Question

A sales manager believes that a firm's sales representatives should spend about 44 days traveling in...

A sales manager believes that a firm's sales representatives should spend about 44 days traveling in a period of 5 months. If they are on the road for much less, new orders decline and the service and news-gathering functions of the representatives are not adequately met. If they travel too much, expense accounts eat up any incremental profit. A random sample of sales representatives is taken and the number of travel days for each in the last 5 months is observed.

n=16 xbar=46.250 S=6.836

(1) Use Minitab to conduct a test to see if the mean number of travel days (per 5 months) for all sales representatives at this company is not 44. Report the value of the appropriate test statistic and p-value. Assume that the number of travel days is normally distributed.

Test Statistic Value =  (rounded to 2 decimal places)
p-value =  (rounded to 3 decimal places; 4 for Minitab Express)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Ho: the mean number of travel days (per 5 months) for all sales representatives at this company is 44. u = 44
h1: the mean number of travel days (per 5 months) for all sales representatives at this company is not 44. u =/= 44

Test Statistic Value = 1.32 (rounded to 2 decimal places)
p-value = 0.208

With t(15) = 1.32, p>5%, i fail to reject ho and conclude that the mean number of travel days (per 5 months) for all sales representatives at this company is 44. u = 44.

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