Suppose a researcher decided to test a hypothesis that adding compost to tomato

Question

Suppose a researcher decided to test a hypothesis that adding compost to tomato plants increases mean tomato mass. She knew the standard deviation of the mass of all tomato plants, so she chose a one-sample z-test using a simple random sample mean tomato mass of 25 g or more was 0.85. What is the probability, B, that the researcher will make a type II error and fail to conclude that adding compost increases com uS mean tomato mass when, in fact, adding compost increases mean tomato mass by 25 g or more? Give your answer as a decimal, precise to two dectimal places = 11 0.025

Explanation / Answer

Remember this:

power of test = 1 - beta

We are given that

power = 0.85

So,

0.85 = 1 - Beta

Beta = 0.15

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