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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 = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 O (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states H, and H? O B. Ho: µs11.0 Ha:µ>11.0 O E. Ho: µ>11.0 Hi us11.0 Ο Α. Ho: μ<11.0 H: με 11.0 Ο c. H : μ= 11.0 Ha: u#11.0 O D. Ho: H#11.0 Haiµ =11.0 O F. Ho: µ211.0 Haiu<11.0 (b) Use technology to find the P-value. P= 0.010 (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? O A. Fail to reject H, because the P-value is less than the significance level. O B. Reject H, because the P-value is less than the significance level. OC. Reject H, because the P-value is greater than the significance level. O D. Fail to reject H, because the P-value is greater than the significance level.

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 = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 O (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states H, and H? O B. Ho: µs11.0 Ha:µ>11.0 O E. Ho: µ>11.0 Hi us11.0 Ο Α. Ho: μ<11.0 H: με 11.0 Ο c. H : μ= 11.0 Ha: u#11.0 O D. Ho: H#11.0 Haiµ =11.0 O F. Ho: µ211.0 Haiu<11.0 (b) Use technology to find the P-value. P= 0.010 (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? O A. Fail to reject H, because the P-value is less than the significance level. O B. Reject H, because the P-value is less than the significance level. OC. Reject H, because the P-value is greater than the significance level. O D. Fail to reject H, because the P-value is greater than the significance level.

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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(d) Interpret the decision in the context of the original claim. A. At the 10% 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 11.0. B. At the 10% 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 11.0. C. At the 10% 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. D. At the 10% 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 11.0. (1,1) More
Transcribed Image Text:(d) Interpret the decision in the context of the original claim. A. At the 10% 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 11.0. B. At the 10% 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 11.0. C. At the 10% 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. D. At the 10% 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 11.0. (1,1) More
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 = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 O (a) Write the claim mathematically and identify H, and Ha. Which of the following correctly states H, and H? В. Но: иS11.0 Hạ: u> 11.0 E. Ho: µ>11.0 Ha: us11.0 A. Ho: µ<11.0 Hại u2 11.0 C. Ho: μ= 11.0 Ha: u#11.0 D. H μ#11.0 Hại u=11.0 O F. Ho: µ211.0 Ha: u<11.0 (b) Use technology to find the P-value. P= 0.010 (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? A. Fail to reject H, because the P-value is less than the significance level. O B. Reject H, because the P-value is less than the significance level. C. Reject H, because the P-value is greater than the significance level. D. Fail to reject H, because the P-value is greater than the significance level.
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 = 0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.4 7.1 13.2 7.6 5.9 11.9 12.1 8.4 O (a) Write the claim mathematically and identify H, and Ha. Which of the following correctly states H, and H? В. Но: иS11.0 Hạ: u> 11.0 E. Ho: µ>11.0 Ha: us11.0 A. Ho: µ<11.0 Hại u2 11.0 C. Ho: μ= 11.0 Ha: u#11.0 D. H μ#11.0 Hại u=11.0 O F. Ho: µ211.0 Ha: u<11.0 (b) Use technology to find the P-value. P= 0.010 (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? A. Fail to reject H, because the P-value is less than the significance level. O B. Reject H, because the P-value is less than the significance level. C. Reject H, because the P-value is greater than the significance level. D. Fail to reject H, because the P-value is greater than the significance level.
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