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A data set includes data from student evaluations of courses. The summary statistics are nequals 91​,...

A data set includes data from student evaluations of courses. The summary statistics are nequals 91​, x overbar equals4.17​, sequals 0.69. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25 . Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? A. Upper H 0 ​: mu equals4.25Upper H 1 ​: mu greater than4.25 B. Upper H 0 ​: mu not equals4.25Upper H 1 ​: mu equals4.25 C. Upper H 0 ​: mu equals4.25Upper H 1 ​: mu less than4.25 D. Upper H 0 ​: mu equals4.25Upper H 1 ​: mu not equals4.25 Determine the test statistic. nothing ​(Round to two decimal places as​ needed.) Determine the​ P-value. nothing ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim. ▼ Fail to reject Reject Upper H 0 . There is ▼ not sufficient sufficient evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.25 ▼ is is not correct.

State the conclusion for the test.

A.

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.

B.

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.

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.

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.

b. Construct a confidence interval appropriate for the hypothesis test in part​ (a).

nothing

lbless than

mu 1 minus mu 2less thannothing

lb

​(Round to three decimal places as​ needed.)

Does the confidence interval support the conclusion found with the hypothesis​ test?

No,

Yes,

because the confidence interval contains

0 0
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Answer #1

.2s Decision-Hee-P.Value〉α=о.lo. Conclusion. There is nol 8uthcienl en vidence to uperri the claim thet the cans diel Sodd haeinohe hereA0e the conc usian

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