Question 434444: Dole Pineapple, Inc., is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounces. The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5 percent level of significane, can we conclude that the mean weight is greater than 16 ounces? Determine the p-value.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Dole Pineapple, Inc., is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounces. The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5 percent level of significane, can we conclude that the mean weight is greater than 16 ounces? Determine the p-value.
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Ho: u = 16
Ha: u > 16 (claim)
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t(16.05) = (16.05-16)/[0.03/sqrt(50)] = 11.78
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p-value = P(t > 11.78 when df=49) = 3.277x10^-16
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Conclusion: Since the p-value is less that 5%, reject Ho.
Test results support the claim.
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Cheers,
Stan H.
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