Find each of the requested values for a population with a mean of =50 and a stan

Question

Find each of the requested values for a population with a mean of =50 and a standard deviation of =12. What is the z-score corresponding to X=29? (Use two decimal places.)
Z=_________ What is the X value corresponding to z=1.25? X=__________
If all the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores?(Use two decimal places) =______
=______

What is the z-scores corresponding to a sample mean of M=47 for a sample of n=144 scores? (Use two decimal places) z=_____
What is the z-score corresponding to a sample mean of M=47 for a sample of n=36 scores? (Use two decimal places) z=_____ Find each of the requested values for a population with a mean of =50 and a standard deviation of =12. What is the z-score corresponding to X=29? (Use two decimal places.)
Z=_________ What is the X value corresponding to z=1.25? X=__________
If all the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores?(Use two decimal places) =______
=______

What is the z-scores corresponding to a sample mean of M=47 for a sample of n=144 scores? (Use two decimal places) z=_____
What is the z-score corresponding to a sample mean of M=47 for a sample of n=36 scores? (Use two decimal places) z=_____ What is the z-score corresponding to X=29? (Use two decimal places.)
Z=_________ What is the X value corresponding to z=1.25? X=__________
If all the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores?(Use two decimal places) =______
=______

What is the z-scores corresponding to a sample mean of M=47 for a sample of n=144 scores? (Use two decimal places) z=_____
What is the z-score corresponding to a sample mean of M=47 for a sample of n=36 scores? (Use two decimal places) z=_____

Explanation / Answer

as z score =(X-mean)/std deviaiton

a) z-score corresponding to X=29

Z =(29-50)/12 =-1.75

b) X value corresponding to z=1.25

X =50+1.25*12=65

c)

If all the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores?

= 0

=1

d) z-scores corresponding to a sample mean of M=47 for a sample of n=144 scores:

z =(47-50)/(12/(144)1/2) = -3

e) z-score corresponding to a sample mean of M=47 for a sample of n=36 scores

z =(47-50)/(12/(36)1/2) = -1.5

here std error =

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