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?

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### 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.*
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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