# Question: Each of 100 restaurants in a fast food chain is randomly

Each of 100 restaurants in a fast-food chain is randomly assigned one of four media for an advertising campaign: A = radio, B = TV, C = newspaper, D = mailing. For each restaurant, the observation is the change in sales, defined as the difference between the sales for the month during which the advertising campaign took place and the sales in the same month a year ago (in thousands of dollars).

a. By creating indicator variables, write a regression equation for the analysis to compare mean change in sales for the four media.

b. Explain how you could use the regression model to test the null hypothesis of equal population mean change in sales for the four media.

c. The prediction equation is = 35 + 5x1 - 10x2 + 2x3. Estimate the difference in mean change in sales for media

(i) A and D,

(ii) A and B.

a. By creating indicator variables, write a regression equation for the analysis to compare mean change in sales for the four media.

b. Explain how you could use the regression model to test the null hypothesis of equal population mean change in sales for the four media.

c. The prediction equation is = 35 + 5x1 - 10x2 + 2x3. Estimate the difference in mean change in sales for media

(i) A and D,

(ii) A and B.

**View Solution:**## Answer to relevant Questions

Refer to Exercise 14.3 about studying French, with data shown again below. Using software, a. Compare the three pairs of means with separate 95% confidence intervals. Interpret. b. Compare the three pairs of means with Tukey ...In Example 10, the coefficient of the manure-level indicator variable m is 1.96. a. Explain why this coefficient is the estimated difference in mean corn yield between the high and low levels of manure, for each level of ...The results in the table are from a study of physical attractiveness and subjective well-being. A panel rated a sample of college students on their physical attractiveness. The table presents the number of dates in the past ...Refer to the previous exercise. a. Suppose that the first observation in the second group was actually 9, not 1. Then the standard deviations are the same as reported in the table, but the sample means are 6, 7, and 8 rather ...When we use a recent GSS and regress y = number of hours per day watching TV on g = gender (1 = male, 0 = female) and religious affiliation (r1 = 1 for Protestant, r2 = 1 for Catholic, r3 = 1 for Jewish, r1 = r2 = r3 = 0 for ...Post your question