A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as: a) Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You may need to do an additional test to decide which test to apply for comparing the means) b) What is the power of the test in part a?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 54E: Conditional probability If 40 of the population have completed college, and 85 of college graduates...
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A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as:

a) Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You may need to do an additional test to decide which test to apply for comparing the means)


b) What is the power of the test in part a?


c) The researcher would like to design a new experiment which will allow a two tailed hypothesis test with significance 0.05 and power 0.90. What should be the sample sizes nK and nL for Species K and Species L (use
k = 1).

Species K
Species L
4.7
5.3
5.2
4.6
6.1
4.1
5.8
4.8
5.2
4.2
Transcribed Image Text:Species K Species L 4.7 5.3 5.2 4.6 6.1 4.1 5.8 4.8 5.2 4.2
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