(Note: The average and the standard deviation of the data are respectively 3272.8 g and 480.82 g.) Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than the standard deviation of birthweights of boys, which is 520 g.

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A sample of birth weights of 30 girls was taken. Below are the results (in g):
3813.4
3865.6
3640.6
3960.9
3344.1
3731.1
3764.6
2590.2
3548.2
2991.3
3116.1
2803
3202.7
2893.8
3606.7
3434.1
3595.8
2911.2
2916.3
2955.6
2942
3737.8
2713.4
3962.3
2833.1
3099.7
3013.2
3568.8
3671.4
1958
(Note: The average and the standard deviation of the data are respectively 3272.8 g and 480.82 g.)
Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than
the standard deviation of birthweights of boys, which is 520 g.
Procedure: One variance y Hypothesis Test v
Assumptions: (select everything that applies)
Population standard deviation is unknown
Normal population
I Sample size is greater than 30
| Population standard deviation is known
a Simple random sample
| The number of positive and negative responses are both greater than 10
Part 2 of 5
Step 1. Hypotheses Set-Up:
where
o* is the
Но:
1
population standard deviation v
f and the units
* 270400
are Ibs vX
Ha: o
and the test is Left-Tailed
1
Step 2. The significance level a =
1
Part 3 of 5
Step 3. Compute the value of the test statistic: Select an answer
decimal places)
(Round
answer to 3
Step 4. Testing Procedure: (Round the answers to 3 decimal places)
CVA
PVA
Compute the P-value of the test:
statistic:
Provide the critical value(s) for the Rejection Region:
left CV is
and right CV is
P-value is
Transcribed Image Text:A sample of birth weights of 30 girls was taken. Below are the results (in g): 3813.4 3865.6 3640.6 3960.9 3344.1 3731.1 3764.6 2590.2 3548.2 2991.3 3116.1 2803 3202.7 2893.8 3606.7 3434.1 3595.8 2911.2 2916.3 2955.6 2942 3737.8 2713.4 3962.3 2833.1 3099.7 3013.2 3568.8 3671.4 1958 (Note: The average and the standard deviation of the data are respectively 3272.8 g and 480.82 g.) Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than the standard deviation of birthweights of boys, which is 520 g. Procedure: One variance y Hypothesis Test v Assumptions: (select everything that applies) Population standard deviation is unknown Normal population I Sample size is greater than 30 | Population standard deviation is known a Simple random sample | The number of positive and negative responses are both greater than 10 Part 2 of 5 Step 1. Hypotheses Set-Up: where o* is the Но: 1 population standard deviation v f and the units * 270400 are Ibs vX Ha: o and the test is Left-Tailed 1 Step 2. The significance level a = 1 Part 3 of 5 Step 3. Compute the value of the test statistic: Select an answer decimal places) (Round answer to 3 Step 4. Testing Procedure: (Round the answers to 3 decimal places) CVA PVA Compute the P-value of the test: statistic: Provide the critical value(s) for the Rejection Region: left CV is and right CV is P-value is
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