a. What is your conclusion using the p-value approach? 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 greater than 0.10 approach. What is the rejection rule for this hypothesis test? Round the critical value Reject Ho if F Select your answer -

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A sample of 16 items from population 1 has a sample variance of 5.4 and a sample of 20 items from population 2 has a sample variance of 2.4. Test the following hypotheses at the 0.05 level of significance.

 

 

A sample of 16 items from population 1 has a sample variance \( s^2_1 = 5.4 \) and a sample of 20 items from population 2 has a sample variance \( s^2_2 = 2.4 \). Test the following hypotheses at the 0.05 level of significance.

\[
H_0: \sigma^2_1 \leq \sigma^2_2
\]
\[
H_a: \sigma^2_1 > \sigma^2_2
\]

a. What is your conclusion using the \( p \)-value approach?

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

[Input Field]

The \( p \)-value is [Dropdown menu with options]:
 - 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

b. Repeat the test using the critical value approach.

What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places.

Reject \( H_0 \) if \( F > \) [Dropdown menu with options]:
 - Select your answer -

What is your conclusion? [Input Field]
Transcribed Image Text:A sample of 16 items from population 1 has a sample variance \( s^2_1 = 5.4 \) and a sample of 20 items from population 2 has a sample variance \( s^2_2 = 2.4 \). Test the following hypotheses at the 0.05 level of significance. \[ H_0: \sigma^2_1 \leq \sigma^2_2 \] \[ H_a: \sigma^2_1 > \sigma^2_2 \] a. What is your conclusion using the \( p \)-value approach? Calculate the value of the test statistic (to 2 decimals). [Input Field] The \( p \)-value is [Dropdown menu with options]: - 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 b. Repeat the test using the critical value approach. What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject \( H_0 \) if \( F > \) [Dropdown menu with options]: - Select your answer - What is your conclusion? [Input Field]
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