The Rocky Mountain district sales manager of Rath Publishing

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 43 sales representatives reveals that the mean number of calls made last week was 38. The standard deviation of the sample is 2.6 calls. Using the 0.010 significance level, can we conclude that the mean number of calls per salesperson per week is more than 37?

Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Solution

here t-test should use the test statistic value T=2.52

and P-value is 0.008 which is less than the significance level 0.01 so we reject H0 and conclude that  mean number of calls per salesperson per week is more than 37