A magazine claims 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 below. At α=0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.
Burger Stop
Fry World
x1 = $9.39
x2 = $8.76
s1 = $0.79
s2 = $0.73
n1 = 17
n2 = 8
(a) Identify the claim and state H0 and Ha. Which is the correct claim below?
A. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World."
B. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World."
C. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."
D. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World."
What are H0 and Ha?
The null hypothesis, H0, is μ1 = μ2.
The alternative hypothesis, Ha, is μ1 > μ2.
Which hypothesis is the claim?
The alternative hypothesis, Ha.
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
Nothing
Select the correct rejection region(s) below.
A. t < -t0, t > t0
B. -t0 < t < t0
C. t < -t0
D. t > t0
(c) Find the standardized test statistic.
t = Nothing
(d) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 10% significance level, there is not enough evidence to support the claim of the magazine that the mean amount spent by customers at Burger Stop is greater than the mean amount spent by customers at Fry World.