A sample of birth weights of 13 girls was taken. Below are the results (in g): 2961.8 3509.5 2808.6 1212.4 2037.3 4224.7 3083.2 3423.6 3967.3 3252.4 2945.8 2494.6 4165.6 * = 3083.6 g s = 848.12 g Use a 10% significance level to test the claim that the standard deviation of birth weights of girls is greater than the standard deviation of birth weights of boys, which is 520 g.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A sample of birth weights of 13 girls was taken. Below are the
results (in g):
2961.8
3509.5
2808.6
1212.4
2037.3
4224.7
3083.2
3423.6
3967.3
3252.4
2945.8
2494.6
4165.6
= 3083.6 g
s = 848.12 g
Use a 10% significance level to test the claim that the
standard deviation of birth weights of girls is greater than the
standard deviation of birth weights of boys, which is 520 g.
Round all answers to 3 decimal places if possible.
Transcribed Image Text:A sample of birth weights of 13 girls was taken. Below are the results (in g): 2961.8 3509.5 2808.6 1212.4 2037.3 4224.7 3083.2 3423.6 3967.3 3252.4 2945.8 2494.6 4165.6 = 3083.6 g s = 848.12 g Use a 10% significance level to test the claim that the standard deviation of birth weights of girls is greater than the standard deviation of birth weights of boys, which is 520 g. Round all answers to 3 decimal places if possible.
Step 4. Testing Procedure:
Provide the critical value(s) for the Rejection Region.
For a one-tailed test, use DNE for the unneeded
critical value.
• Left CV =
• Right CV =
The p-value is
Link 2 to Chi-Square Table:
https://www.itl.nist.gov/div898/handbook/eda/section3/eda
Step 5. Decision
Is the test statistic in the rejection region? ?
Is the p-value less than the significance level? ?
Conclusion:
Select an answer
Step 6. Interpretation:
At a 10% significance level we
Select an answer
have
sufficient evidence to reject the null hypothesis in
favor of the alternative hypothesis.
Transcribed Image Text:Step 4. Testing Procedure: Provide the critical value(s) for the Rejection Region. For a one-tailed test, use DNE for the unneeded critical value. • Left CV = • Right CV = The p-value is Link 2 to Chi-Square Table: https://www.itl.nist.gov/div898/handbook/eda/section3/eda Step 5. Decision Is the test statistic in the rejection region? ? Is the p-value less than the significance level? ? Conclusion: Select an answer Step 6. Interpretation: At a 10% significance level we Select an answer have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
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