In: Statistics and Probability
The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x overbarequals2.7 insect fragments per ten-gram portion.
Complete parts (a) through (c) below.
(a) Why is the sampling distribution of x overbar approximately normal?
A. The sampling distribution of x overbar is approximately normal because the population is normally distributed. B. The sampling distribution of x overbar is approximately normal because the population is normally distributed and the sample size is large enough. C. The sampling distribution of x overbar is assumed to be approximately normal. D. The sampling distribution of x overbar is approximately normal because the sample size is large enough.
Option - D) The sampling distribution of is approximately normal because the sample size is large enough.