Consider the following hypothesis test. Ho : of = o H, : o + o? a. a. What is your conclusion if n1 = 21, s = 8.9, nz = 26, and s = 4. Use a = 0.05 and the p-value approach. %3D %3! Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer Use Table 4 of Appendix B. Select your answer - What is your C less than 0.01 between 0.01 and 0.025 - Select your a between 0.025 and 0.05 between 0.05 and 0.10 b. Repeat the approach. greater than 0.10 What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject Ho if F Select your answer -

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the following hypothesis test.

**Hypothesis Testing Exercise**

Consider the following hypothesis test:

\[
H_0 : \sigma^2_1 = \sigma^2_2
\]
\[
H_a : \sigma^2_1 \neq \sigma^2_2
\]

**a.** What is your conclusion if \(n_1 = 21\), \(s^2_1 = 8.9\), \(n_2 = 26\), and \(s^2_2 = 4\). Use \(\alpha = 0.05\) and the p-value approach.

1. **Calculate the value of the test statistic** (to 2 decimals).

   [Input field]

2. **The p-value is**:

   [Drop-down Menu: - Select your answer -]

   - less than 0.01
   - between 0.01 and 0.025
   - between 0.025 and 0.05
   - between 0.05 and 0.10
   - greater than 0.10

3. **What is your conclusion?**

   [Drop-down Menu: - Select your answer -]

**b.** Repeat the test using the critical value approach.

1. **What is the rejection rule for this hypothesis test?**

   Round the critical values to 2 decimal places.

   Reject \(H_0\) if \( F \) [Drop-down Menu: - Select your answer -] [Input field]
Transcribed Image Text:**Hypothesis Testing Exercise** Consider the following hypothesis test: \[ H_0 : \sigma^2_1 = \sigma^2_2 \] \[ H_a : \sigma^2_1 \neq \sigma^2_2 \] **a.** What is your conclusion if \(n_1 = 21\), \(s^2_1 = 8.9\), \(n_2 = 26\), and \(s^2_2 = 4\). Use \(\alpha = 0.05\) and the p-value approach. 1. **Calculate the value of the test statistic** (to 2 decimals). [Input field] 2. **The p-value is**: [Drop-down Menu: - Select your answer -] - less than 0.01 - between 0.01 and 0.025 - between 0.025 and 0.05 - between 0.05 and 0.10 - greater than 0.10 3. **What is your conclusion?** [Drop-down Menu: - Select your answer -] **b.** Repeat the test using the critical value approach. 1. **What is the rejection rule for this hypothesis test?** Round the critical values to 2 decimal places. Reject \(H_0\) if \( F \) [Drop-down Menu: - Select your answer -] [Input field]
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