You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 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. 41 23 25 33 28 28 29 32 33 35 31 34 30 28 25 25 28 28 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? OA. H₂ = 31 OB. H₂=31 H₂:μ<31 OE. Ho: > 31 OC. Ho: <31 H₂: 231 Ha: μ#31 OD. Ho: 31 OF. Ho: 231 Ha: > 31 Ha: ps31 H₂: H<31 (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 less than the significance level. OB. Reject H, 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. O D. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 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. 41 23 25 33 28 28 29 32 33 35 31 34 30 28 25 25 28 28 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? OA. H₂ = 31 OB. H₂=31 H₂:μ<31 OE. Ho: > 31 OC. Ho: <31 H₂: 231 Ha: μ#31 OD. Ho: 31 OF. Ho: 231 Ha: > 31 Ha: ps31 H₂: H<31 (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 less than the significance level. OB. Reject H, 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. O D. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim.
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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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 31 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.
34
41
23
25
28
33
28
28
29
32
33
35
31
30
25
28
28
25
(a) Write the claim mathematically and identify Ho and Ha
Which of the following correctly states Ho and H₂?
OA. Ho: μ = 31
OB. Ho: H=31
O C. Ho: μ<31
Ha:μ ≥31
Ha: μ#31
Ha: μ<31
OD. Ho: μ≤31
OF. Ho: μ²31
O E. Ho: μ> 31
Ha: μ≤31
Ha: μ> 31
Ha: μ<31
(b) Use technology to find the P-value.
P= (Round to three decimal
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 less than the significance level.
O B. Reject Ho because the P-value is less than the significance level.
O C. Fail to reject Ho because the P-value is greater than the significance level.
O D. Reject Ho because the P-value is greater than the significance level.
(d) Interpret the decision in the context of the original claim.
C
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