se a x-test to test the claim o <45 at the a = 0.05 significance level using sample statistics s = 45.8 and n = 19 %3D lentify the null and alternative hypotheses. O B. Ho: o<45 O A. Ho: o545 Ha:o>45 Ha: 0245 OC. Ho: o>45 D. Ho: o245 Ha:o545 Ha: o<45 dentify the test statistic.

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### Chi-Squared Test for Variance

Use a \(\chi^2\)-test to test the claim \( \sigma < 45 \) at the \( \alpha = 0.05 \) significance level using sample statistics \( s = 45.8 \) and \( n = 19 \). Assume the population is normally distributed.

#### Identify the null and alternative hypotheses.

- **Option A:** 
  \( H_0: \sigma \leq 45 \)
  
  \( H_a: \sigma > 45 \)

- **Option B:** 
  \( H_0: \sigma < 45 \)
  
  \( H_a: \sigma \geq 45 \)

- **Option C:** 
  \( H_0: \sigma > 45 \)
  
  \( H_a: \sigma \leq 45 \)

- **Option D:** 
  \( H_0: \sigma \geq 45 \)
  
  \( H_a: \sigma < 45 \)

#### Identify the test statistic.
[ ]  (Round to three decimal places as needed.)

#### Identify the critical value(s).
[ ]  (Round to three decimal places as needed. Use a comma to separate answers as needed.)

#### Choose the correct conclusion below.

**Click to select your answer(s).**
Transcribed Image Text:### Chi-Squared Test for Variance Use a \(\chi^2\)-test to test the claim \( \sigma < 45 \) at the \( \alpha = 0.05 \) significance level using sample statistics \( s = 45.8 \) and \( n = 19 \). Assume the population is normally distributed. #### Identify the null and alternative hypotheses. - **Option A:** \( H_0: \sigma \leq 45 \) \( H_a: \sigma > 45 \) - **Option B:** \( H_0: \sigma < 45 \) \( H_a: \sigma \geq 45 \) - **Option C:** \( H_0: \sigma > 45 \) \( H_a: \sigma \leq 45 \) - **Option D:** \( H_0: \sigma \geq 45 \) \( H_a: \sigma < 45 \) #### Identify the test statistic. [ ] (Round to three decimal places as needed.) #### Identify the critical value(s). [ ] (Round to three decimal places as needed. Use a comma to separate answers as needed.) #### Choose the correct conclusion below. **Click to select your answer(s).**
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