Average height of men is normally distributed with a mean of 62 inches and a standard deviation of 2 inches. Determine the z-score for a man with a height of 67 inches.

Answer:the z-score for a man with a height of 67 inches is 2.5

Step-by-step explanation:

Since the average height of men is normally distributed, we would apply the formula for normal distribution. It s expressed as

z = (x - u) / s

Where

x = height of men

u = mean height

s = standard deviation

From the information given,

u = 62 inches

s = 2 inches

We want to determine the z-score for a man with a height of 67 inches.

For x = 67,

z = (67 - 62) / 2 = 2.5