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 α=0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.6 7.3 12.9 8.9 5.9 10.6 14.3 9.2 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0:μ=11.0 Ha:μ≠11.0 B. H0:μ≥11.0 Ha:μ<11.0 C. H0:μ<11.0 Ha:μ≥11.0 D. H0:μ≤11.0 Ha:μ>11.0 E. H0:μ>11.0 Ha:μ≤11.0 F. H0:μ≠11.0 Ha:μ=11.0 (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? A.Fail to reject H0 because the P-value is greater thanthe significance level. B. Reject H0 because the P-value is greater than the significance level. C. Reject H0 because the P-value is less than the significance level. D. Fail to reject H0 because the P-value is less than the significance level. d) Interpret the decision in the context of the original claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Question

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

α=0.01,

can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

11.6

7.3

12.9

8.9

5.9

10.6

14.3

9.2

(a) Write the claim mathematically and identify

and

Ha.

Which of the following correctly states

H0 and Ha?

H0:μ=11.0

Ha:μ≠11.0

H0:μ≥11.0

Ha:μ<11.0

H0:μ<11.0

Ha:μ≥11.0

H0:μ≤11.0

Ha:μ>11.0

H0:μ>11.0

Ha:μ≤11.0

H0:μ≠11.0

Ha:μ=11.0

(b) Use technology to find the P-value.

(Round to three decimal places as needed.)

Which of the following is correct?

A.Fail to reject H0 because the P-value is greater thanthe significance level.

B. Reject H0 because the P-value is greater than the significance level.

C. Reject H0 because the P-value is less than the significance level.

Fail to reject H0 because the P-value is less than the significance level.

d) Interpret the decision in the context of the original claim.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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