Suppose a researcher decided to test a hypothesis that adding compost to tomato plants increases mean tomato mass. SE knew the standard deviation of the mass of all tomato plants, so she chose a one-sample z-test using a simple random sa of 50 plants that received compost. She used a significance level of a = 0.05. The power of her test to detect a difference 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 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 decimal places. B =

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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
of 50 plants that received compost. She used a significance level of a = 0.05. The power of her test to detect a difference in
mean tomnato mass of 25 g or more was 0.85.
What is the probability, ß, that the researcher will make a type II error and fail to conclude that adding compost increases
mean tomato mass when, in fact, adding compost increases mean tomato mass by 25 g or more?
CO
Give your answer as a decimal, precise to two decimal places.
B =
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Transcribed Image Text: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 of 50 plants that received compost. She used a significance level of a = 0.05. The power of her test to detect a difference in mean tomnato mass of 25 g or more was 0.85. What is the probability, ß, that the researcher will make a type II error and fail to conclude that adding compost increases mean tomato mass when, in fact, adding compost increases mean tomato mass by 25 g or more? CO Give your answer as a decimal, precise to two decimal places. B = tems of use contact us help about us, careers privacy poliSy 5:29 PM 昂 12/4/2020 a insert
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