A sales representative who is on the road visiting clients thinks that or averag

Question

A sales representative who is on the road visiting clients thinks that or average, he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 113 miles on Mondays, 211 miles on Tuesdays, 183 miles on Wednesdays, 170 miles on Thursdays, and 113 miles on Fridays. He wonders if this evidence contradicts his belief in a uniform distribution of miles across the days of the week. Is it appropriate to test his hypothesis using the chi-square goodness of fit test? Explain. Choose the correct answer below. A. It is appropriate to use the chi-square goodness-of-fit because there is no pattern in the data, and it is measured in a summary count of multiple weeks. B. It is not appropriate to use the chi-square goodness-of-fit test because the average number of miles traveled is qualitative data, not counts. C. It is not appropriate to use the chi-square goodness-of-fit test because the salesman only has data for one week, and he would need multiple weeks to use this type of test. D. It is appropriate to use the chi-square goodness-of-fit because he has counts, all of the expected counts are greater than 5, and we have the entire population for his work week.

Explanation / Answer

The chi-square goodness of fit test is used when

So, in the given question

It is appropriate to use the chi-square goodness of fit beacause he has counts, all of the expected counts are greatr than 5, and we have the entire population for his work week.

Answer is (D)

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