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a sample of n=4 scores has a mean of 75. Find the z-score of the sample.

Mathematics
Tutor: None Selected Time limit: 0 Hours

A.  If it was obtained from a population with mean of 80 and standard deviation of 10.
B.  If it was obtained from a population with a mean od 80 and standard deviation of 20

C.  If it was obtained from a population with a mean of 80 and SD of 40

Nov 15th, 2014

A. First find standard error = standard deviation/ sqrt n = 10/sqrt 4 = 5

    Then z= 75- 80/ 5 = -5/5 = -1          

B.  standard error = 20/sqrt 4 =20/2 = 10

   Then z = 75-80/ 10 = -5/10 = -0.5

C.  standard error = 40/sqrt 4 = 40/2 = 20

   Then z = 75 -80/20 = -5/20 = -0.25


Answer:  A. -1.    B. -0.5.    C. -0.25

Nov 15th, 2014

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