Question

Use the confidence interval, (36.482, 41.352), to answer the questions.

0. What is the margin of error, E?

1. What is the sample mean, x?

2. Let c = 0.99, σ = 3.7, and E = 2.2. What is the minimum sample size, n, needed to estimate μ

Answer 1

margin of error, E =(41.352-36.482)/2=2.435

sample mean, x =(41.352+36.482)/2=38.917

2)

for 99 % CI value of z=	2.576
standard deviation σ=	3.70
margin of error E =	2.2
required sample size n=(zσ/E)2                                         =	19.0