A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the critical value for testing the hypothesis using a goodness-of-fit test is = 9.2363 if the alpha level for the test is set at .10.

Question

A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the critical value for testing the hypothesis using a goodness-of-fit test is  = 9.2363 if the alpha level for the test is set at .10.

Quizplus · Accepted Answer

The critical value for the goodness-of-fit test with 6 categories and an alpha level of .10 and degree of freedom (df) of 6-1=5 is 9.2363. The sample size of 200 is large enough to assume normality, and the assumption that the number of cars arriving for service is the same each day of the week implies equal expected frequencies for each category (day of the week). Therefore, with these conditions, a goodness-of-fit test can be used to test the hypothesis, and the critical value is indeed 9.2363.

A Lube and Oil Change Business Believes That the Number