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The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. 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 a = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed OA. Ho H<11.0 Ha: 211.0 10.8 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? OD. Ho: 11.0 Ha μ=11.0 8.4 (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? 13.6 OB. Ho >11.0 Ha u≤11.0 E. Ho H≤ 11.0 Ha H110 OA. Reject Ho because the P-value is less than the significance level. OB. Fail to reject Ho because the P-value is less than the significance level. OC. Fail to reject Ho because the P-value is greater than the significance level. OD. Reject Ho because the P-value is greater than the significance level. 6.9 5.4 11.7 OC. Ho H211.0 Ha H<11.0 OF. Ho H=11.0 H₂ 11.0 14.6 8.80

The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. 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 a = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed OA. Ho H<11.0 Ha: 211.0 10.8 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? OD. Ho: 11.0 Ha μ=11.0 8.4 (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? 13.6 OB. Ho >11.0 Ha u≤11.0 E. Ho H≤ 11.0 Ha H110 OA. Reject Ho because the P-value is less than the significance level. OB. Fail to reject Ho because the P-value is less than the significance level. OC. Fail to reject Ho because the P-value is greater than the significance level. OD. Reject Ho because the P-value is greater than the significance level. 6.9 5.4 11.7 OC. Ho H211.0 Ha H<11.0 OF. Ho H=11.0 H₂ 11.0 14.6 8.80

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
Section10.4: Distributions Of Data
Problem 19PFA
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The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. 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 a = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. O A. Ho <11.0 Hg με 11.0 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? O D. Ho: 11.0 H₂ μ=11.0 10.8 (b) Use technology to find the P-value. 8.4 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? 13.6 OB. Ho >11.0 Hg με 11.0 E. Ho ≤ 11.0 Ha >11.0 O A. Reject Ho because the P-value is less than the significance level. O B. Fail to reject Ho because the P-value is less than the significance level. OC. Fail to reject Ho because the P-value is greater than the significance level. OD. Reject Ho because the P-value is greater than the significance level. 6.9 5.4 11.7 OC. Ho H≥ 11.0 Ha μ< 11.0 OF. Ho H=11.0 Ha μ#11.0 14.6 8.80
Transcribed Image Text:The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. 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 a = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. O A. Ho <11.0 Hg με 11.0 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? O D. Ho: 11.0 H₂ μ=11.0 10.8 (b) Use technology to find the P-value. 8.4 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? 13.6 OB. Ho >11.0 Hg με 11.0 E. Ho ≤ 11.0 Ha >11.0 O A. Reject Ho because the P-value is less than the significance level. O B. Fail to reject Ho because the P-value is less than the significance level. OC. Fail to reject Ho because the P-value is greater than the significance level. OD. Reject Ho because the P-value is greater than the significance level. 6.9 5.4 11.7 OC. Ho H≥ 11.0 Ha μ< 11.0 OF. Ho H=11.0 Ha μ#11.0 14.6 8.80
(d) Interpret the decision in the context of the original claim. OA. 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 11.0. OC. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean D. At the 5% level of significance, there is sufficient evidence to reject the claim tha number of classroom hours per week for full-time faculty is less than 11.0. number of classroom hours per week for full-time faculty is 11.0. OB. At the 5% level of significance, there is not sufficient evidence to reject the claim number of classroom hours per week for full-time faculty is 11.0. Time Romaining 04
Transcribed Image Text:(d) Interpret the decision in the context of the original claim. OA. 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 11.0. OC. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean D. At the 5% level of significance, there is sufficient evidence to reject the claim tha number of classroom hours per week for full-time faculty is less than 11.0. number of classroom hours per week for full-time faculty is 11.0. OB. At the 5% level of significance, there is not sufficient evidence to reject the claim number of classroom hours per week for full-time faculty is 11.0. Time Romaining 04
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