6.17 The pmf of a random variable X is given below. X 1 2 3 4 5 p(x) .1 +0.2+0 2+30 .1-0 4-40 In a test of Ho: 0 = 0 versus H₁ : 0 = 0.1, Ho is rejected when X = 1,2,3. (a) What is the probability of a Type I error? (b) Is this a powerful test?

6.17 The pmf of a random variable X is given below. X 1 2 3 4 5 p(x) .1 +0.2+0 2+30 .1-0 4-40 In a test of Ho: 0 = 0 versus H₁ : 0 = 0.1, Ho is rejected when X = 1,2,3. (a) What is the probability of a Type I error? (b) Is this a powerful test?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 19E

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Question

6.17 The pmf of a random variable X is given below.
X
1
2
3
4
5
p(x) .10 .2+0 2+30 1-0 4-40
In a test of Ho: 0 = 0 versus H₁ : 0 = 0.1, Ho is rejected when X = 1,2,3.
(a) What is the probability of a Type I error? (b) Is this a powerful test?

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