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 t 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, ca support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

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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
27
26
35
29
39
25
26
290
28
28
34
30
32
28
29
26
24
(a) Write the claim mathematically and identify Ho and Ha.
Which of the following correctly states Ho and H3?
O A. Ho: H= 31
B. Ho, μs 31
O c. Ho : μ= 3
Ha: H#31
Ha: u> 31
Ha: H<31
O D. Ho: H<31
O E. Ho: H>31
OF. Ho: H231
Ha: u231
Ha: us 31
Ha: µ<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 less than the significance level.
O B. Fail to reject H, because the P-value is greater 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 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 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H<31 O D. Ho: H<31 O E. Ho: H>31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<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 less than the significance level. O B. Fail to reject H, because the P-value is greater than the significance level.
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