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The production manager of a fruits canning factory begins to suspect that, as a result of observing the machine operators, the 16 oz. can of fruits may be slightly filled beyond the required weight. He takes a random sample of 80 packed cans and finds that the mean weight is 16.08 oz. with a standard deviation of 0.04 oz. At 1% Level of Significance, can the production manager conclude that the fruit cans were being overfilled?

The production manager of a fruits canning factory begins to suspect that, as a result of observing the machine operators, the 16 oz. can of fruits may be slightly filled beyond the required weight. He takes a random sample of 80 packed cans and finds that the mean weight is 16.08 oz. with a standard deviation of 0.04 oz. At 1% Level of Significance, can the production manager conclude that the fruit cans were being overfilled?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The production manager of a fruits canning factory begins to suspect that, as a result of observing the machine operators, the 16 oz. can of fruits may be slightly filled beyond the required weight. He takes a random sample of 80 packed cans and finds that the mean weight is 16.08 oz. with a standard deviation of 0.04 oz. At 1% Level of Significance, can the production manager conclude that the fruit cans were being overfilled?
Transcribed Image Text:The production manager of a fruits canning factory begins to suspect that, as a result of observing the machine operators, the 16 oz. can of fruits may be slightly filled beyond the required weight. He takes a random sample of 80 packed cans and finds that the mean weight is 16.08 oz. with a standard deviation of 0.04 oz. At 1% Level of Significance, can the production manager conclude that the fruit cans were being overfilled?
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