In a certain normal distribution of scores, the mean is 30 and the standard deviation is 3. Find the z-score corresponding to a score of 23. a. 10.00 c. 7.7 b. 2.33 d. –2.33 Ple…

Question

asked Jun 21, 2021 201k views

1 Answer

Mdewitt · Answer 1 · 2021-06-27T20:05:00+0000

Answer:

Explanation:

The z-score can be calcualted with the following formula

$Z=(x-\mu)/(\sigma)$

Where
$\mu$ is the mean and
$\sigma$ is the standard deviation.

So, in this problem, we have the following data

$x=23\\\mu =30\\\sigma=3$

Replacing all values in the formula, we have

$Z=(23-30)/(3)=(-7)/(3) \approx -2.33$

Therefore, the right answer is d.