Question

The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

Answer 1

Complete Question

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

Answer:

Center Z score = 4.5

The score is unusual

Step-by-step explanation:

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

The formula for z score is:

z = (x-μ)/σ, where

x is the raw score = 6.9feet

μ is the population mean = 6feet

σ is the population standard deviation = 0.2 feet

Hence:

Z = 6.9 - 6/0.2

Z = 0.9/0.2

Z = 4.5

Yes this score is unusual