Question

A company's cereal boxes advertise that 9.65 ounces of cereal are contained in each box. In fact, the amount of cereal in a randomly selected box follows a normal distribution with mean LaTeX: \muμ = 9.70 ounces and standard deviation LaTeX: \sigmaσ = 0.03 ounces. A quality control worker selects a random sample of 5 cereal boxes. What is the standard deviation LaTeX: \sigma_{\frac{ }{x}}σ x(in ounces) of this sampling distribution?

Answer 1

The standard deviation of the sampling distribution σₓ = 0.013

Explanation:

Explanation:-

Mean of the Population μ = 9.70 ounces

Standard deviation of the Population σ = 0.03 ounces

Given size of random sample 'n' =5

The standard deviation of the sampling distribution

σₓ = σ/√n

`S.D = (0.03)/(√(5) ) = 0.013`