6.17 The pmf of a random variable X is given below. 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 if X = 1, X = 2 or X = 3. (a) What is the probability of a Type I error? (b) Is this a powerful

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6.17 The pmf of a random variable X is given below.
1
3
4
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 if X = 1, X = 2 or
X = 3. (a) What is the probability of a Type I error? (b) Is this a powerful
test?
Transcribed Image Text:6.17 The pmf of a random variable X is given below. 1 3 4 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 if X = 1, X = 2 or X = 3. (a) What is the probability of a Type I error? (b) Is this a powerful test?
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