48) A laboratory tested twelve eggs and found that the average amount of cholesterol in each egg was 185 milligrams, with a sample standard deviation of 17.6 mg. Construct a 95% confidence interval for the mean cholesterol content in a typical egg.

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Question:

48) A laboratory tested twelve eggs and found that the average amount of cholesterol in each egg was 185 milligrams, with a sample standard deviation of 17.6 mg. Construct a 95% confidence interval for the mean cholesterol content in a typical egg.

Answers

Answer:The C.I. at 95% is 185±9.9583 or C.I.[175 to 195].Step-by-step explanation:Given:Mean =185 mgStandard deviation=17.6Total number of samples=12To Find:95% of Confidence interval .Solution:We know that formula for C.I is given by ,C.I.=mean±Z[standard deviation/Sqrt(Total no of samples)]So using all above given values we get ,Here Zscore at 95% is Z=1.96So C.I.=185±1.96[17.6/Sqrt(12)]=185±1.96[17.6/3.464]=185±1.965[5.0808]=185±9.9583In short C.I. is given as at 95% C.I.[175 to 195].

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