In: Statistics and Probability
Long answer question [5 marks]
Winnipeg district sales manager of Far End Inc. a university textbook publishing company, claims that the sales representatives makes an average of 40 calls per week on professors. Several representatives say that the estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 42 and variance is 4.41.
Conduct an appropriate hypothesis test, at the 5% level of significance to determine if the mean number of calls per salesperson per week is more than 40.
(a) Provide
the hypothesis statement
(b) Calculate
the test statistic value
(c) Determine
the probability value
(d) Provide an interpretation of the P-value (1
Mark)