DETERMINE  I) the alternative hypothesis to be tested: II) the value of test statistic III) the p-value for this problem and the conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The management at The Bank of the United States claims that the mean waiting time for all customers at its branches is less than that at the Public Bank, which is its main competitor. A business consulting firm took a sample of 100 customers from the The Bank of the United States and found that they waited an average of 4.5 minutes before being served. Another sample of 200 customers taken from the Public Bank showed that these customers waited an average of 4.75 minutes before being served. Assume that the standard deviations for the two populations are 1.2 and 1.5 minutes, respectively. Suppose you must test the hypothesis at 5% significance level whether the claim of the management of the The Bank of the United States is true.

2.DETERMINE 

I) the alternative hypothesis to be tested:

II) the value of test statistic

III) the p-value for this problem and the conclusion 

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