help solve attached, and following parts pertaining to attached image, all parts please. find test statisitic t find p value State the conclusion for the test. A. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. Your answer is not correct.   B.Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.   C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.   D.Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.   b. Construct a confidence interval appropriate for the hypothesis test in part​ (a). _____ lb<μ1−μ2< ____lb   final part*     Does the confidence interval support the conclusion found with the hypothesis​ test? Yes or no, because the confidence interval contains zero or only negative values or only positive values.

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help solve attached, and following parts pertaining to attached image, all parts please.

find test statisitic t

find p value

State the conclusion for the test.
A. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
Your answer is not correct.
 
B.Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
 
C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
 
D.Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.
 
b. Construct a confidence interval appropriate for the hypothesis test in part​ (a).
_____ lb<μ1−μ2< ____lb
 
final part*
 
 
Does the confidence interval support the conclusion found with the hypothesis​ test?
Yes or no, because the confidence interval contains zero or only negative values or only positive values.
A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and
do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
Proctored Nonproctored
H1
H2
31
33
76.53
84.45
S
11.96
19.23
a. Use a 0.01 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
What are the null and alternative hypotheses?
A. Ho: H1 =
H1: H1 <H2
B. Ho: H1 = H2
H1: 41 # H2
H2
O C. Ho: H1 # H2
H1: H1 <H2
D. Ho: H1 = H2
H1: H1 > H2
The test statistic, t, is
(Round to two decimal places as needed.)
Transcribed Image Text:A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Proctored Nonproctored H1 H2 31 33 76.53 84.45 S 11.96 19.23 a. Use a 0.01 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? A. Ho: H1 = H1: H1 <H2 B. Ho: H1 = H2 H1: 41 # H2 H2 O C. Ho: H1 # H2 H1: H1 <H2 D. Ho: H1 = H2 H1: H1 > H2 The test statistic, t, is (Round to two decimal places as needed.)
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