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 α = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.Class sizes: 25, 36, 32, 32, 33, 39, 29, 27, 28, 30, 38, 30, 31, 27, 24, 29, 27, 25(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 < 33 $ $ H_a: \mu \geq 33 $ B. $ H_0: \mu = 33 $ $ H_a: \mu \neq 33 $ C. $ H_0: \mu > 33 $ $ H_a: \mu \leq 33 $ D. $ H_0: \mu \leq 33 $ $ H_a: \mu > 33 $ E. $ H_0: \mu \geq 33 $ $ H_a: \mu < 33 $ F. $ H_0: \mu = 33 $ $ H_a: \mu < 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?A. Fail to reject $ H_0 $ because the P-value is less than the significance level. B. Reject $ H_0 $ because the P-value is greater than the significance level. C. Fail to reject $ H_0 $ because the P-value is greater than the significance level. D. Reject $ H_0 $ because the P-value is less than

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Description: 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 th

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ou 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 re ou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 25 30 32 32 31 33 27 29 27 27 30 a) Write the claim mathematically and identify Hg and H, Which of the following correctly states Ho and H,? OB. H = 33 H u33 OC. Ho: u> 33 DA. Hg: <33 H, p2 33 H, us 33 OE. H u2 33 H, u< 33 OF. Ho: = 33 DD. Hg us33 H, p> 33 H, u<33 b) Use technology to find the P-value. (Round to three decimal places as needed.) c) Decide whether to reject or fail to reject the null hypothesis. Vhich of the following is correct?

ou 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 re ou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 25 30 32 32 31 33 27 29 27 27 30 a) Write the claim mathematically and identify Hg and H, Which of the following correctly states Ho and H,? OB. H = 33 H u33 OC. Ho: u> 33 DA. Hg: <33 H, p2 33 H, us 33 OE. H u2 33 H, u< 33 OF. Ho: = 33 DD. Hg us33 H, p> 33 H, u<33 b) Use technology to find the P-value. (Round to three decimal places as needed.) c) Decide whether to reject or fail to reject the null hypothesis. Vhich of the following is correct?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CR

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Question

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

Class sizes: 25, 36, 32, 32, 33, 39, 29, 27, 28, 30, 38, 30, 31, 27, 24, 29, 27, 25

(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 < 33 $
$ H_a: \mu \geq 33 $

B. $ H_0: \mu = 33 $
$ H_a: \mu \neq 33 $

C. $ H_0: \mu > 33 $
$ H_a: \mu \leq 33 $

D. $ H_0: \mu \leq 33 $
$ H_a: \mu > 33 $

E. $ H_0: \mu \geq 33 $
$ H_a: \mu < 33 $

F. $ H_0: \mu = 33 $
$ H_a: \mu < 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?

A. Fail to reject $ H_0 $ because the P-value is less than the significance level.

B. Reject $ H_0 $ because the P-value is greater than the significance level.

C. Fail to reject $ H_0 $ because the P-value is greater than the significance level.

D. Reject $ H_0 $ because the P-value is less than

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