bu receive a brochure trom a large university The brochure Complete parts (a) through (d) below Assume the po e indicates that the mean cass sre for ful-tme taculty is tewer than 32 students You want to test this dam You randomly seled 18 classes taught by tu-time faculty and determine the class sze of each The results are shown in the table below. Al a010, can you support the university's dam? population is normally distributed 27 31 30 33 34 29 41 24 25 290 23 30 a) Wre the clam mathematically and identity H, and H, hich of the folowtng corecty states H and H,7 DA H ps32 H, 12 OR H p-2 OC H =32 H, - 32 H, p32 OE H pa 32 H -32 OF. H p 32 H, pa 32

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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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

Class Sizes:

| 20 | 27 | 30 | 33 | 26 | 31 | 34 | 41 | 25 | 24 | 29 | 25 | 26 | 30 | 33 | 30 | 29 | 28 | 25 | 30 | 29 | 23 |

(a) Write the claim mathematically and identify \( H_0 \) and \( H_a \).

Which of the following correctly states \( H_0 \) and \( H_a \)?

A. 
\[
H_0: \mu = 32 \\
H_a: \mu > 32
\]

B. 
\[
H_0: \mu = 32 \\
H_a: \mu < 32
\]

C. 
\[
H_0: \mu \neq 32 \\
H_a: \mu = 32
\]

D. 
\[
H_0: \mu = 32 \\
H_a: \mu \neq 32
\]

E. 
\[
H_0: \mu > 32 \\
H_a: \mu = 32
\]

F. 
\[
H_0: \mu < 32 \\
H_a: \mu = 32
\]
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 = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. Class Sizes: | 20 | 27 | 30 | 33 | 26 | 31 | 34 | 41 | 25 | 24 | 29 | 25 | 26 | 30 | 33 | 30 | 29 | 28 | 25 | 30 | 29 | 23 | (a) Write the claim mathematically and identify \( H_0 \) and \( H_a \). Which of the following correctly states \( H_0 \) and \( H_a \)? A. \[ H_0: \mu = 32 \\ H_a: \mu > 32 \] B. \[ H_0: \mu = 32 \\ H_a: \mu < 32 \] C. \[ H_0: \mu \neq 32 \\ H_a: \mu = 32 \] D. \[ H_0: \mu = 32 \\ H_a: \mu \neq 32 \] E. \[ H_0: \mu > 32 \\ H_a: \mu = 32 \] F. \[ H_0: \mu < 32 \\ H_a: \mu = 32 \]
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