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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 36 28 25 27 29 35 32 39 31 28 380 22 26 29 24 27 24 30吋 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H₂? ○ A. Ho: μ<31 Нa: μ≥31 ○ D. Ho: μ≥31 Ha: μ < 31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? B. Ho: μ>31 Нa: μ≤31 E. Ho: "=31 Ha: μ <31 A. Fail to reject Ho because the P-value is greater than the significance level. B. Fail to reject Ho because the P-value is less than the significance level. C. Reject Ho because the P-value is greater than the significance level. D. Reject Ho because the P-value is less than the significance level. ○ C. Ho: μ≤31 Нa: μ> 31 OF. Ho: μ=31 Нa: μ31 (d) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. OC. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. D. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students.

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 36 28 25 27 29 35 32 39 31 28 380 22 26 29 24 27 24 30吋 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H₂? ○ A. Ho: μ<31 Нa: μ≥31 ○ D. Ho: μ≥31 Ha: μ < 31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? B. Ho: μ>31 Нa: μ≤31 E. Ho: "=31 Ha: μ <31 A. Fail to reject Ho because the P-value is greater than the significance level. B. Fail to reject Ho because the P-value is less than the significance level. C. Reject Ho because the P-value is greater than the significance level. D. Reject Ho because the P-value is less than the significance level. ○ C. Ho: μ≤31 Нa: μ> 31 OF. Ho: μ=31 Нa: μ31 (d) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. OC. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. D. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 36 28 25 27 29 35 32 39 31 28 380 22 26 29 24 27 24 30吋 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H₂? ○ A. Ho: μ<31 Нa: μ≥31 ○ D. Ho: μ≥31 Ha: μ < 31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? B. Ho: μ>31 Нa: μ≤31 E. Ho: "=31 Ha: μ <31 A. Fail to reject Ho because the P-value is greater than the significance level. B. Fail to reject Ho because the P-value is less than the significance level. C. Reject Ho because the P-value is greater than the significance level. D. Reject Ho because the P-value is less than the significance level. ○ C. Ho: μ≤31 Нa: μ> 31 OF. Ho: μ=31 Нa: μ31
Transcribed Image Text:You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 36 28 25 27 29 35 32 39 31 28 380 22 26 29 24 27 24 30吋 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H₂? ○ A. Ho: μ<31 Нa: μ≥31 ○ D. Ho: μ≥31 Ha: μ < 31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? B. Ho: μ>31 Нa: μ≤31 E. Ho: "=31 Ha: μ <31 A. Fail to reject Ho because the P-value is greater than the significance level. B. Fail to reject Ho because the P-value is less than the significance level. C. Reject Ho because the P-value is greater than the significance level. D. Reject Ho because the P-value is less than the significance level. ○ C. Ho: μ≤31 Нa: μ> 31 OF. Ho: μ=31 Нa: μ31
(d) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. OC. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. D. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students.
Transcribed Image Text:(d) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. OC. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. D. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students.
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