A random sample of 104 observations produced a sample mean of 29. Find the critical and observed values of z for the following test of hypothesis using a = 0.1. The population standard deviation is known to be 9 and the population distribution is normal. Ho: µ = 28 versus H1: µ # 28. Round your answers to two decimal places. Zcritical left i ! Zcritical right i Zobserved i II

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A random sample of 104 observations produced a sample mean of 29. Find the critical and observed values of \( z \) for the following test of hypothesis using \( \alpha = 0.1 \). The population standard deviation is known to be 9 and the population distribution is normal.

\( H_0: \mu = 28 \) versus \( H_1: \mu \neq 28 \).

Round your answers to two decimal places.

- \( z_{\text{critical left}} = \) 
- \( z_{\text{critical right}} = \) 
- \( z_{\text{observed}} = \) 

### Explanation:

This text presents a hypothesis testing scenario using a significance level (\( \alpha \)) of 0.1. The null hypothesis (\( H_0 \)) states that the population mean (\( \mu \)) is 28, while the alternative hypothesis (\( H_1 \)) suggests it is not equal to 28. Users are asked to find the critical values and the observed value of \( z \) and round them to two decimal places.
Transcribed Image Text:A random sample of 104 observations produced a sample mean of 29. Find the critical and observed values of \( z \) for the following test of hypothesis using \( \alpha = 0.1 \). The population standard deviation is known to be 9 and the population distribution is normal. \( H_0: \mu = 28 \) versus \( H_1: \mu \neq 28 \). Round your answers to two decimal places. - \( z_{\text{critical left}} = \) - \( z_{\text{critical right}} = \) - \( z_{\text{observed}} = \) ### Explanation: This text presents a hypothesis testing scenario using a significance level (\( \alpha \)) of 0.1. The null hypothesis (\( H_0 \)) states that the population mean (\( \mu \)) is 28, while the alternative hypothesis (\( H_1 \)) suggests it is not equal to 28. Users are asked to find the critical values and the observed value of \( z \) and round them to two decimal places.
A random sample of 114 observations produced a sample mean of 31. Find the critical and observed values of z for the following test of hypothesis using \(\alpha = 0.01\). The population standard deviation is known to be 5 and the population distribution is normal.

\[ H_0: \mu = 28 \text{ versus } H_1: \mu > 28. \]

Round your answers to two decimal places.

- \( z_{\text{critical}} =\) [Input box]
- \( z_{\text{observed}} = 6.41 \)
Transcribed Image Text:A random sample of 114 observations produced a sample mean of 31. Find the critical and observed values of z for the following test of hypothesis using \(\alpha = 0.01\). The population standard deviation is known to be 5 and the population distribution is normal. \[ H_0: \mu = 28 \text{ versus } H_1: \mu > 28. \] Round your answers to two decimal places. - \( z_{\text{critical}} =\) [Input box] - \( z_{\text{observed}} = 6.41 \)
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