A random sample X,, X,., X, of size n is obtained from a normal distribution with mean, µ and variance, 100. We are interested to test H, :u = 120 against H, : µ = 124. a) p critical region b) Find the value of C given that the significance level, a = 0.05 and n = 25. c) Calculate the probability of Type II error.

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A random sample X,, X,.., X, of size n is obtained from a normal distribution with mean, µ
and variance, 100. We are interested to test H, : µ = 120 against H, : µ = 124.
a)
a critical region
b)
Find the value of C given that the significance level, a = 0.05 and n = 25.
Calculate the probability of Type Il error.
Transcribed Image Text:A random sample X,, X,.., X, of size n is obtained from a normal distribution with mean, µ and variance, 100. We are interested to test H, : µ = 120 against H, : µ = 124. a) a critical region b) Find the value of C given that the significance level, a = 0.05 and n = 25. Calculate the probability of Type Il error.
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