MATH 240 - Restaurants

Use the Excel file “Restaurants”. Your objective is to find out if the ratings are different for city versus suburban restaurants.

First, you will need to decide which t-test to use – Equal or Unequal Variance, so you will use the F test to determine whether the variances are the same.

A. State the null and alternative hypotheses for testing if there is evidence of a difference in the variability of the ratings between the two locations (F test).

B. What is the value of the F test statistic for testing if there is evidence of a difference in the variabilities of the ratings between the two locations?

• C. Suppose ? = 0.05. Which of the following represents the result of the test on a difference in the variabilities of the ratings between the two locations?

Select one:

a. The alternative hypothesis is rejected.

b. The null hypothesis is rejected.

c. The null hypothesis is not rejected.

d. Insufficient information exists on which to make a decision.

D. So, which t test should you use to compare the means of the restaurant ratings?

Select one:

a. Equal Variance t test

b. Unequal Variance t test

You can use the “data analysis” tab to perform the appropriate t test.

• E. State the null and alternative hypotheses:

1. F. The t statistic is:

• G. The critical value of t is
• H. The p-value of this test is

I. Which of the following represents the correct conclusion?

Select one:

a. There is not enough evidence of a difference in the mean ratings between the two locations.

b. There is enough evidence of a difference in the mean ratings between the two locations.

c. There is not enough evidence that the mean ratings between the two locations are the same.

d. There is enough evidence that the mean ratings for the two locations are the same.