis of the results of (a), evaluate this statement.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Prob4 bank branch located in a commercial district of a city has the
business objective of improving the process for serving customers
during the noon-to-1:00p.m. lunch period. The waiting time (defined
as the time the customer enters the line until he or she reaches the
teller window) of a random sample of 15 customers is collected,
and the results are organized and stored in Bank1. These data are:
4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20
4.50 6.10 0.38 5.12 6.46 6.19 3.79
a. At the 0.05 level of significance, is there evidence that the
population mean waiting time is less than 5 minutes?
b. What assumption about the population distribution is needed in
order to conduct the / test in (a)?
e. Construct a boxplot or a normal probability plot to evaluate the
assumption made in (b).
d. Do you think that the assumption needed in order to conduct the
test in (a) is valid? Explain.
e. As a customer walks into the branch office during the lunch
hour, she asks the branch manager how long she can expect to
wait. The branch manager replies, "Almost certainly not longer
than 5 minutes." On the basis of the results of (a), evaluate this
statement.
Transcribed Image Text:Prob4 bank branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1:00p.m. lunch period. The waiting time (defined as the time the customer enters the line until he or she reaches the teller window) of a random sample of 15 customers is collected, and the results are organized and stored in Bank1. These data are: 4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50 6.10 0.38 5.12 6.46 6.19 3.79 a. At the 0.05 level of significance, is there evidence that the population mean waiting time is less than 5 minutes? b. What assumption about the population distribution is needed in order to conduct the / test in (a)? e. Construct a boxplot or a normal probability plot to evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct the test in (a) is valid? Explain. e. As a customer walks into the branch office during the lunch hour, she asks the branch manager how long she can expect to wait. The branch manager replies, "Almost certainly not longer than 5 minutes." On the basis of the results of (a), evaluate this statement.
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