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. OB. The sampling distribution of x is approximately normal because the population is normally distributed. OC. The sampling distribution of x is assumed to be approximately normal. OD. 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 = 3 and = 3? = 3 (Round to three decimal places as needed.) 0 = 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 fra P(x3.7)=(Round to four decimal places as needed.) Question Viewer