Following from Exercise 41.6, suppose Y Gamma(k = 24, = 1). a. What is E(Y)?
Question:
Following from Exercise 41.6, suppose Y ∼ Gamma(k =
24, λ = 1).
a. What is E(Y)?
b. Again we wish to test H0 : µ = 25. Compared with the simulation in Exercise 41.6, what do you expect to happen to the P-value for this test?
c. Simulate n = 10 observations fromY and test H0 using the t.test command. Do you get the results you expect?
d. What would you expect to happen to the P-value if you simulate n = 1000 observations from Y instead of n = 10?
Make a note of what you think will happen, then run the simulation in R and record your findings.
e. Explain why the P-value in part
(d) changed in the way it did.
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Related Book For
Mathematics And Statistics For Science
ISBN: 9783031053177
1st Edition
Authors: James Sneyd, Rachel M. Fewster, Duncan McGillivray
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