Question

The acceptable level for insect filth in a certain food item is 55 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 overbarxequals=5.2 insect fragments per​ ten-gram portion. Complete parts ​(a) through ​(c) below.

B. What is the mean and standard deviation of the sampling distribution of x overbar assuming μ=5 and σ = square root of 5?

Answer 1

Solution :

Given that,

The sampling distribution of mean is ,

= 5

The sampling distribution of standard deviation is ,  

= / n = 5 / 40 = 0.3536