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The Rocky Mountain district sales manager of Rath Publishing Inc., a college tex

ID: 3268889 • Letter: T

Question

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 39 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 27 sales representatives reveals that the mean number of calls made last week was 37. The standard deviation of the sample is 2.4 calls. Using the 0.025 significance level, can we conclude that the mean number of calls per salesperson per week is more than 39? H_0: mu lessthanorequalto 39 H_1: mu > 39 Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic What is your decision regarding H_0? Reject H_0. The mean number of calls is greater than 39 per week.

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 39
HA : > 39

Hypothesis test results:

Hence,

Test statistic = -4.330

Do not reject; is not greater (less than or equal to)

Mean Sample Mean Std. Err. DF T-Stat P-value 37 0.46188022 26 -4.330127 0.9999
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