How much fat do reduced fat cookies typically have? You take a random sample of 51 reduced-fat cookies and test them in a lab,finding a mean fat content of 3.2 grams and a standard deviation of 1.1 grams of fat.Create a 99% confidence interval for the mean grams of fat.

A) (2.80,3.60)
B) (3.14,3.26)
C) (2.79,3.61)
D) (2.78,3.62)
E) (2.10,4.30)

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Chase Standridge · Accepted Answer

Final Answer : C, Explanation :  The 99% confidence interval is calculated using the formula: mean ± (critical value * (standard deviation/sqrt(n))). For a 99% confidence level and n=51, the critical value (z-score) is approximately 2.576. Plugging in the values: 3.2 ± (2.576 * (1.1/sqrt(51))) gives the interval (2.79, 3.61).

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