Question

A sales representative who is on the road visiting clients thinks that, on 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 128 miles on Mondays, 203 miles on Tuesdays, 175 miles on Wednesdays, 188 miles on Thursdays, and 108 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 t is appropriate to use he chi square goodness-of-fit because there is no pattern in he data, and t is measured in a summer count of multiple weeks. O B. It is not appropriate to use the chi-square goodness-of-fit test because the average number of miles traveled is quantative data, not counts. O 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. 0 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.

Answer 1

Correct Answer:

B. It is not appropriate to use the Chi-square goodness-of-fit test because the average number of miles traveled is quantitative data, not counts.

Explanation:

While using Chi-square goodness-of-fit test we need the frequency (Number of Counts) for each day, not an average for each day. However, in this example the average miles of Monday to Friday is given. It is not useful for checking the goodness-of-fit of data.