Test the Variances. Assume both populations are normally distributed and the population variances are equal. Ho: o = o HA:0 + o (Claim) si = 10.3, s = 2 %3D ni = 6, n2 = 28 a = 0.10 Round all values to 3 decimal places a. The Critical Value Fo = b. The Test Statistic F = c. Conclusion O Reject the null hypothesis and support the claim O Do not reject the null hypothesis and can not support the claim

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**Test the Variances**  
Assume both populations are normally distributed and the population variances are equal.

\[ H_0: \sigma_1^2 = \sigma_2^2 \]  
\[ H_A: \sigma_1^2 \neq \sigma_2^2 \] (Claim)

\[ s_1^2 = 10.3, \quad s_2^2 = 2 \]

\[ n_1 = 6, \quad n_2 = 28 \]

\[ \alpha = 0.10 \]

**Round all values to 3 decimal places**  

a. The Critical Value \( F_0 = \) [    ]

b. The Test Statistic \( F = \) [    ]

c. Conclusion  
- \( \circ \) Reject the null hypothesis and support the claim.  
- \( \circ \) Do not reject the null hypothesis and cannot support the claim.
Transcribed Image Text:**Test the Variances** Assume both populations are normally distributed and the population variances are equal. \[ H_0: \sigma_1^2 = \sigma_2^2 \] \[ H_A: \sigma_1^2 \neq \sigma_2^2 \] (Claim) \[ s_1^2 = 10.3, \quad s_2^2 = 2 \] \[ n_1 = 6, \quad n_2 = 28 \] \[ \alpha = 0.10 \] **Round all values to 3 decimal places** a. The Critical Value \( F_0 = \) [ ] b. The Test Statistic \( F = \) [ ] c. Conclusion - \( \circ \) Reject the null hypothesis and support the claim. - \( \circ \) Do not reject the null hypothesis and cannot support the claim.
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