We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following. Store A Store B n1 = 21 n2 = 16 = 800 = 400 a. Provide the hypotheses to be tested. b. Compute the test statistic. c. Determine the critical value of F at 95% confidence. d. Compute the p-value and use it to test the above hypotheses.

a)Null Hypothesis : H0 : σ1^2 = σ2^2

Alternative Hypothesis: H1 = σ1^2 not equal to σ2^2

b)The test statistics =4

c)0.03, 2.76  

Explanation:

a)Null Hypothesis : H0 : σ1^2 = σ2^2

Alternative Hypothesis: H1 = σ1^2 not equal to σ2^2

b)The test statistics  

F=s1^2/s2^2

=800^2/400^2

=4

c)The critical value of F at 95% confidence.

Given a=0.05

The critical value is F(0.025,df1=n1-1=20, df2=n2-1=15)=0.03 from the F tables  

F(0.975,df1=20,df2=15)=2.76  from the F tables  

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a recipe serves 8 people, and calls for 5 lbs of apples and 2 cups of flour. you want to prepare it for 24 people. divide 24 by 8 to get 3, and then multiply your ingredients by 3.

so for 24 people, you'll need 15 lbs of apples, and 6 cups of flour.