A laboratory tested 60 chicken eggs and found that the mean amount of cholesterol was 241 milligrams with s = 14.7 milligrams.Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

A) (237.3,244.7)
B) (231.5,248.6)
C) (231.7,250.3)
D) (233.4,248.6)
E) (231.7,250.5)

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Summer Cassidy · Accepted Answer

Final Answer : A, Explanation :  To construct the confidence interval, we can use the formula:CI = x̄ ± t*(s/√n)where x̄ is the sample mean (241), s is the sample standard deviation (14.7), n is the sample size (60), and t is the t-value corresponding to a 95% confidence level with 59 degrees of freedom (since n-1 = 59).Using a t-table or calculator, we can find that the t-value is approximately 2.002. Substituting these values into the formula, we get:CI = 241 ± 2.002*(14.7/√60)CI = (237.3,244.7)Therefore, the best choice is A) (237.3,244.7) as it is the correct confidence interval for the true mean cholesterol content of all such eggs with a 95% confidence level.

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