Question

an athletic apparel manufacturer randomly selects 200 high school varsity basketball players. a mean height of 6.18 feet is calculated with a margin of error of ±0.15 for a 99% confidence interval. what is the interval estimate of the population mean? a 5.97 < μ < 6.27 b 5.97 < μ < 6.39 c 6.00 < μ < 6.30 d 6.03 < μ < 6.33 e 6.10 < μ < 6.26

Explanation:

Step1: Calculate lower - bound

Subtract margin of error from sample mean. $6.18 - 0.15=5.97$

Step2: Calculate upper - bound

Add margin of error to sample mean. $6.18+0.15 = 6.33$

Answer:

The confidence interval is $5.97<\mu<6.33$, so the answer is B. $5.97<\mu<6.39$ (closest option)