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In: Statistics and Probability

A Packaging Company produces boxes out of cardboard that has a specified weight of 30 oz....

A Packaging Company produces boxes out of cardboard that has a specified weight of 30 oz. It is known that the weight of a box is normally distributed with standard deviation σ =1.3 oz. A random sample of 16 boxes yielded a sample mean of 30.7 oz. At 5% level of significance, test the claim that the mean weight of a box is more than 30 oz.

State what is given, what are the hypothesis, what is the test statistic, draw a graph, find the p-value and state the conclusion. As an addition, state at what level of significance you would reject the zero hypothesis.

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