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. 11.2 7.9 11.1 8.9 4.6 9.9 14.4 8.10 (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states Ho and H,? O A. Ho: H>11.0 O B. Ho: H#11.0 OC. Họi 11.0 Haius11.0 Haiu=11.0 HaiH<11.0 O D. Ho: H=11.0 O E. Ho:H<11.0 OF. Ho: HS11.0 HaiH#11.0 Haiu211.0 Haip>11.0 (b) Use technology to find the P-value. P3D (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. Reject Ho because the P-value is greater than the significance level. O B. Fail to reject Ho because the P-value is less than the significance level. O C. Reject H, because the P-value is less than the significance level. O D. Fail to reject Ho because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. 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. O 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 greater than 11.0. O C. 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. O 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 11.0.
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. 11.2 7.9 11.1 8.9 4.6 9.9 14.4 8.10 (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states Ho and H,? O A. Ho: H>11.0 O B. Ho: H#11.0 OC. Họi 11.0 Haius11.0 Haiu=11.0 HaiH<11.0 O D. Ho: H=11.0 O E. Ho:H<11.0 OF. Ho: HS11.0 HaiH#11.0 Haiu211.0 Haip>11.0 (b) Use technology to find the P-value. P3D (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. Reject Ho because the P-value is greater than the significance level. O B. Fail to reject Ho because the P-value is less than the significance level. O C. Reject H, because the P-value is less than the significance level. O D. Fail to reject Ho because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. 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. O 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 greater than 11.0. O C. 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. O 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 11.0.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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