Chapter 8.2, Problem 14E

Testing the Difference Between Two Means in Exercises 13–22, (a) identify the claim and state H₀ and H_a, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed.

14. Transactions A magazine daims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown at the left. At α = 0.05, can you support the magazine’s claim? Assume the population variances are equal.

Sample Statistics for Amount Spent by Customers

Burger Stop	Fry World
${\bar{x}}_1\text{ = \$5}\text{.46}$	${\bar{x}}_2\text{ = \$5}\text{.12}$
S1 = $0.89	S2 = $0.79
n1 = 22	n2 = 30

TABLE FOR EXERCISE 14