For the following claim, find the critical value. Assume that a simple random sample has been selel Claim: The mean IQ score of statistics professors is greater than 118. Sample data: n=21, x= 119, s = 10. The significance level is a = 0.05. Click the icon to view a table of critical t-values. Find the critical value using a t-distribution table. The critical value is (Round to three decimal places as needed.) 5.

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**Finding Critical Values Using a t-Distribution Table**

**Problem Statement:**

For the following claim, find the critical value. Assume that a simple random sample has been selected from a normally distributed population.

- **Claim:** The mean IQ score of statistics professors is greater than 118.
- **Sample data:** n = 21, x̄ = 119, s = 10. The significance level is α = 0.05.

**Instructions:**

1. Click the icon to view a table of critical t-values.

**Task:**

- Find the critical value using a t-distribution table.

**Solution:**

- The critical value is ___ (Round to three decimal places as needed.)

**Explanation:**

To find the critical value:
- Determine the degrees of freedom (df), which is n - 1 = 21 - 1 = 20.
- Look up the critical t-value corresponding to df = 20 at the significance level α = 0.05.
Transcribed Image Text:**Finding Critical Values Using a t-Distribution Table** **Problem Statement:** For the following claim, find the critical value. Assume that a simple random sample has been selected from a normally distributed population. - **Claim:** The mean IQ score of statistics professors is greater than 118. - **Sample data:** n = 21, x̄ = 119, s = 10. The significance level is α = 0.05. **Instructions:** 1. Click the icon to view a table of critical t-values. **Task:** - Find the critical value using a t-distribution table. **Solution:** - The critical value is ___ (Round to three decimal places as needed.) **Explanation:** To find the critical value: - Determine the degrees of freedom (df), which is n - 1 = 21 - 1 = 20. - Look up the critical t-value corresponding to df = 20 at the significance level α = 0.05.
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