i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and variance of the random variable Y are 0 and 1, respectively. iii) Show using the moment generating function technique that Y is a standard normal random variable.

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Q: modified as follows: In a random sample of 55 panels, the average failure time is 2.07 years and the…

A: Given: n = 55 X = 2.07 s = 1.11 Confidence level = 91.7% Formula Used: Confidence interval = X ± tsn

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Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

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