Question 138203: A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. 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.
Local Bank Competitor Bank
Sample size n1 = 45 n2 = 50
Average Waiting 2.3 min. 2.6 min.
time in minutes
for each sample
Sample standard s1 = 1.1 min. s 2 = 1.0 min.
Deviation of each
sample
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. 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.
...................Local Bank Competitor Bank
Sample size........ n1 = 45..... n2 = 50
Average Waiting.... 2.3 min..... 2.6 min.
time in minutes for each sample)
Sample standard.... s1=1.1 min.. s2=1.0 min.
Deviation of each)
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Ho: local mean - competitor mean = 0
Ha: local mean - competitor mean < 0
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I ran a 2-Sample T-test with pooled data to get:
test statistic: t = -1.3925
p-value: 0.0836
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Conclusion:
Since p-value is greater than 5% Fail to reject Ho.
The waiting times are the same.
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Cheers,
Stan H.
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