Question

A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ = 19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs. Question 15 options:

A) 224 mg < μ < 232 mg

B) 223 mg < μ < 231 mg

C) 225 mg < μ < 233 mg

D) 223 mg < μ < 232 mg

Answer 1

Solution :

Given that,

Sample size = n = 82

Z/2 = 1.96

Margin of error = E = Z/2* ( /n)

= 1.96 * (19.0 / 82)

Margin of error = E = 4

At 95% confidence interval estimate of the population mean is,

- E < < + E

228 - 4 < < 228 + 4

224 < < 232

224 mg < < 232mg

option A) is correct