a. The Critical Value Fo = b. The Test Statistic F C. Conclusion Do not reject the null hypothesis and can not support the claim Reject the null hypothesis and support the claim
a. The Critical Value Fo = b. The Test Statistic F C. Conclusion Do not reject the null hypothesis and can not support the claim Reject the null hypothesis and support the claim
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Test the Variances**
Assume both populations are normally distributed and the population variances are equal.
Null Hypothesis:
\[ H_0: \sigma^2_1 \leq \sigma^2_2 \]
Alternative Hypothesis (Claim):
\[ H_A: \sigma^2_1 > \sigma^2_2 \]
Sample variances and sizes:
\[ s^2_1 = 7.9, \, s^2_2 = 4.1 \]
\[ n_1 = 5, \, n_2 = 14 \]
Significance level:
\[ \alpha = 0.01 \]
**Instructions:**
Round all values to 3 decimal places.
a. Calculate the Critical Value \( F_0 = \_\_\_\_\_\_ \)
b. Calculate the Test Statistic \( F = \_\_\_\_\_\_ \)
c. Conclusion:
- Do not reject the null hypothesis and cannot support the claim
- Reject the null hypothesis and support the claim
**Note:** Make sure to use the appropriate statistical tables or tools to find the critical value and test statistic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86a1608-4622-4bb5-9da8-5fb01306e299%2F74e958ef-0f23-497d-8e86-1f78106807a9%2Floouup_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Test the Variances**
Assume both populations are normally distributed and the population variances are equal.
Null Hypothesis:
\[ H_0: \sigma^2_1 \leq \sigma^2_2 \]
Alternative Hypothesis (Claim):
\[ H_A: \sigma^2_1 > \sigma^2_2 \]
Sample variances and sizes:
\[ s^2_1 = 7.9, \, s^2_2 = 4.1 \]
\[ n_1 = 5, \, n_2 = 14 \]
Significance level:
\[ \alpha = 0.01 \]
**Instructions:**
Round all values to 3 decimal places.
a. Calculate the Critical Value \( F_0 = \_\_\_\_\_\_ \)
b. Calculate the Test Statistic \( F = \_\_\_\_\_\_ \)
c. Conclusion:
- Do not reject the null hypothesis and cannot support the claim
- Reject the null hypothesis and support the claim
**Note:** Make sure to use the appropriate statistical tables or tools to find the critical value and test statistic.
Expert Solution
Step 1
For first sample, n1 = 5, sample variance s12 = 7.9
For second sample, n2 = 14, sample variance s22 = 4.1
Level of significance = 0.01
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Solved in 2 steps
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