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 below, At g= 0.01, 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 customer transactions for the two fast food restaurants are shown Burger Stop X = $8.65 Fry World X2 = $8.02 S, = $0.77 s2 = $0.75 n = 12 n2 = 10 (a) Identify the claim and state Ho and H. Which is the corect claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." O B. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O C. "The mean amount spent by a customer at Fry World greater than the mean amount spent by a customer at Burger Stop." O P. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." What are Ho and H,? The null hypothesis, Ho, is The alternative hypothesis, H, is Which hypothesis is the claim? O The alternative hypothesis, H The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below.

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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 shoun
below. At g= 0.01, 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
X = $8.65
Fry World
X2 = $8.02
S, = $0.77
S2 = $0.75
n1 = 12
n2 = 10
(a) Identify the claim and state H, and H. Which is the correct claim below?
O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World."
O B. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World."
O C. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."
O D. The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World."
What are Ho and H,?
The null hypothesis, Ho, is
- The alternative hypothesis, H, is
Which hypothesis is the claim?
The alternative hypothesis, Ha
O The null hypothesis, Ho
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(Type an integer or decimal rounded to three decimal places as needed. Use a comma
separate answers as needed.)
Transcribed Image Text: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 shoun below. At g= 0.01, 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 X = $8.65 Fry World X2 = $8.02 S, = $0.77 S2 = $0.75 n1 = 12 n2 = 10 (a) Identify the claim and state H, and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." O B. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O C. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." O D. The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." What are Ho and H,? The null hypothesis, Ho, is - The alternative hypothesis, H, is Which hypothesis is the claim? The alternative hypothesis, Ha O The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma separate answers as needed.)
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
below. At a = 0.01, can you support the magazine's daim? 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
Fry World
X2 = $8.02
Burger Stop
X = $8.65
S1 = $0.77
n = 12
52 = $0.75
n2 = 10
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Select the corect rejection region(s) below.
O A. -6 <t<to
O B. t< -6,t>o
OC. t<-6
O D. t>6
(c) Find the standardized test statistic.
t= (Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
V the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 1% significance level,
enough evidence to support the claim of the magazine that the mean amount spent by customers at Burger World is greater than the mean amount spent by customers at Fry World.
Transcribed Image Text: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 below. At a = 0.01, can you support the magazine's daim? 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 Fry World X2 = $8.02 Burger Stop X = $8.65 S1 = $0.77 n = 12 52 = $0.75 n2 = 10 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the corect rejection region(s) below. O A. -6 <t<to O B. t< -6,t>o OC. t<-6 O D. t>6 (c) Find the standardized test statistic. t= (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. V the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 1% significance level, enough evidence to support the claim of the magazine that the mean amount spent by customers at Burger World is greater than the mean amount spent by customers at Fry World.
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