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= 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 31 26 31 34 41 25 24 290 23 27 30 33 30 29 28 30 25 O D. Ho: H< 32 Ha u232 Ε H με32 OF. Ho u>32 Ha us 32 Ha p<32 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.)
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= 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 31 26 31 34 41 25 24 290 23 27 30 33 30 29 28 30 25 O D. Ho: H< 32 Ha u232 Ε H με32 OF. Ho u>32 Ha us 32 Ha p<32 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.)
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
Related questions
Question
![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:
32, 31, 26, 31, 34, 41, 25, 24, 29
27, 33, 30, 29, 28, 30, 30, 25, 23
(a) Choose the correct hypotheses.
- Option D:
- \( H_0: \mu < 32 \)
- \( H_a: \mu \geq 32 \)
- Option E (with check mark indicating selection):
- \( H_0: \mu \geq 32 \)
- \( H_a: \mu < 32 \)
- Option F:
- \( H_0: \mu > 32 \)
- \( H_a: \mu \leq 32 \)
(b) Use technology to find the P-value.
\[ P = \_\_ \] (Round to three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff840fd16-304a-4687-bc6a-eb295e8e37a9%2Fc54fb9fd-e109-4e1e-94df-614f3e4df2fa%2F181mqyh_processed.jpeg&w=3840&q=75)
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:
32, 31, 26, 31, 34, 41, 25, 24, 29
27, 33, 30, 29, 28, 30, 30, 25, 23
(a) Choose the correct hypotheses.
- Option D:
- \( H_0: \mu < 32 \)
- \( H_a: \mu \geq 32 \)
- Option E (with check mark indicating selection):
- \( H_0: \mu \geq 32 \)
- \( H_a: \mu < 32 \)
- Option F:
- \( H_0: \mu > 32 \)
- \( H_a: \mu \leq 32 \)
(b) Use technology to find the P-value.
\[ P = \_\_ \] (Round to three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
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
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning