(Please provide a breakdown and describe/show step by step details on how you arrived the answers so I can learn - thanks)

QUESTION: The Chili's Restaurant chain wants to test if their "Meal For Two" program increases customer traffic enough to support the cost of the program. For each of 15 stores, one day is selected at random to record customer traffic with the program in effect, and one day is selected at random to record customer traffic with program not in effect. The results of the experiment are documented in DATA: Customer Traffic (see below 2 columns: "With Program" and "Without Program"). For each store, compute difference = traffic with program minus traffic without program. At (alpha) = 0.05, test the hypothesis that the mean difference is at most 0 (at best the program makes no difference, or worse it decreases traffic) against the alternative that the mean difference > 0 (the program increases traffic).

(Note: Is this paired data (dependent on the unit of observation), or data from independent populations?)

A) None of the answers are correct.

B) The p-value of 0.221 indicates that the data provide insignificant evidence against (null) H0. (Null) H0 is not rejected at (alpha) = 0.05. You decide to conclude the study and not to recommend the program.

C) The p-value of 0.002 provides overwhelming evidence against (null) H0. (Null) H0 is rejected

at (alpha) = 0.05. You decide that the program results in increased customer traffic, overall, and recommend the program be implemented.

D) The p-value of 0.084 provides weak evidence (null) H0. (Null) H0 is not rejected at (alpha) = 0.05. You decide the evidence is not strong enough to recommend further evaluation of the program.

E) The p-value rejects (Null) H0: Mean difference > 0

F) The p-value of 0.033 provides strong evidence against (Null) H0: (Null) H0 is rejected at (alpha) = 0.05. You decide to recommend further evaluation of the program.

DATA: Customer Traffic

With Program Without Program

136 140

228 233

111 110

38 42

332 332

132 135

150 151

35 33

189 178

141 147

175 162

253 243

144 149

49 48

356 34