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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 35 26 32 0 29 30 30 42 27 28 30 30 39 33 29 27 32 31 27 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H? O B. Ho: u= 32 Hgiu< 32 O E. Ho: u= 32 H:u*32 OC. Ho: u> 32 Hai us32 OF. Ho: u<32 O A. Ho: us32 Ha:u> 32 OD. Ho: u2 32 Haiu< 32 H: u2 32 (b) Use technology to find the P-value P= (Round to three decimal places as needed.) %3D (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? A. Reject H, because the P-value is less than the significance level. B. Reject H, because the P-value is greater than the significance level. OC. Fail to reject H, because the P-value is greater than the significance level. O D. Fail to reject H, because the P-value is less than the significance level. ికి

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
35
26
29
30
30
42
27
28
32
30
30
39
33
29
27
32
31
27
.....
(a) Write the claim mathematically and identify H, and Ha.
Which of the following correctly states Ho and H,?
A. Ho:µs 32
Ha: µ> 32
О В. Но: и-32
Ha: µ< 32
Ос. Но: и> 32
Hai us 32
Ο D . H : μ2 32
Ha: µ< 32
F. Ho: H< 32
Ha: µ2 32
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?
A. Reject Ho because the P-value is less than the significance level.
B. Reject H, because the P-value is greater than the significance level.
O C. Fail to reject H, because the P-value is greater than the significance level.
O D. Fail to reject Ho because the P-value is less than the significance level.
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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 35 26 29 30 30 42 27 28 32 30 30 39 33 29 27 32 31 27 ..... (a) Write the claim mathematically and identify H, and Ha. Which of the following correctly states Ho and H,? A. Ho:µs 32 Ha: µ> 32 О В. Но: и-32 Ha: µ< 32 Ос. Но: и> 32 Hai us 32 Ο D . H : μ2 32 Ha: µ< 32 F. Ho: H< 32 Ha: µ2 32 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? A. Reject Ho because the P-value is less than the significance level. B. Reject H, because the P-value is greater than the significance level. O C. Fail to reject H, because the P-value is greater than the significance level. O D. Fail to reject Ho because the P-value is less than the significance level.
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