73 71 71 e to say that the mean height for young men at the university is larger and alternative hypotheses. usion for the hypothesis test?
73 71 71 e to say that the mean height for young men at the university is larger and alternative hypotheses. usion for the hypothesis test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Hypothesis Testing for Mean Height
The heights of young men are approximately normally distributed, with a mean of 69.7 inches. A random sample of heights from young men at a large university in the Midwest are listed below (in inches):
74, 64, 71, 76, 67, 77, 68, 69, 73, 71, 71
#### Research Question
Is there sufficient evidence to say that the mean height for young men at the university is larger than the average?
#### Hypotheses
State the appropriate null and alternative hypotheses.
- \( H_0 \) (Null Hypothesis):
\[ \mu \leq 69.7 \]
- \( H_a \) (Alternative Hypothesis):
\[ \mu > 69.7 \]
#### Conclusion
What is the correct conclusion for the hypothesis test?
[Here you would typically conduct the hypothesis test by calculating the test statistic and comparing it to a critical value or calculating the p-value to reach a conclusion based on a given significance level, typically \(\alpha = 0.05\).]
*Note: Fill in the squares and blank at the end with the appropriate values according to the results you obtain.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9870bfeb-e26e-42f8-8342-bb7dac6347ce%2F6cb60709-8d1c-46e4-9324-76002312033b%2Fqq7sxam_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing for Mean Height
The heights of young men are approximately normally distributed, with a mean of 69.7 inches. A random sample of heights from young men at a large university in the Midwest are listed below (in inches):
74, 64, 71, 76, 67, 77, 68, 69, 73, 71, 71
#### Research Question
Is there sufficient evidence to say that the mean height for young men at the university is larger than the average?
#### Hypotheses
State the appropriate null and alternative hypotheses.
- \( H_0 \) (Null Hypothesis):
\[ \mu \leq 69.7 \]
- \( H_a \) (Alternative Hypothesis):
\[ \mu > 69.7 \]
#### Conclusion
What is the correct conclusion for the hypothesis test?
[Here you would typically conduct the hypothesis test by calculating the test statistic and comparing it to a critical value or calculating the p-value to reach a conclusion based on a given significance level, typically \(\alpha = 0.05\).]
*Note: Fill in the squares and blank at the end with the appropriate values according to the results you obtain.*
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