YOU receve a brochure trom a large university The brochure indicates that the mean dlass size for full-ime taculty is fewer than 31 students You want to test this claim. You randomiy select 18 classes taught by full-time facuty and determine the class size of each The results are shown in the table below. At a 0.05, can yo support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 29 31 32 33 30 32 35 38 24 28 32 23 30 290 23 20 28 (a) Write the daim mathematically and identity H, and H Which of the following corectly states H and H,? OB. H31 OA H p31 Hus 31 OD. Hp<31 H p31 OF H31 OE H31 H31 H31 CHD- (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? OA Reject H, because the P-value is less than the significance level. Which of the following is correct? OA. Reject H, because the P-value is less than the signficance level. B. Fail to reject H, because the P-value is less than the gnificance level. OC. Fail to reject H, because the P-value is greater than the significance level OD. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. OA At the 5% level of significance, there is not sufficient evidence to support OB. At the 5% level of signiicance, there is not suficient evidence to support the claim that the mean class size for full-lime faculty is fower than 31 the claim that the mean class size for tul-me taculty is more than 31 students students OC. Al the 5% level of significance, there is sufficient evidence to support the OD. At the 5% 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. claim that the mean class size for full-time faculty is more than 31 students

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
You receive a brochure trom a targe university. The brochure indicates that the mean dass size for ful-time taculty 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 0.05, can yo
support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
34
29
32
33
30
32
20
35
38
28
23
26
31
28
24
32
30
23
(a) Write the claim mathematically and identity H, and H
Which of the following correctly states H, and H,?
OA. Ho 31
Hus31
O B. H31
<31
OC. H 31
H>31
OD. H<31
OF. H 31
OE H31
Hip#31
H31
CHD
(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?
OA. Rejoct H, because the P-value is less than the significance level.
Which of the following is correct?
O A. Roject H, because the P-value is less than the significance lovel.
B. Fail to reject H, because the P-value is less than the gnificance level.
C. Fail to reject H, because the P-value is greater than the significance level.
OD. Reject H, because the P-value is groater than the significance level.
(d) Interpret the decision in the context of the original claim.
OA At the 5% level of significance, there is not sufficient evidence to support OB. At the 5% levol of significance, there is not suficient evidence to support
the claim that the mean class size for full-tme faculty is fewer than 31
students.
the claim that the mean class size for tull-time taculty is more than 31
students
OC. At the 5% level of significance, there is sufficient evidence to support the O D. Al the 5% level of significanco, there is sufficient evidence to support the
claim that the mean class size for full-time taculty is fower than 31
students.
claim that the mean class size tor ful-time faculty is more than 31
students.
88
Transcribed Image Text:You receive a brochure trom a targe university. The brochure indicates that the mean dass size for ful-time taculty 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 0.05, can yo support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 29 32 33 30 32 20 35 38 28 23 26 31 28 24 32 30 23 (a) Write the claim mathematically and identity H, and H Which of the following correctly states H, and H,? OA. Ho 31 Hus31 O B. H31 <31 OC. H 31 H>31 OD. H<31 OF. H 31 OE H31 Hip#31 H31 CHD (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? OA. Rejoct H, because the P-value is less than the significance level. Which of the following is correct? O A. Roject H, because the P-value is less than the significance lovel. B. Fail to reject H, because the P-value is less than the gnificance level. C. Fail to reject H, because the P-value is greater than the significance level. OD. Reject H, because the P-value is groater than the significance level. (d) Interpret the decision in the context of the original claim. OA At the 5% level of significance, there is not sufficient evidence to support OB. At the 5% levol of significance, there is not suficient evidence to support the claim that the mean class size for full-tme faculty is fewer than 31 students. the claim that the mean class size for tull-time taculty is more than 31 students OC. At the 5% level of significance, there is sufficient evidence to support the O D. Al the 5% level of significanco, there is sufficient evidence to support the claim that the mean class size for full-time taculty is fower than 31 students. claim that the mean class size tor ful-time faculty is more than 31 students. 88
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