A simple random sample of 50 men results in a standard deviation of 10.08 beats per minute. Use the sample results to test the claim that men have pulse rates that have a standard deviation equal to the population standard deviation of 10.19 beats per minute at the 1% significance level. Assume that the sample is from a normally distributed population. What are the correct hypotheses? (Select the correct symbols and values.) Họ: Select an ansver beats per minute oOriginal claim = Select an answer H;: Select an ansvwer beats per minute Enter the critical values, along with the significance level and degrees of freedom x(a,df) below the graph. (Graph is for illustration only. No need to shade.) X- Distribution 0.12 01
A simple random sample of 50 men results in a standard deviation of 10.08 beats per minute. Use the sample results to test the claim that men have pulse rates that have a standard deviation equal to the population standard deviation of 10.19 beats per minute at the 1% significance level. Assume that the sample is from a normally distributed population. What are the correct hypotheses? (Select the correct symbols and values.) Họ: Select an ansver beats per minute oOriginal claim = Select an answer H;: Select an ansvwer beats per minute Enter the critical values, along with the significance level and degrees of freedom x(a,df) below the graph. (Graph is for illustration only. No need to shade.) X- Distribution 0.12 01
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![**Hypothesis Testing Problem: Standard Deviation of Pulse Rates**
A simple random sample of 50 men results in a standard deviation of 10.08 beats per minute. Use the sample results to test the claim that men have pulse rates with a standard deviation equal to the population standard deviation of 10.19 beats per minute at the 1% significance level. Assume that the sample is from a normally distributed population.
### Hypotheses
**What are the correct hypotheses?**
- Null Hypothesis (H₀):
- [Select: σ = 10.19] beats per minute
- Original claim [Select: H₀]
- Alternative Hypothesis (H₁):
- [Select: σ ≠ 10.19] beats per minute
### Critical Values and Test Statistic
**Enter the critical values, along with the significance level and degrees of freedom \(χ²_{(\alpha, df)}\).**
- Graph of \(χ²\)-Distribution:
- A bell-like curve skewed to the right, illustrating the probability of different chi-squared values.
- **Degrees of Freedom (df):** 49
- **Critical Values:**
- \(χ²_{0.005, 49} = \_\_\_\_ \)
- **Test Statistic:**
- \(χ² = \_\_\_\_\) (Round to three decimal places.)
### Decision and Conclusion
**Decision:**
- [Select: Reject/Do not reject] H₀.
**Conclusion:**
- [Select: There is/is not] sufficient evidence to [support/reject] the claim that men have pulse rates with a standard deviation equal to the population standard deviation of 10.19 beats per minute.
(Round all final answers to three decimal places as indicated.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9076e7a-57c1-402a-997f-53718f1a9a67%2F6fc8eb99-3f00-491b-9c45-b94f280fed6d%2Fftx1ps_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Problem: Standard Deviation of Pulse Rates**
A simple random sample of 50 men results in a standard deviation of 10.08 beats per minute. Use the sample results to test the claim that men have pulse rates with a standard deviation equal to the population standard deviation of 10.19 beats per minute at the 1% significance level. Assume that the sample is from a normally distributed population.
### Hypotheses
**What are the correct hypotheses?**
- Null Hypothesis (H₀):
- [Select: σ = 10.19] beats per minute
- Original claim [Select: H₀]
- Alternative Hypothesis (H₁):
- [Select: σ ≠ 10.19] beats per minute
### Critical Values and Test Statistic
**Enter the critical values, along with the significance level and degrees of freedom \(χ²_{(\alpha, df)}\).**
- Graph of \(χ²\)-Distribution:
- A bell-like curve skewed to the right, illustrating the probability of different chi-squared values.
- **Degrees of Freedom (df):** 49
- **Critical Values:**
- \(χ²_{0.005, 49} = \_\_\_\_ \)
- **Test Statistic:**
- \(χ² = \_\_\_\_\) (Round to three decimal places.)
### Decision and Conclusion
**Decision:**
- [Select: Reject/Do not reject] H₀.
**Conclusion:**
- [Select: There is/is not] sufficient evidence to [support/reject] the claim that men have pulse rates with a standard deviation equal to the population standard deviation of 10.19 beats per minute.
(Round all final answers to three decimal places as indicated.)
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