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A data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 4.08, s = 0.65. Use a 0.05 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 data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 4.08, s = 0.65. Use a 0.05 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?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 4.08, s = 0.65. Use a 0.05 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. Ho: μ = 4.25 H₁:μ#4.25 C. Ho: μ = 4.25 H₁:μ>4.25 Determine the test statistic. (Round to two decimal places as needed.) B. Ho: μ = 4.25 Hy:μ<4.25 D. Ho: μ#4.25 H₁: μ = 4.25 Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is student course evaluations is equal to 4.25 evidence to conclude that the mean of the population of ▼correct.
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 4.08, s = 0.65. Use a 0.05 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. Ho: μ = 4.25 H₁:μ#4.25 C. Ho: μ = 4.25 H₁:μ>4.25 Determine the test statistic. (Round to two decimal places as needed.) B. Ho: μ = 4.25 Hy:μ<4.25 D. Ho: μ#4.25 H₁: μ = 4.25 Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is student course evaluations is equal to 4.25 evidence to conclude that the mean of the population of ▼correct.
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