Asked by Jamie Stallings on Jun 17, 2024
Verified
If a variable is normally distributed with a hypothesized mean (μ) of 26 and a standard deviation (σ) of 7, what is the z-score for a raw score (X) of 21?
A) z = .71
B) z = -.71
C) z = .90
D) z = 1.57
Hypothesized Mean
The mean value of a population parameter that is proposed in the null hypothesis, serving as a basis for testing statistical significance against observed data.
Standard Deviation
A measure of the dispersion or variability of a set of data points, quantifying how much the values differ from the mean.
- Evaluate and clarify the significance of z-scores for distinct observations in a standard distribution.
Verified Answer
AT
Akane TsunemoriJun 20, 2024
Final Answer :
B
Explanation :
To find the z-score, we use the formula:
z = (X-μ)/σ
Plugging in our values, we get:
z = (21-26)/7 = -0.71
Therefore, the z-score for a raw score of 21 is -0.71.
z = (X-μ)/σ
Plugging in our values, we get:
z = (21-26)/7 = -0.71
Therefore, the z-score for a raw score of 21 is -0.71.
Learning Objectives
- Evaluate and clarify the significance of z-scores for distinct observations in a standard distribution.