The mean height of women in the United States is 63.5 inches with a standard deviation of 2.5 inches. Calculate the z-score for Alayna’s height of 57 inches.
The z-score formula is:
z = (x - μ) / σ
where:
x = Alayna's height = 57 inches
μ = mean height of women = 63.5 inches
σ = standard deviation = 2.5 inches
Plugging in the values:
z = (57 - 63.5) / 2.5
z = (-6.5) / 2.5
z = -2.6
Therefore, the z-score for Alayna's height of 57 inches is -2.6.