Is the variance for the amount of money, in dollars, that shoppers spend on Saturdays at the mall the same as the variance for the amount of money that shoppers spend on Sundays at the mall? Suppose that the tables below show the results of a study:

Saturday:

48	69.6	76	80.3	85.9
60	101.5	109.6	87.6	89
59.1	92.4	56.5	53.7

(Note: The average and the standard deviation of the data are respectively 76.4 dollars and 19.04 dollars.)

Sunday:

96.3	60.4	81.9	85.6	90.9
99	67.5	89.4	66.6	86.6
54.3	77.9	83.3	109.7	61.9
89.8	84.3	77.4	69.4	76

(Note: The average and the standard deviation of the data are respectively 80.4 dollars and 14.08 dollars.)

Use a 10% significance level to test the claim that the standard deviation for the amount of money that shoppers spend on Saturday is greater than the standard deviation for the amount of money that shoppers spend on Sunday.

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

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

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

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

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

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