Use a 10% significance level to test the claim that the standard deviation of birth weights of girls is less than the standard deviation of birth weights of boys, which is 460 g.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A sample of birth weights of 14 girls was taken. Below are the results (in g):
3207.3
3244.9
3783.8
3056.5
2704.1
3464.7
3031.6
2726.2
2481.7
3205.6
3443.6
3086.7
3160.2
3157.6
I = 3125.3 g
s = 333.49 g
Use a 10% significance level to test the claim that the standard deviation of birth weights of girls is less
than the standard deviation of birth weights of boys, which is 460 g.
Round all answers to 3 decimal places if possible.
Procedure: Select an answer
Step 1. Hypotheses Set-Up:
Ho: Select an answer
Ha: Select an answer
The test is a Select an answer v test.
Step 2. The significance level is a =
Step 3. Compute the value of the test statistic: Select an answer v
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 to Chi-Square Table: https://www.itl.nist.gov/div898/handbook/eda/section3/eda3674.htm
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 v have sufficient evidence to reject the null
hypothesis in favor of the alternative hypothesis.
Transcribed Image Text:A sample of birth weights of 14 girls was taken. Below are the results (in g): 3207.3 3244.9 3783.8 3056.5 2704.1 3464.7 3031.6 2726.2 2481.7 3205.6 3443.6 3086.7 3160.2 3157.6 I = 3125.3 g s = 333.49 g Use a 10% significance level to test the claim that the standard deviation of birth weights of girls is less than the standard deviation of birth weights of boys, which is 460 g. Round all answers to 3 decimal places if possible. Procedure: Select an answer Step 1. Hypotheses Set-Up: Ho: Select an answer Ha: Select an answer The test is a Select an answer v test. Step 2. The significance level is a = Step 3. Compute the value of the test statistic: Select an answer v 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 to Chi-Square Table: https://www.itl.nist.gov/div898/handbook/eda/section3/eda3674.htm 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 v have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
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