The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 60 ten-gram portions of the food item is obtained and results in a sample mean of \(\bar{x}=5.7\) insect fragments per ten-gram portion. Complete parts (a) through (c) below.(a) Why is the sampling distribution of \(\bar{x}\) approximately normal?\(\mathrm{A}\). The sampling distribution of \(\bar{x}\) is assumed to be approximately normal.B. The sampling...