Apply the Central Limit Theorem.
-A small business ships specialty homemade candies to anywhere in the world. Past
Records indicate that orders weigh an average of 118 grams with a standard deviation of
14 grams. Suppose a random sample of 50 current orders is selected and each weighed.
The sampling distribution of the sample mean weights is normally distributed with a
Mean of 118 grams and standard deviation of 1.98. We can say this because
A) the sample size is not too large.
B) the Central Limit theorem applies.
C) the Normal Probability theorem applies.
D) All of the above.
E) None of the above.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is large enough, typically n > 30, regardless of the population distribution. Here, the sample size is 50, which is sufficient for the theorem to apply.