The breaking strength of hockey stick shafts made of two different graphite-kevlar composites yields the following results (in Newtons):

Composite 1:

455.3	436.2	462.1	472.6	432.2
454.2	471.2	452.6	463.2	451
449.7	440.1

(Note: The average and the standard deviation of the data are respectively 453.4 Newtons and 12.81 Newtons.)

Composite 2:

493.3	516	458.2	528.2	456.7
478.2	468.2	471.8	475.1	487.8
489	483.2	471.1	485.9

(Note: The average and the standard deviation of the data are respectively 483.1 Newtons and 19.97 Newtons.)

Use a 10% significance level to test the claim that the standard deviation of the breaking strength of hockey stick shafts made of graphite-kevlar composite 1 is less than the standard deviation of the breaking strength of hockey stick shafts made of graphite-kevlar composite 2.

Procedure: Select an answer Two means Z Hypothesis Test Two means T (non-pooled) Hypothesis Test Two paired means Z Hypothesis Test Two means T (pooled) Hypothesis Test Two variances F Hypothesis Test Two proportions Z Hypothesis Test

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

$\displaystyle {H}_{{0}}:$ Select an answer p₁-p₂ σ₁²/σ₂² μ₁-μ₂ μ =	, where Select an answer p's are σ's are μ=μ₁-μ₂ is μ's are the Select an answer population proportions population standard deviations population means difference between population means and the units are Select an answer Watt N J lbs
$\displaystyle {H}_{{a}}:$ Select an answer μ₁-μ₂ p₁-p₂ μ σ₁²/σ₂² ? > < ≠	, and the test is Select an answer Left-Tail Right-Tail Two-Tail

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

Step 3. Compute the value of the test statistic: Select an answer z₀ t₀ χ²₀ f₀ = (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?
? no yes	? yes no

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.