A simple random sample of 60 men results in a standard deviation of 10.02 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 10.91 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.) H0: Select an answer s s² σ² x̄ p σ p̂ μ  ? ≤ < ≥ ≠ = >   beats per minute      Original claim = Select an answer H₀ H₁  H1: Select an answer σ σ² p s s² x̄ p̂ μ  ? ≠ = ≥ < > ≤   beats per minute Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)   X2Χ2(,) =  < X2Χ2(,) =  (Round to three decimal places.)   Test Statistic =  (Round to three decimal places.) Decision: Select an answer Accept the null hypothesis Reject the null hypothesis Accept the alternative hypothesis Fail to reject the null hypothesis  . Conclusion: Select an answer The sample data supports There is not enough evidence to support There is not sufficient evidence to warrant rejection of There is sufficient evidence to warrant rejection of  the claim that men have pulse rates that have a standard deviation equal to the population standard deviation of 10.91 beats per minute.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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A simple random sample of 60 men results in a standard deviation of 10.02 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 10.91 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.)
H0: Select an answer s s² σ² x̄ p σ p̂ μ  ? ≤ < ≥ ≠ = >   beats per minute      Original claim = Select an answer H₀ H₁ 

H1: Select an answer σ σ² p s s² x̄ p̂ μ  ? ≠ = ≥ < > ≤   beats per minute

Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)

 
X2Χ2(,) = 
<
X2Χ2(,) = 


(Round to three decimal places.)

 

Test Statistic =  (Round to three decimal places.)

Decision: Select an answer Accept the null hypothesis Reject the null hypothesis Accept the alternative hypothesis Fail to reject the null hypothesis  .

Conclusion: Select an answer The sample data supports There is not enough evidence to support There is not sufficient evidence to warrant rejection of There is sufficient evidence to warrant rejection of  the claim that men have pulse rates that have a standard deviation equal to the population standard deviation of 10.91 beats per minute.

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