Question 138864This question is from textbook
: The Rocky Mountain district sales manager of Book Publishing, Inc., a college textbook publishing company, claims that the sales representatives make an average of 45 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 32 sales representatives reveals that the mean number of calls made last week was 46. The standard deviation of the sample is 3.3 calls. Using the .05 significance level, can we conclude that the mean number of calls per salesperson per week is
more than 45?
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Rocky Mountain district sales manager of Book Publishing, Inc., a college textbook publishing company, claims that the sales representatives make an average of 45 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 32 sales representatives reveals that the mean number of calls made last week was 46. The standard deviation of the sample is 3.3 calls. Using the .05 significance level, can we conclude that the mean number of calls per salesperson per week is
more than 45?
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Ho: u = 45
Ha: u > 45
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Critical Value for one-tail t-test with df=31 and alpha = 5% is 1.645
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Test Statistic:
t(46) = (46-45)/[3.3/sqrt(32)] = 1.7142..
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Since the test statistic is in the rejection interval, Reject Ho.
The mean is greater than 45.
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Cheers,
Stan H.
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