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 a = 0.01, can you support the magazine's claim? Assume t 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 = $11.22 S₁ = $0.79 X₂ = $10.59 $2$0.64 n₂=10 n₁ = 12 (a) Identify the claim and state Ho and H₂. Which is the correct claim below? OA. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." OB. "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 Burger Stop is not equal to the mean amount spent by a customer at Fry World." OD. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." What are Ho and H₂? The null hypothesis, Ho, is The alternative hypothesis, H₂, is ▼ Which hypothesis is the claim? O The null hypothesis, Ho O The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. 0 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. 8A 14-6 OB. 1-6.1 OC. t> OD. -

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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 shown below. At x = 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
Fry World
X₁ = $11.22
X₂ = $10.59
$₁ = $0.79
$2 = $0.64
n₂ = 10
n₁ = 12
(a) Identify the claim and state Ho and H₂. 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."
OB. "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 Burger Stop is not equal to the mean amount spent by a customer at Fry World."
O D. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."
What are Ho and H₂?
The null hypothesis, Ho, is
The alternative hypothesis, Ha, is
Which hypothesis is the claim?
O The null hypothesis, Ho
The alternative hypothesis, Ha
(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 to separate answers as needed.)
Select the correct rejection region(s) below.
OA. t<-to
OB. t<-to. t>to
O C. t>to
OD. -to <t<to
(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.
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 greater than the mean amount spent by customers at Fry World.
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 shown below. At x = 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 Fry World X₁ = $11.22 X₂ = $10.59 $₁ = $0.79 $2 = $0.64 n₂ = 10 n₁ = 12 (a) Identify the claim and state Ho and H₂. 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." OB. "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 Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." What are Ho and H₂? The null hypothesis, Ho, is The alternative hypothesis, Ha, is Which hypothesis is the claim? O The null hypothesis, Ho The alternative hypothesis, Ha (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 to separate answers as needed.) Select the correct rejection region(s) below. OA. t<-to OB. t<-to. t>to O C. t>to OD. -to <t<to (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. 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 greater than the mean amount spent by customers at Fry World.
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