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dean lates that the classroom hours per wee Taculty 12.0. As a member the student council, you want test this A random sample of the number of classroo University ours for eight full-time faculty for one week is shown in the table below. At a = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.7 8.5 13.5 8.7 7.8 11.8 12.4 8.90 C ) Write the claim mathematically and identify Ho and H₂- hich of the following correctly states Ho and H₂? OA. Ho: μ> 12.0 OB. Ho: 12.0 OC. Ho: ≤ 12.0 H₂:p> 12.0 H₂:μ≤ 12.0 H₂ = 12.0 OF. Ho: μ< 12.0 O D. Ho: ² 12.0 H₂:μ<12.0 O E. Ho: μ = 12.0 H₂: μ#12.0 Hg με 12.0 -) Use technology to find the P-value. = (Round to three decimal places as needed.) ) Decide whether to reject or fail to reject the null hypothesis.

dean lates that the classroom hours per wee Taculty 12.0. As a member the student council, you want test this A random sample of the number of classroo University ours for eight full-time faculty for one week is shown in the table below. At a = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.7 8.5 13.5 8.7 7.8 11.8 12.4 8.90 C ) Write the claim mathematically and identify Ho and H₂- hich of the following correctly states Ho and H₂? OA. Ho: μ> 12.0 OB. Ho: 12.0 OC. Ho: ≤ 12.0 H₂:p> 12.0 H₂:μ≤ 12.0 H₂ = 12.0 OF. Ho: μ< 12.0 O D. Ho: ² 12.0 H₂:μ<12.0 O E. Ho: μ = 12.0 H₂: μ#12.0 Hg με 12.0 -) Use technology to find the P-value. = (Round to three decimal places as needed.) ) Decide whether to reject or fail to reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 12.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At x = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 7.8 8.90 12.7 8.5 13.5 8.7 11.8 12.4 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? O B. Ho: μ# 12.0 O A. Ho: μ> 12.0 H₂:μ≤ 12.0 H₂: H = 12.0 OC. Ho: μ≤ 12.0 H₂:μ> 12.0 O E. Ho: μ= 12.0 OD. Ho: μ2 12.0 Hg:μ <12.0 OF. Ho: μ< 12.0 H₂: μ# 12.0 Η με 12.0 (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?
Transcribed Image Text:The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 12.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At x = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 7.8 8.90 12.7 8.5 13.5 8.7 11.8 12.4 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? O B. Ho: μ# 12.0 O A. Ho: μ> 12.0 H₂:μ≤ 12.0 H₂: H = 12.0 OC. Ho: μ≤ 12.0 H₂:μ> 12.0 O E. Ho: μ= 12.0 OD. Ho: μ2 12.0 Hg:μ <12.0 OF. Ho: μ< 12.0 H₂: μ# 12.0 Η με 12.0 (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?
Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. O C. Fail to reject Ho because the P-value is greater than the significance level. Reject Ho because the P-value is greater than the significance level. O D. Reject Ho because the P-value is less than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 12.0. O C. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is less than 12.0. O B. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 12.0. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 12.0.
Transcribed Image Text:Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. O C. Fail to reject Ho because the P-value is greater than the significance level. Reject Ho because the P-value is greater than the significance level. O D. Reject Ho because the P-value is less than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 12.0. O C. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is less than 12.0. O B. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 12.0. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is 12.0.
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