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 60 ten-gram portions of the food item is obtained and results in a sample mean of x = 3.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. (a) Why is the sampling distribution of x approximately normal? O A. The sampling distribution of x is approximately normal because the population is normally distributed. B. The sampling distribution of x is approximately normal because the sample size is large enough. 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 ando = 3? (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 60 ten-gram portions of the food item is obtained and results in a
sample mean of x = 3.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below.
(a) Why is the sampling distribution of x approximately normal?
A. The sampling distribution of x is approximately normal because the population is normally distributed.
B. The sampling distribution of x is approximately normal because the sample size is large enough.
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 =
3?
(Round to three decimal places as needed.)
Transcribed Image Text: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 60 ten-gram portions of the food item is obtained and results in a sample mean of x = 3.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. (a) Why is the sampling distribution of x approximately normal? A. The sampling distribution of x is approximately normal because the population is normally distributed. B. The sampling distribution of x is approximately normal because the sample size is large enough. 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 = 3? (Round to three decimal places as needed.)
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