K The acceptable level for insect filth in a certain food item is 3 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 = 3.7 insect fragments per ten-gram portion. Complete parts (a) through (c) below. O B. The sampling distribution of x is approximately normal because the population is normally distributed. O C. The sampling distribution of x is assumed to be approximately normal. O D. The sampling distribution of x is approximately normal because the population is normally distributed and the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of x assuming u = 3 and o = 13? Hy = 3 (Round to three decimal places as needed.) 6: = 0.274 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 3.7 insect frac Question Viewer P(x23.7) = (Round to four decimal places as needed.)