Carry out the hypothesis test for the mean of a normally distributed population given the following information: Ho: µ 21.6 Ha: µ #1.6 Sample size = 15, mean = 1.8, variance =25, a = .10

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Carry out the hypothesis test for the mean of a normallly distributed population given the following information: 

ho: p 1.6

ha: p not equal to 1.6

sample size: 15, mean: 1.8, variance: 25, a:.10

## Hypothesis Testing for a Normally Distributed Population Mean

To carry out the hypothesis test for the mean of a normally distributed population, consider the following information:

### Null Hypothesis (Ho)
- \(\mu \geq 1.6\)

### Alternative Hypothesis (Ha)
- \(\mu \neq 1.6\)

### Given Data
- **Sample size:** 15
- **Mean:** 1.8
- **Variance:** 25
- **Level of significance (\(\alpha\)):** 0.10

This setup is used to determine whether the sample mean significantly differs from the hypothesized population mean (\(\mu = 1.6\)) using the provided variance and level of significance.
Transcribed Image Text:## Hypothesis Testing for a Normally Distributed Population Mean To carry out the hypothesis test for the mean of a normally distributed population, consider the following information: ### Null Hypothesis (Ho) - \(\mu \geq 1.6\) ### Alternative Hypothesis (Ha) - \(\mu \neq 1.6\) ### Given Data - **Sample size:** 15 - **Mean:** 1.8 - **Variance:** 25 - **Level of significance (\(\alpha\)):** 0.10 This setup is used to determine whether the sample mean significantly differs from the hypothesized population mean (\(\mu = 1.6\)) using the provided variance and level of significance.
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