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Answer in Statistics and Probability for fahad #91572

Author:
January 24th, 2023

“P(bar{X}>504)=P(Z>frac{504-500}{frac{25}{sqrt{100}}})=P(Z>1.6)=1-P(Z<1.6)=1-0.9452=0.0548.”

Since the probability that a random sample of 100 filled boxes has the mean weight 504 g or more is greater than 0.05,

there is no reason to believe that machine is over filling the boxes.

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