You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 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 31 29 31 34 43 25 26 320 28 32 33 32 30 25 28 30 24 (a) Write the claim mathematically and identify H, and H. Which of the following correctly states Ho and H,? Ο. H μ 3 O B. Ho: = 33 OC. Họ us 33 Ha u# 33 Ha u< 33 Hại u> 33 O D. Ho < 33 Ο Ε. Ho με 3 OF. Ho: u> 33 Ha 2 33 H u< 33 H us 33 (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 H, because the P-value greater than the significance level. OC. Reject Ho because the P-value is less than the significance level.

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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 33 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
31
29
31
34
43
25
26
320
28
32
33
32
30
25
28
30
24
(a) Write the claim mathematically and identify Ho and Ha
Which of the following correctly states H, and H,?
Ο Β . Ho μ= 3
Ha μ< 33
Ο Α. H : μ= 33
O C. H: με 3
Ha: u# 33
Ha: p> 33
Ο Ε. Hρ: μ2 3
O D. Ho: H<33
Ha με 33
O F. Ho: µ> 33
Ha: us 33
Ha: µ< 33
(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 H, because the P-value is greater than the significance level.
B. Fail to reject H, because the P-value is greater than the significance level.
OC. Reject H, 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 33 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 31 29 31 34 43 25 26 320 28 32 33 32 30 25 28 30 24 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states H, and H,? Ο Β . Ho μ= 3 Ha μ< 33 Ο Α. H : μ= 33 O C. H: με 3 Ha: u# 33 Ha: p> 33 Ο Ε. Hρ: μ2 3 O D. Ho: H<33 Ha με 33 O F. Ho: µ> 33 Ha: us 33 Ha: µ< 33 (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 H, because the P-value is greater than the significance level. B. Fail to reject H, because the P-value is greater than the significance level. OC. Reject H, because the P-value is less than the significance level.
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