A data set includes data from student evaluations of courses. The summary statistics are n=91, x=3.67, s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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? OA. Ho: H=3.75 H,:μ > 3.75 OC. Ho: μ =3.75 H₁: μ<3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is sufficient OB. Ho: *3.75 H₁: p=3.75 evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 not sufficient OD. Ho: H=3.75 H₁: 3.75 correct.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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A data set includes data from student evaluations of courses. The summary statistics are n = 91, x = 3.67, s = 0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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?
O A. Ho: μ =3.75
H₁:μ>3.75
C. Ho: μ = 3.75
H₁:μ<3.75
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
sufficient
B. Ho: μ#3.75
H₁: μ = 3.75
evidence to conclude that the mean of the population of student course evaluations is equal to 3.75
not sufficient
D. Ho: μ = 3.75
H₁: μ#3.75
correct.
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are n = 91, x = 3.67, s = 0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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? O A. Ho: μ =3.75 H₁:μ>3.75 C. Ho: μ = 3.75 H₁:μ<3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is sufficient B. Ho: μ#3.75 H₁: μ = 3.75 evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 not sufficient D. Ho: μ = 3.75 H₁: μ#3.75 correct.
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