Question 205670: Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a pet food canning factory. After the ingredients are thoroughly mixed, the pet food is placed in eight-ounce cans. Descriptive statistics concerning fill weights from the two production lines, from two independent samples are given in the following table.
Line A Line B
X 8.005 7.99
S 0.012 0.005
N 11 16
Assuming the population variances are equal, at the 0.05 level of significance, is there evidence of the difference between the mean weigh of the cans filled on the two lines?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a pet food canning factory. After the ingredients are thoroughly mixed, the pet food is placed in eight-ounce cans. Descriptive statistics concerning fill weights from the two production lines, from two independent samples are given in the following table.
Line A Line B
X 8.005 7.99
S 0.012 0.005
N 11 16
Assuming the population variances are equal, at the 0.05 level of significance, is there evidence of the difference between the mean weigh of the cans filled on the two lines?
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Since the variances are equal, pool the variances.
I ran a 2-Sample t-test on a TI calculator and got
the following:
test statistic: t = 4.4967
p-value: 0.000138
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Conclusion: This test provides evidence that there
is a difference between the mean weights of cans
produced by the two lines.
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Cheers,
Stan H.
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