Question 466448
A local bank claims that the waiting time for its customers to be served is the lowest in the area.
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A competitor bank checks the waiting times at both banks. The sample statistics are listed below. 
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Test the local bank’s claim. Use the information given below. State the null and alternative hypotheses, the significance level, the critical value, the test statistic, the decision and conclusion. 
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...........Local Bank..Competitor Bank 
Sample size n1 = 45  ; n2 = 50 
Average waiting time in minutes 2.3 min. 2.6 min. for each sample 
Sample Standard Deviation of s1 = 1.1 min. s2 = 1.0 min. for each sample.
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I ran a 2-Sample T-test and got the following:
Ho: u1 - u2 >= 0
Ha: u1 - u2 <  0 (claim)
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test stat: t =-1.3854
p-value = 0.0847
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Conclusion: Since the p-value is greater than 5%,
reject Ho at the 5% level.
The test results support the claim.
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Cheers,
Stan H.
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