Our cereal plant has a specification of 150 g of almond slivers in every 750 gram...

Our cereal plant has a specification of 150 g of almond slivers in every 750 gram bag of cereal. We know from last year’s accumulateddata that we see a standard deviationof about 10 gof almonds.The QC lab returned the following data from the last shift: 10 bags testedfor almond content, found 158, 148, 169, 166, 137, 129, 148, 147, 139, 158.

a.Is the process running where it should be? Use a hypothesis test at 95% significance to convince your supervisor of your answer.

b.If the mean valueof almond slivers had shifted up to 155 g, what would be the Type II errorfor the test you did in part a?

c.What sample size would be needed to detect a shift in mean from 150 gto 155 g with a Type II error of 0.05?

Expert Solution

orchestra answered 2 years ago

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