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 36 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 40 sales representatives reveals that the mean number of calls made last week was 43. The standard deviation of the sample is 2.5 calls. Using the 0.050 significance level, can we conclude that the mean number of calls per salesperson per week is more than 36? H0 : 36 H1 : > 36 (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 36 per week.

Explanation / Answer

1) here std error =std deviaiton/(n)1/2 =2.5/(40)1/2 =0.3953

therefore test statistic t =(X-mean)/std error =(43-36)/0.3953=17.708

Value of the test statistic =17.708

for test statistic is very high for which p value =0.0000

2) hence reject Ho. we have sufficient evidence to conclude that  mean number of calls is greater than 36 per week

please revert for any clarification required.

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