b. A random sample of 15 Bank of America customers showed a mean waiting time (in minutes) of 5.1 minutes with a standard deviation of 2.2 minutes. Another random sample of 27 Citibank customers showed a mean waiting time (in minutes) of 4.6 minutes with a standard deviation of 2.6 minutes. i. Carry out a test at a = 0.01 to find whether the mean waiting rime of Citibank customers is significantly less than the mean waiting time of Bank of America customers. Assume that population variances are equal. What is your conclusion?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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b. A random sample of 15 Bank of America customers showed a mean waiting time (in minutes) of 5.1
minutes with a standard deviation of 2.2 minutes. Another random sample of 27 Citibank customers
showed a mean waiting time (in minutes) of 4.6 minutes with a standard deviation of 2.6 minutes.
i. Carry out a test at a = 0.01 to find whether the mean waiting rime of Citibank customers is significantly
less than the mean waiting time of Bank of America customers. Assume that population variances are
equal. What is your conclusion?
ii. Based on the test result, which type of decision error may have occurred? Explain.
Transcribed Image Text:b. A random sample of 15 Bank of America customers showed a mean waiting time (in minutes) of 5.1 minutes with a standard deviation of 2.2 minutes. Another random sample of 27 Citibank customers showed a mean waiting time (in minutes) of 4.6 minutes with a standard deviation of 2.6 minutes. i. Carry out a test at a = 0.01 to find whether the mean waiting rime of Citibank customers is significantly less than the mean waiting time of Bank of America customers. Assume that population variances are equal. What is your conclusion? ii. Based on the test result, which type of decision error may have occurred? Explain.
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ISBN:
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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