A sample of birth weights of 47 girls was taken. Below are the results (in g):

3300.4	3962.8	2738.6	3930.7	2633.8
3787.2	2987.4	3543.5	3892.9	3116.9
4039.9	3385.2	3000.4	3068.8	3772.2
3173.6	3105.1	2822.3	3668.6	3762.8
2933.3	3617.7	3534.7	2884.9	3109.1
3435.2	3922	3390.5	2557.7	2768.6
3541.2	4163.4	3405.3	2844.5	3411.3
2447.8	2420.3	2709.4	3472.1	4303.6
2764.5	3486.2	3696.7	3038.4	3624
2735.9	2557.1

(Note: The average and the standard deviation of the data are respectively 3286.6 g and 491.42 g.)

Use a 10% significance level to test the claim that the standard deviation of birthweights of girls is different from the standard deviation of birthweights of boys, which is 470 g.

Procedure: Select an answer One proportion Z Hypothesis Test One mean Z Hypothesis Test One variance χ² Hypothesis Test One mean T Hypothesis Test

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

$\displaystyle {H}_{{0}}:$ Select an answer σ² μ p =	, where ? μ σ p is the Select an answer population mean population standard deviation population proportion and the units are ? mg kg lbs g
$\displaystyle {H}_{{a}}:$ Select an answer p σ² μ ? > < ≠	, and the test is Select an answer Two-Tailed Left-Tailed Right-Tailed

Step 2. The significance level $\displaystyle \alpha=$ %

Step 3. Compute the value of the test statistic: Select an answer t₀ z₀ χ₀² = (Round the answer to 3 decimal places)

Step 4. Testing Procedure: (Round the answers to 3 decimal places)

CVA	PVA
Provide the critical value(s) for the Rejection Region:	Compute the P-value of the test statistic:
left CV is and right CV is	P-value is

Step 5. Decision:

CVA	PVA
Is the test statistic in the rejection region?	Is the P-value less than the significance level?
? yes no	? no yes

Conclusion: Select an answer Reject the null hypothesis in favor of the alternative. Do not reject the null hypothesis in favor of the alternative.

Step 6. Interpretation:

At 10% significance level we Select an answer DO DO NOT have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.