Question

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13 7. For a population with a mean of u = 40 and a standard deviation of o = 8, find the z-score corresponding to each of the following samples. a. X = 34 for a sample of n = 1 score b. M = 34 for a sample of n = 4 scores

Answer 1

7.a) The Z score for a normal distribution is calculated as:

Z-!-H

So, the Z score for n=1 is calculated as:

z- X- 4-40 。 -= - = 8 -0.75

b) And the Z score for a standard normal distribution is calculated as:

res

so, the score is calculated as:

$Z = \frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}=\frac{34-40}{\frac{8}{\sqrt{4}}} =-1.5$