Suppose that height is a normally distributed variable with mean of 66 inches and a standard deviation of 3 inches. You are 72 inches tall. How many standard deviations are you above the mean?

Question

Quizplus · Accepted Answer

To find the number of standard deviations above the mean, we can use the formula:

z = (x - μ) / σ

where:
- x is the observation (in this case, 72)
- μ is the mean (66)
- σ is the standard deviation (3)

Substituting the values, we get:

z = (72 - 66) / 3 = 2

So you are 2 standard deviations above the mean. Therefore, the answer is (C).

Suppose That Height Is a Normally Distributed Variable with Mean