You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 38 29 O D. Ho: μ =32 Ha:μ<32 28 28 P= 31 33 Which of the following correctly states Ho and H₂? Ο Α. Ho:μ 32 Ha:μ>32 (b) Use technology to find the P-value. 30 32 29 26 OB. Ho:μ ≥32 Ha:μ<32 O E. Ho: μ< 32 Ha:μ ≥32 (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? 43 25 25 30 24 29 OC. Ho: μ =32 Ha:μ#32 OF. Ho:μ> 32 Ha:μ≤32 30 27 A. Fail to reject Ho because the P-value is greater than the significance level. B. Reject Ho because the P-value is less than the significance level. O C. Fail to reject Ho because the P-value is less than the significance level. OD. Reject H 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 1% level of significance, there is not sufficient O B. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. size for full-time faculty is fewer than 32 students. O C. At the 1% level of significance, there is not sufficient O D. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class evidence to support the claim that the mean class size for full-time faculty is more than 32 students. size for full-time faculty is more than 32 students.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 38 29 O D. Ho: μ =32 Ha:μ<32 28 28 P= 31 33 Which of the following correctly states Ho and H₂? Ο Α. Ho:μ 32 Ha:μ>32 (b) Use technology to find the P-value. 30 32 29 26 OB. Ho:μ ≥32 Ha:μ<32 O E. Ho: μ< 32 Ha:μ ≥32 (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? 43 25 25 30 24 29 OC. Ho: μ =32 Ha:μ#32 OF. Ho:μ> 32 Ha:μ≤32 30 27 A. Fail to reject Ho because the P-value is greater than the significance level. B. Reject Ho because the P-value is less than the significance level. O C. Fail to reject Ho because the P-value is less than the significance level. OD. Reject H 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 1% level of significance, there is not sufficient O B. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. size for full-time faculty is fewer than 32 students. O C. At the 1% level of significance, there is not sufficient O D. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class evidence to support the claim that the mean class size for full-time faculty is more than 32 students. size for full-time faculty is more than 32 students.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Statistics Question 11
Transcribed Image Text:You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer
than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the
class size of each. The results are shown in the table below. At a = 0.01, can you support the university's claim? Complete
parts (a) through (d) below. Assume the population is normally distributed.
38
29
28
28
D. Ho: μ =32
Ha:μ< 32
31
33
30
32
Which of the following correctly states Ho and H₂?
O A. Ho:μ≤32
Ha:μ>32
29
26
OB. Ho: μ ≥32
Ha:μ<32
O E. Ho: μ< 32
Ha:μ ≥32
(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?
O A. Fail to reject Ho because the P-value is greater than the significance level.
OB. Reject Ho because the P-value is less than the significance level.
O C. Fail to reject Ho because the P-value is less than the significance level.
O D. Reject because the P-value is greater than the significance level.
(d) Interpret the decision in the context of the original claim.
43
25
O A. At the 1% level of significance, there is not sufficient
evidence to support the claim that the mean class
size for full-time faculty is fewer than 32 students.
25
30
24
29
O C. Ho: μ = 32
Ha: μ#32
OF. Ho: μ> 32
Ha:μ≤32
30
27
B. At the 1% level of significance, there is sufficient
evidence to support the claim that the mean class
size for full-time faculty is fewer than 32 students.
O C. At the 1% level of significance, there is not sufficient O D. At the 1% level of significance, there is sufficient
evidence to support the claim that the mean class
evidence to support the claim that the mean class
size for full-time faculty is more than 32 students.
size for full-time faculty is more than 32 students.
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