Soda Pepsi Corp. and Coca-Cola Crop. fill cans of soda in their manufacturing fa

Question

Soda Pepsi Corp. and Coca-Cola Crop. fill cans of soda in their manufacturing facilities. It's important to maintain a low standard deviation with respect to fill amounts (otherwise, cans would overflow or have insufficient amounts). Samples of fill amounts (in ounces) are shown below. Test the belief that the Pepsi standard deviation of the fill amounts is the same as the standard deviation of the Coca-Cola amounts of fill. Use a 10% level of significance. Step 1: H_0: _____ H_a: _____ Step 2: F-stat value: _____ Step 3: F-critical value: _____ Step 4: H_0 is accepted/rejected? Step 5: Evidence suggests that the Pepsi fill standard deviation is the same as Coca-Cola. Yes or NO (circle one)

Explanation / Answer

1)

H0: There is no significance difference between the pepsi standard deviation of fill can and coca cola standard deviation fill can.

H1: standard deviation of pepsi and coca cola amount of fills is significantly different.

2)

f statistic value = s12/s22 where s12 and s22 are the sample variances = 17.05

3) critical f value using f table is 5.309157

4) Reject H0

5) NO

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