Consider the following hypothesis test. Ho: μ ≥ 20 H₂: # < 20 A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.48 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.0067 (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 20. Reject Ho. There is insufficient evidence to conclude that μ< 20. Do not reject Ho. There is sufficient evidence to conclude that µ < 20. Do not reject Ho. There is insufficient evidence to conclude that μ< 20.
Consider the following hypothesis test. Ho: μ ≥ 20 H₂: # < 20 A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.48 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.0067 (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 20. Reject Ho. There is insufficient evidence to conclude that μ< 20. Do not reject Ho. There is sufficient evidence to conclude that µ < 20. Do not reject Ho. There is insufficient evidence to conclude that μ< 20.
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 6CR
Related questions
Question
![You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ho: μ ≥ 20
H₂: H <20
A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2.
(a) Find the value of the test statistic, (Round your answer to two decimal places.)
-2.48
(b) Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0067
(c) Using a = 0.05, state your conclusion.
Reject Ho. There is sufficient evidence to conclude that μ< 20.
Reject Ho. There is insufficient evidence to conclude that μ < 20.
Do not reject Ho. There is sufficient evidence to conclude that μ< 20.
Do not reject Ho. There is insufficient evidence to conclude that μ< 20.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3194c964-ded2-4c68-a655-199d3f3d1172%2F09a2ad18-efa5-4845-a37e-9b6561235868%2F8d97asb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ho: μ ≥ 20
H₂: H <20
A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2.
(a) Find the value of the test statistic, (Round your answer to two decimal places.)
-2.48
(b) Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0067
(c) Using a = 0.05, state your conclusion.
Reject Ho. There is sufficient evidence to conclude that μ< 20.
Reject Ho. There is insufficient evidence to conclude that μ < 20.
Do not reject Ho. There is sufficient evidence to conclude that μ< 20.
Do not reject Ho. There is insufficient evidence to conclude that μ< 20.
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