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In: Statistics and Probability

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 247...


A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 247 milligrams with s = 16.8 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

Solutions

Expert Solution

The formula for constructing confidence interval for the true population mean, is given by

Given:

sample size,

sample mean,

sample standard deviation,

For 95% confidence, , then the critical value is,

Calculation for 95% confidence interval for

So the 95% confidence interval for the true mean cholesterol content in all such eggs is calculated as .

i.e.,

orchestra answered 1 year ago
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