The acceptable level for insect fifth in a certain food items is 4 insect fragme

Question

The acceptable level for insect fifth in a certain food items is 4 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^OverBar = 4.9 insect fragments per ten-gram portion Complete parts (a) through (c) below. Why is the sampling distribution of x^OverBar is assumed to be approximately normal? The sampling distribution of x^OverBar assumed to be approximately normal. The sampling distribution of x^OverBar approximately normal because the sample size is large enough. The sampling distribution of x^OverBar approximately normal because the population is normally distributed The sampling distribution of x^OverBar approximately normal because the population is normally distributed and the sample size is large enough. What is the mean and standard deviation of the sampling distribution of x^OverBar assuming mu = 4 and sigma = Squareroot 4? mu_x = __

Explanation / Answer

(a) The sampling distribution of x-bar is approximately normal because the sample size is large enough

(b) x-bar = 4 and x-bar = 2/50 = 0.283

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