Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It is believed that the machine is underfilling the bags. A 46 bag sample had a mean of 430.0 grams. A level of significance of 0.01 will be used. Determine the decision rule. Assume the standard deviation is known to be 23.0.

Enter the decision rule.

Reject Ho if z < _____

Answer 1

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Sample mean = 430

Pop. Mean = 436

n = 46

Stdev = 23

Now, Hypothesis is :

Ho: Mu >= 436

Ha: Mu < 436

So, we reject Ho if the Z < Z value for .01 or -2.33

So, we reject Ho if Z < -2.33