Elsa is using a one-sample 1-test with a sample size of 5 to test the null hypothesis, Ho : u = 9, against the alternative, H : u> 9. She requires her results to be statistically significant at a significance level of a = 0.1. What is the minimum critical value of that rejects this null hypothesis? Give your answer precise to three decimal places.

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Chapter1: Starting With Matlab
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**Transcription for an Educational Website:**

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**One-Sample t-Test Critical Value Calculation**

Elsa is conducting a one-sample t-test with a sample size of 5 to test the null hypothesis, \( H_0 : \mu = 9 \), against the alternative hypothesis, \( H_1 : \mu > 9 \). She requires her results to be statistically significant at a significance level of \(\alpha = 0.1\). What is the minimum critical value of \( t \) that rejects this null hypothesis?

**Calculation Requirement:**

- Give your answer precise to three decimal places.

**Answer Box:**

\[ t = \, \text{\_\_\_\_\_\_\_} \]

--- 

This transcription includes all relevant details needed to understand and solve the problem, with emphasis on hypothesis testing and significance levels critical for educational purposes.
Transcribed Image Text:**Transcription for an Educational Website:** --- **One-Sample t-Test Critical Value Calculation** Elsa is conducting a one-sample t-test with a sample size of 5 to test the null hypothesis, \( H_0 : \mu = 9 \), against the alternative hypothesis, \( H_1 : \mu > 9 \). She requires her results to be statistically significant at a significance level of \(\alpha = 0.1\). What is the minimum critical value of \( t \) that rejects this null hypothesis? **Calculation Requirement:** - Give your answer precise to three decimal places. **Answer Box:** \[ t = \, \text{\_\_\_\_\_\_\_} \] --- This transcription includes all relevant details needed to understand and solve the problem, with emphasis on hypothesis testing and significance levels critical for educational purposes.
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