A production line operation is tested for filling weight accuracy using the following hypotheses.

Hypothesis       Conclusion and Action
H ₀:  = 16         Filling okay, keep running
H _a: 16       Filling off standard; stop and adjust machine

The sample size is 33 and the population standard deviation is = 1. Use a = .05. Do not round intermediate calculations.

What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?

Solutions

Expert Solution

Answer:

Explanation:

A Type II error is the probability of failing to reject the null hypothesis when the null hypothesis is actually FALSE such that,

The power for the one-sample z test for the two-sided alternative is obtained using the following formula,

The z critical value is obtained from the standard normal distribution table for significance level = 0.05

Hence,

Answer:

Explanation:

The power is obtained in part a.

orchestra answered 1 year ago

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