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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 26 27 35 33 37 28 23 270 25 31 34 30 32 27 30 28 28 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H,? O B. Ho: H= 31 Ha: u31 O A. Ho: u=31 Ос. Но: и> 31 Ha:us31 HaiH<31 O E. Ho: H<31 Hg:H2 31 OF. Ho: us31 Hạ: u> 31 O D. Ho: H231 Hạ: H<31 (b) Use technology to find the P-value. P=D (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. OC. Reject Ho 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 not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. O B. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. OC. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for D. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for

MATLAB: An Introduction with Applications
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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 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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
34
26
27
35
33
37
28
23
270
25
31
34
30
32
27
30
28
28
(a) Write the claim mathematically and identify Ho and Ha.
Which of the following correctly states Ho and H,?
O A. Ho: H= 31
O B. Ho: H= 31
OC. Ho: H>31
Ha:H<31
Ha: H#31
Ha: us31
O D. Ho: H231
O E. Ho: H<31
O F. Ho: Hs31
Ha: H< 31
Hạ:H231
Ha: 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. Reject Ho because the P-value is greater than the significance level.
O B. Fail to reject Ho because the P-value i
less than the significance level.
OC. Reject Ho 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 not sufficient evidence to support the claim that the mean class size for
full-time faculty is more than 31 students.
O B. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean class size for
full-time faculty is fewer than 31 students.
O C. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for
full-time faculty is more than 31 students.
O D. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for
full-time faculty is fewer than 31 students.
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 a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 26 27 35 33 37 28 23 270 25 31 34 30 32 27 30 28 28 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H,? O A. Ho: H= 31 O B. Ho: H= 31 OC. Ho: H>31 Ha:H<31 Ha: H#31 Ha: us31 O D. Ho: H231 O E. Ho: H<31 O F. Ho: Hs31 Ha: H< 31 Hạ:H231 Ha: 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. Reject Ho because the P-value is greater than the significance level. O B. Fail to reject Ho because the P-value i less than the significance level. OC. Reject Ho 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 not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. O B. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students. O C. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 31 students. O D. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 31 students.
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