A fast food chain operation is interested in determining whether the mean per customer purchase differs by day of the week.To test this,it has selected random samples of customers for each day of the week.The analysts then ran a one-way analysis of variance generating the following output: ANOVA: Single Factor Based upon this output,which of the following statements is true if the test is conducted at the 0.05 level of significance?
A)There is no basis for concluding that mean sales is different for the different days of the week.
B)Based on the p-value,the null hypothesis should be rejected since the p-value exceeds the alpha level.
C)The experiment is conducted as an unbalanced design.
D)Based on the critical value,the null should be rejected.

Question

A fast food chain operation is interested in determining whether the mean per customer purchase differs by day of the week.To test this,it has selected random samples of customers for each day of the week.The analysts then ran a one-way analysis of variance generating the following output: ANOVA: Single Factor  Based upon this output,which of the following statements is true if the test is conducted at the 0.05 level of significance?
A)There is no basis for concluding that mean sales is different for the different days of the week. 
B)Based on the p-value,the null hypothesis should be rejected since the p-value exceeds the alpha level. 
C)The experiment is conducted as an unbalanced design. 
D)Based on the critical value,the null should be rejected.

Quizplus · Accepted Answer

The p-value (0.264) exceeds the alpha level of 0.05, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we cannot conclude that mean per customer purchase differs by day of the week. The question does not provide any information regarding the experiment being conducted as an unbalanced design or critical value, making choices C and D incorrect.

A Fast Food Chain Operation Is Interested in Determining Whether