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 a = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 35 30 29 30 35 40 27 27 270 31 30 39 35 31 29 30 27 22 ...... P = 0.135 (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. Fail to reject H, because the P-value is less than the significance level. O B. Reject Ho because the P-value is greater than the significance level. O C. Reject Ho because the P-value is less than the significance level. D. Fail to reject Ho because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 O B. At the 1% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. students. O C. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 O D. At the 1% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. students.
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 a = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 35 30 29 30 35 40 27 27 270 31 30 39 35 31 29 30 27 22 ...... P = 0.135 (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. Fail to reject H, because the P-value is less than the significance level. O B. Reject Ho because the P-value is greater than the significance level. O C. Reject Ho because the P-value is less than the significance level. D. Fail to reject Ho because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 O B. At the 1% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. students. O C. At the 1% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 O D. At the 1% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. students.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 25PFA
Related questions
Topic Video
Question
Can you please check my work
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 a = 0.01, can you
support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
35
30
29
30
35
40
27
27
270
31
30
39
35
31
29
30
27
22
.....
P = 0.135 (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. Fail to reject Ho because the P-value is less than the significance level.
O B. Reject Ho because the P-value is greater than the significance level.
O C. Reject Ho because the P-value is less than the significance level.
D. Fail to reject Ho because the P-value is greater than the significance level.
(d) Interpret the decision in the context of the original claim.
O A. At the 1% level of significance, there is sufficient evidence to support the
claim that the mean class size for full-time faculty is more than 32
students.
O B. At the 1% level of significance, there is not sufficient evidence to support
the claim that the mean class size for full-time faculty is more than 32
students.
O C. At the 1% level of significance, there is sufficient evidence to support the
claim that the mean class size for full-time faculty is fewer than 32
students.
D. At the 1% level of significance, there is not sufficient evidence to support
the claim that the mean class size for full-time faculty is fewer than 32
students.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,