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

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 38 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 38 sales representatives reveals that the mean number of calls made last week was 36. The standard deviation of the sample is 2.2 calls. Using the 0.100 significance level, can we conclude that the mean number of calls per salesperson per week is more than 38? H0 : 38 H1 : > 38 (1) 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 (2) What is your decision regarding H0? H0. The mean number of calls is than 38 per week.

Explanation / Answer

1)

x = 36 , mean = 38 , s = 2.2 n = 38

t = ( x -mean) / ( s /sqrt(n))

= ( 36 - 38) /( 2.2 /sqrt(38))

= -5.604

2)

P value is calculated using t = -5.604 , df = 37

P value = .00001.

we reject the null hypothesis

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