Туре Ale IPA N 46 12 174.6 225.5 Sample mean Sample standard deviation 25.5 76.2 a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAS? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test. b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test. a. Determine the hypotheses for this test. Let u, be the population mean calorie count of ales and let u, be the population mean calorie count of IPAS. Choose the correct answer below. OC. Họ: H1 H2 O A. Ho: H1 =H2 Hgi H1 > H2 O D. Ho: H1 ##2 O E. Ho: H1 =P2 O F. Ho: H1 = 42 Find the test statistic for ales - IPAS for this test. t= -0.09 (Round to two decimal places as needed.) Find the p-value for this test. p-value = 0.536 (Round three decimal places as needed.) What is the conclusion for this test?

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Data were collected on calorie content in ales and IPAS and is summarized in the table.
Туре
Ale
IPA
N
46
12
Sample mean
Sample standard deviation
174.6
225.5
25.5
76.2
a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAS? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test.
b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test.
b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value?
The alternative hypothesis would change from µ,
H2 to µ1
H, and the p-value would
Determine the hypotheses for this test.
O A. Ho: H1 # H2
Ha: 41 = H2
В. Но Н -2
Hai H1 <H2
C. Ho: H1 > H2
Ha: H1 =H2
E. Ho: H1 = H2
Ha: H1 # H2
Ho: H1 <H2
Ha: H1 = H2
D. Ho: H1 = H2
F.
Ha: H1> H2
Find the test statistic for ales - IPAS for this test.
t=
(Round to two decimal places as needed.)
Find the p-value for this test.
p-value =
(Round to three decimal places as needed.)
Transcribed Image Text:Data were collected on calorie content in ales and IPAS and is summarized in the table. Туре Ale IPA N 46 12 Sample mean Sample standard deviation 174.6 225.5 25.5 76.2 a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAS? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test. b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test. b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? The alternative hypothesis would change from µ, H2 to µ1 H, and the p-value would Determine the hypotheses for this test. O A. Ho: H1 # H2 Ha: 41 = H2 В. Но Н -2 Hai H1 <H2 C. Ho: H1 > H2 Ha: H1 =H2 E. Ho: H1 = H2 Ha: H1 # H2 Ho: H1 <H2 Ha: H1 = H2 D. Ho: H1 = H2 F. Ha: H1> H2 Find the test statistic for ales - IPAS for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.)
Data were collected on calorie content in ales and IPAS and is summarized in the table.
Туре
Ale
IPA
46
12
Sample mean
Sample standard deviation
174.6
225.5
25.5
76.2
a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAS? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test.
b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test.
a. Determine the hypotheses for this test. Let µ, be the population mean calorie count of ales and let µ, be the population mean calorie count of IPAS. Choose the correct answer below.
A. Ho: H1 = H2
Hai H1> H2
В. Но М Н2
Hai 41 = H2
C. Ho: H1 <H2
Ha: H1 = H2
O D. Ho: H1 # H2
Hai H1 = H2
F. Ho: H1 = H2
Ha: H1 # H2
E. Ho: H1 = H2
Ha: H1 <H2
Find the test statistic for ales - IPAS for this test.
t=
- 0.09 (Round to two decimal places as needed.)
Find the p-value for this test.
p-value = 0.536 (Round to three decimal places as needed.)
What is the conclusion for this test?
Transcribed Image Text:Data were collected on calorie content in ales and IPAS and is summarized in the table. Туре Ale IPA 46 12 Sample mean Sample standard deviation 174.6 225.5 25.5 76.2 a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAS? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test. b. If the test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test. a. Determine the hypotheses for this test. Let µ, be the population mean calorie count of ales and let µ, be the population mean calorie count of IPAS. Choose the correct answer below. A. Ho: H1 = H2 Hai H1> H2 В. Но М Н2 Hai 41 = H2 C. Ho: H1 <H2 Ha: H1 = H2 O D. Ho: H1 # H2 Hai H1 = H2 F. Ho: H1 = H2 Ha: H1 # H2 E. Ho: H1 = H2 Ha: H1 <H2 Find the test statistic for ales - IPAS for this test. t= - 0.09 (Round to two decimal places as needed.) Find the p-value for this test. p-value = 0.536 (Round to three decimal places as needed.) What is the conclusion for this test?
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