For a population with a mean of 40 and a standard deviation of 8 find the z-score corresponding to each of the following samples.
x = 34 for a sample of n = 1 score:
m = 34 for a sample of n = 4
m = 34 for a sample of n = 16

a) -0.75

b) -1.5

c) -3

Step-by-step explanation:

The question asks to convert a given value to z score with different sample sizes.

We are given:

Population Mean = u = 40

and

Standard deviation = s = 8

The task is to convert 34 to z-score using 3 different sample sizes.

For a given sample size "n", the formula to calculate the z-score is:

For x = 34 and n=1, we get:

For x = 34 and n = 4, we get:

For x = 34 and n = 16, we get:

From here we can see that increasing the sample sizes increases the magnitude of z-score.

b. x + 1

step-by-step explanation:

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