Hypothesis Testing for Sample Mean: Acceptance Range of Nut Mass

Hypothesis Testing for Sample Mean: Acceptance Range of Nut Mass

TGM Original Questions

A factory produces nuts. It is claimed that the mass of nuts produced is normally distributed with a mean mass of \(6\) g and standard deviation of \(0.8\) g. this claim is not rejected at \(5\%\) level of significance, on the basis of the mean mass obtained from a random sample of \(50\) nuts. What are the range of values of the mean mass of the \(50\) nuts in the sample.

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Answer:\(5.78<\bar{x}<6.22\)

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