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 α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 38 31 31 28 28 333 32 34 35 33 35 26 25 38 25 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? OA. Ho: μ≤32 22 27 32 2233 23 26吋 31 28 B. Ho: μ<32 Нa: μ≥32 C. Ho: μ>32 Нa: μ≤32 E. Ho: μ≥32 OF. Ho μ=32 Ha: μ < 32 Нa: μ#32 Нa μ> 32 OD. Ho: μ=32 Нa μ<32 (b) Use technology to find the P-value. P = =☐ (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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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 α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is
normally distributed.
38
31
31
28
28
333
32
34
35
33
35
26
25
38
25
(a) Write the claim mathematically and identify Ho and Ha.
Which of the following correctly states Ho and Ha?
OA. Ho: μ≤32
22
27
32
2233
23
26吋
31
28
B. Ho: μ<32
Нa: μ≥32
C. Ho: μ>32
Нa: μ≤32
E. Ho: μ≥32
OF. Ho μ=32
Ha: μ < 32
Нa: μ#32
Нa μ> 32
OD. Ho: μ=32
Нa μ<32
(b) Use technology to find the P-value.
P =
=☐ (Round to three decimal places as needed.)
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 α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 38 31 31 28 28 333 32 34 35 33 35 26 25 38 25 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? OA. Ho: μ≤32 22 27 32 2233 23 26吋 31 28 B. Ho: μ<32 Нa: μ≥32 C. Ho: μ>32 Нa: μ≤32 E. Ho: μ≥32 OF. Ho μ=32 Ha: μ < 32 Нa: μ#32 Нa μ> 32 OD. Ho: μ=32 Нa μ<32 (b) Use technology to find the P-value. P = =☐ (Round to three decimal places as needed.)
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