Consider the hypothesis test Ho: o² = 02 against H₁ :0² < 2. Suppose that the sample sizes are n₁ = 7 and n₂ = 13 and that s² = 23.0 and s2 = 28.9. Use α = 0.05. (a) Test the hypothesis. Но ✓ rejected. (b) Find a 95% confidence interval on 02/02. Round your answer to two decimal places (e.g. 98.76).

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Consider the hypothesis test \( H_0 : \sigma_1^2 = \sigma_2^2 \) against \( H_1 : \sigma_1^2 < \sigma_2^2 \). Suppose that the sample sizes are \( n_1 = 7 \) and \( n_2 = 13 \) and that \( s_1^2 = 23.0 \) and \( s_2^2 = 28.9 \). Use \(\alpha = 0.05\).

(a) Test the hypothesis.

\( H_0 \) [Dropdown menu] rejected.

(b) Find a 95% confidence interval on \( \sigma_1^2 / \sigma_2^2 \). Round your answer to two decimal places (e.g. 98.76).

\[
\frac{\sigma_1^2}{\sigma_2^2} \geq \text{[Input Box]}
\]
Transcribed Image Text:Consider the hypothesis test \( H_0 : \sigma_1^2 = \sigma_2^2 \) against \( H_1 : \sigma_1^2 < \sigma_2^2 \). Suppose that the sample sizes are \( n_1 = 7 \) and \( n_2 = 13 \) and that \( s_1^2 = 23.0 \) and \( s_2^2 = 28.9 \). Use \(\alpha = 0.05\). (a) Test the hypothesis. \( H_0 \) [Dropdown menu] rejected. (b) Find a 95% confidence interval on \( \sigma_1^2 / \sigma_2^2 \). Round your answer to two decimal places (e.g. 98.76). \[ \frac{\sigma_1^2}{\sigma_2^2} \geq \text{[Input Box]} \]
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