.Question 15You know that for variable A μ = 1400 and σ = 300. You alsoknow that the variable is normally distributed. You decide to change the scores of this variableinto z-scores. What is the mean and standard deviation of this new distribution?1 pointCannot be calculated on the basis of this information.Mean = 1400, standard deviation = 300.Mean = 0, standard deviation = 1.Mean = 1400, standard deviation = 1.
Question
.Question 15You know that for variable A μ = 1400 and σ = 300. You alsoknow that the variable is normally distributed. You decide to change the scores of this variableinto z-scores. What is the mean and standard deviation of this new distribution?1 pointCannot be calculated on the basis of this information.Mean = 1400, standard deviation = 300.Mean = 0, standard deviation = 1.Mean = 1400, standard deviation = 1.
Solution
When you convert a variable into z-scores, the mean of the new distribution will always be 0 and the standard deviation will always be 1. This is because the z-score is a measure of how many standard deviations an element is from the mean. So, the correct answer is: Mean = 0, standard deviation = 1.
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