Data were collected on calorie content in ales and IPAS and is summarized in the table. Туре Ale IPA N 42 13 Sample mean Sample standard deviation 174.2 25.8 231.2 75.2 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 u1 VP2 to u1 V2 and the p-value would Determine the hypotheses for this test. O A. Ho: H1 * 42 O B. Ho: H1 "2 OC. Họ: H1 =H2 O D. Ho: H1>P2 O E. Ho: H1 <2 OF. Ho: H1 =42 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.)

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Data were collected on calorie content in ales and IPAS and is summarized in the table.
Туре
Ale
IPA
N
42
13
Sample mean
Sample standard deviation
174.2
231.2
25.8
75.2
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 u1
H2 to µ1
P2 and the p-value would
Determine the hypotheses for this test.
O A. Ho: H1 #µ2
O B. Ho: H1 =H2
Hạ: H1 #H2
OC. Ho: H1 = H2
Ha: H1 <H2
Ha: H1 = H2
O D. Ho: H1> H2
Ha: H1 = H2
OF. Ho: H1 = H2
Ha: H1> H2
O E. Ho: H1 <H2
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.)
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 N 42 13 Sample mean Sample standard deviation 174.2 231.2 25.8 75.2 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 u1 H2 to µ1 P2 and the p-value would Determine the hypotheses for this test. O A. Ho: H1 #µ2 O B. Ho: H1 =H2 Hạ: H1 #H2 OC. Ho: H1 = H2 Ha: H1 <H2 Ha: H1 = H2 O D. Ho: H1> H2 Ha: H1 = H2 OF. Ho: H1 = H2 Ha: H1> H2 O E. Ho: H1 <H2 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.) What is the conclusion for this test?
Data were collected on calorie content in ales and IPAS and i
summarized in the table.
Туре
Ale
IPA
N
42
13
Sample mean
Sample standard deviation
174.2
231.2
25.8
75.2
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.
OC. Ho: H1 > 42
O A. Ho: H1 <H2
Ha: H1 = H2
O B. Ho: H1 = 42
Ha: H1 <H2
Ha: H1 = H2
O D. Ho: H1 = H2
Ha: H1> H2
O E. Ho: H1 + H2
Ha: H1 = H2
O F. Ho: H1 = H2
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.)
What is the conclusion for this test?
O A. Do not reject Ho. There is insufficient evidence to conclude that the calorie count of ales is significantly different than the calorie count of IPAS.
O B. Reject Ho. There is sufficient evidence to conclude that the calorie count of ales is significantly different than the calorie count of IPAS.
OC. Reject Ho. There is sufficient evidence to conclude that the calorie count of ales is not significantly different than the calorie count of IPAS.
O D. Do not reject Ho. There is insufficient evidence to conclude that the calorie count of ales is not significantly different than the calorie count of IPAS.
Transcribed Image Text:Data were collected on calorie content in ales and IPAS and i summarized in the table. Туре Ale IPA N 42 13 Sample mean Sample standard deviation 174.2 231.2 25.8 75.2 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. OC. Ho: H1 > 42 O A. Ho: H1 <H2 Ha: H1 = H2 O B. Ho: H1 = 42 Ha: H1 <H2 Ha: H1 = H2 O D. Ho: H1 = H2 Ha: H1> H2 O E. Ho: H1 + H2 Ha: H1 = H2 O F. Ho: H1 = H2 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.) What is the conclusion for this test? O A. Do not reject Ho. There is insufficient evidence to conclude that the calorie count of ales is significantly different than the calorie count of IPAS. O B. Reject Ho. There is sufficient evidence to conclude that the calorie count of ales is significantly different than the calorie count of IPAS. OC. Reject Ho. There is sufficient evidence to conclude that the calorie count of ales is not significantly different than the calorie count of IPAS. O D. Do not reject Ho. There is insufficient evidence to conclude that the calorie count of ales is not significantly different than the calorie count of IPAS.
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