Dole Pineapple Inc. is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the population standard deviation of the process is 0.03 ounce. 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% level of significance, can we conclude that the mean weight is greater than 16 ounces?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Dole Pineapple Inc. is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the population standard deviation of the process is 0.03 ounce. 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% level of significance, can we conclude that the mean weight is greater than 16 ounces? 

 

Dole Pineapple Inc. is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the population standard
deviation of the process is 0.03 ounce. 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% level of significance, can we conclude that the mean weight is greater than 16 ounces?
a. What is the decision rule? (Round your answer to 2 decimal places.)
Reject HO: u s 16 and fail to reject H1: µ> 16 when the test statistic is
b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
c. What is your decision regarding Ho?
, the cans
being overfilled.
d. Determine the p-value.
The p-value is
Transcribed Image Text:Dole Pineapple Inc. is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the population standard deviation of the process is 0.03 ounce. 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% level of significance, can we conclude that the mean weight is greater than 16 ounces? a. What is the decision rule? (Round your answer to 2 decimal places.) Reject HO: u s 16 and fail to reject H1: µ> 16 when the test statistic is b. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic c. What is your decision regarding Ho? , the cans being overfilled. d. Determine the p-value. The p-value is
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