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 40. The standard deviation of the sample is 6.1 calls. Using the 0.025 significance level, can we conclude that the mean number of calls per salesperson per week is more than 39?

     

H₀ : μ ≤ 39

H₁ : μ > 39

  

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

  

Value of the test statistic

  

2.	What is your decision regarding H0?

  

  (Click to select)RejectDo not reject H₀. The mean number of calls is (Click to select)greaterless than 39 per week

Answer 1

Solution :

This is the right tailed test .

Test statistic = t

= ( - ) / s / n

= (40 - 39) / 6.1 / 27

= 0.852

n = 27

df = 26

P-value = 0.201

= 0.025

P-value >

Fail to reject the null hypothesis .

There is insufficient evidence that the mean number of calls is less than 39 per week .