Question

It was found that the distribution was approximately normal with mean μ=2.95 and standard deviation σ=0.5....

It was found that the distribution was approximately normal with mean μ=2.95 and standard deviation σ=0.5.

  1. Which of the following is the form of the linear transformation of any normal variable to a standard normal variable?
    1. z=x
    2. z=x-μ
    3. z=x-μσ
    4. z=x-μσ2
    5. See work (answer not listed)

Math   Statistics-And-Probability   
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Answer #1

The correct option is (e), i.e., answer not listed.

The z-score is used to transform any normal random variable with mean, and standard devia-
tion, into a standard normal random variable. The z-score, denoted z, for a given x value is given by the formula, .This transformation formula allows us to find probabilities for any normally distributed random variable.

The normal random variable given in the question has mean, and standard deviation,

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