Question

50 apples from an orchard are randomly selected. a mean apple diameter of 2.22 inches is calculated with a margin of error of ±0.13 for a 95% confidence interval. what is the interval estimate of the population mean? a 1.99 < μ < 2.23 b 2.09 < μ < 2.35 c 2.09 < μ < 2.22 d 2.10 < μ < 2.34 e 2.22 < μ < 2.35

Explanation:

Step1: Calculate lower - bound

Subtract margin of error from sample mean. $2.22−0.13 = 2.09$.

Step2: Calculate upper - bound

Add margin of error to sample mean. $2.22 + 0.13=2.35$.

Answer:

B. $2.09<\mu<2.35$