he label on boxes of laundry detergent claims the boxes contain 39 ounces of det

Question

he label on boxes of laundry detergent claims the boxes contain 39 ounces of detergent. There is, however, some variability in the filling process. The amount of laundry detergent per box is known to follow a normal distribution with standard deviation 0.6 ounces. A consumer will measure the contents of a random sample of 10 boxes and conduct a hypothesis test at the 5% level of significance to determine whether the true mean content of all boxes of laundry detergent is less than 39 ounces.

Question 11 (1 point) Question 11 Unsaved
What is the power of the test if the true mean is actually 38.5 ounces?

Keep 4 decimal places in intermediate calculations and report your final answer to 4 decimal places.

Explanation / Answer

Power and Sample Size

1-Sample Z Test

Testing mean = null (versus < null)
Calculating power for mean = null + difference
= 0.05 Assumed standard deviation = 0.6

            Sample
Difference    Size     Power
      -0.5        10 0.839005

power = 0.8390

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