A mail-order business prides itself in its ability to fill customers' orders in less than six calendar days,on average.Periodically,the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders.On one occasion when a sample of 39 orders was selected,the average number of days was 6.65 with a sample standard deviation of 1.5 days.What is the critical value for $\alpha$ = .10 to test the hypotheses.
A)-1.28
B)-1.96
C)-2.33
D)1.28
E)1.96

Question

Quizplus · Accepted Answer

Since we are testing the hypothesis with a level of significance of alpha = 0.10, the critical value for F1F1F1S1F1F1F10 will be found in the F-distribution table with degrees of freedom (n1-1) = (39-1) = 38 for numerator and (n2-1) = (infinity) for denominator, where n1 represents the sample size. 
Using a calculator or F-distribution table, we find the critical value to be 2.33. Thus, if the calculated F-value for the test is greater than 2.33, we reject the null hypothesis.

A Mail-Order Business Prides Itself in Its Ability to Fill α\alphaα

A Mail-Order Business Prides Itself in Its Ability to Fill $\alpha$