The acceptable level for insect filth in a certain food item is 5 insect fragmen

Question

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 50 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Why is the sampling distribution of x approximately normal? The sampling distribution of x is approximately normal because the population is normally distributed and the sample size is large enough The sampling distribution of x is assumed to be approximately normal The sampling distribution of x is approximately normal because the population is normally distributed. The sampling distribution of x is approximately no mal because the sample size is large enough what is the mean and standard deviation of the sampling distribution of x assuming mu = 5 and sigma = squareroot 5?

Explanation / Answer

The mu i.e the sample mean is correctly calculated from the population mean.the sample standard deviation will be sqrt(5)/sqrt(50)= 0.316

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