How much fat do reduced fat cookies typically have? You take a random sample of 50 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.Have the conditions and assumptions for inference been met?

A) No,the sample is not likely to be representative.
B) No,we have sampled more than 10% of the population.
C) No,the sample is not big enough to satisfy the Nearly Normal Condition.
D) Yes,all conditions and assumptions are reasonably assumed to be met.
E) No,it is not a random sample.

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Julienne Alyssa C. CABEJE · Accepted Answer

Final Answer : D, Explanation :  All the conditions and assumptions for inference have been met:1. Random Sample: It is given that the sample of 50 cookies is a random sample.2. Independent: We assume that each cookie in the sample is independent of the others, which is usually reasonable if they are chosen at random.3. Nearly Normal Condition: The sample size is large enough to assume that the sampling distribution of the sample mean is approximately normal, by the Central Limit Theorem. Additionally, we can assess this condition using a histogram or a normal probability plot, or by checking for extreme outliers or skewness, which have not been mentioned in the problem statement.4. Sample Size Assumption: The sample size is greater than or equal to 30 (n = 50), which is typically sufficient for inference even if the population distribution is unknown or non-normal.

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