Question

compute the z - score corresponding to each of the values of x below.
a. ( x = 28 ), ( s = 4 ), ( overline{x}=20 ) b. ( x = 88 ), ( mu = 87 ), ( sigma = 2 ) c. ( mu = 45 ), ( sigma = 5 ), ( x = 45 )
d. ( s = 6 ), ( x = 35 ), ( overline{x}=50 ) e. in parts a - d, state whether the z - score locates x within a sample or a population. f. in parts a - d, state whether each value of x lies above or below the mean and by how many standard deviations.
a. ( z = 2 ) (simplify your answer.)
b. ( z = 0.5 ) (simplify your answer.)
c. ( z = 0 ) (simplify your answer.)
d. ( z=square ) (simplify your answer.)

Explanation:

Step1: Recall the formula for z - score

The formula for the z - score when dealing with a sample is \(z=\frac{x - \bar{x}}{s}\).

Step2: Substitute the values into the formula

Given \(x = 35\), \(\bar{x}=50\), and \(s = 6\).

$$
LATEXBLOCK0
$$

Answer:

\(-2.5\)