deviation. Det rmal distribut al distribution 7 What is the mean of the stand de
ID: 2936814 • Letter: D
Question
deviation. Det rmal distribut al distribution 7 What is the mean of the stand deviation of the standard normal distribdl standard normal distribution. 9. Getting at the Concept Why is it correct to say "a" norm "the" standard normal distribution? 10. Getting at the Concept A z-score is O. Which of these sta true? Explain your reasoning. (a) The mean is 0 (b) The corresponding r-value is 0 (c) The corresponding r-value is equal to the mean. Graphical Analysis In Exercises 11-16, determine whether the represent a variable with a normal distribution. Explain your reason appears to represent a normal distribution, estimate the mean a graph appeurs to represent a nornal distribution, estimate the mean and standard d 12. 10 11 12 13 14 15 16 17 13. 14. 1S 16 17 18 19 20 21 22 15. 45 46 47 48 49 50 51 52 16. 12 13 14 15 16 17 18 19Explanation / Answer
8.
In order to transform a nonstandard normal distribution to the standard normal distribution we use central limit theorem. As per the the theorem, respective z - value is calculated as
z = (xbar - mu)/sigma
The standard normal distribution has mean 0 and std. dev. = 1
9.
There is only one way to have standard normal distribution (i.e. mean = 0 and std. dev. = 1), however there are number of ways to have normal distributions.
10.
If z - score is 0 then the corresponding x-value is equal to mean.
This is because as per central limit theorem,
z = (xbar - mu)/sigma
In this z will be zero if xbar = mu i.e. x-value equals to mean
13. This graph represents a variable with normal distribution.
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