You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \): - \( H_0: \mu = 65.4 \) - \( H_a: \mu \neq 65.4 \) The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values: - 61.9 - 13 - 43.5 - 34.1 **Questions to Answer:** 1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)** - Test statistic = [Input required] 2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)** - p-value = [Input required] 3. **Determine the p-value condition:** - Is the p-value less than (or equal to) \( \alpha \)? - Is the p-value greater than \( \alpha \)? 4. **Decision Based on Test Statistic:** - Choose to reject the null hypothesis - Choose to accept the null hypothesis

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \):

- \( H_0: \mu = 65.4 \)
- \( H_a: \mu \neq 65.4 \)

The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values:

- 61.9
- 13
- 43.5
- 34.1

**Questions to Answer:**

1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)**

   - Test statistic = [Input required]

2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)**

   - p-value = [Input required]

3. **Determine the p-value condition:**

   - Is the p-value less than (or equal to) \( \alpha \)?
   - Is the p-value greater than \( \alpha \)?

4. **Decision Based on Test Statistic:**

   - Choose to reject the null hypothesis
   - Choose to accept the null hypothesis
Transcribed Image Text:You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \): - \( H_0: \mu = 65.4 \) - \( H_a: \mu \neq 65.4 \) The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values: - 61.9 - 13 - 43.5 - 34.1 **Questions to Answer:** 1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)** - Test statistic = [Input required] 2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)** - p-value = [Input required] 3. **Determine the p-value condition:** - Is the p-value less than (or equal to) \( \alpha \)? - Is the p-value greater than \( \alpha \)? 4. **Decision Based on Test Statistic:** - Choose to reject the null hypothesis - Choose to accept the null hypothesis
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