The mean of a sampling distribution of a sample with proportion, p and sample size, n is given by [tex]\mu=np[/tex].
The standard deviation of a sampling distribution of a sample with proportion, p and sample size, n is given by [tex]\sigma= \sqrt{np(1-p)} [/tex]
Given that the
manufacturers of m&m's claim that 20% of the milk chocolate m&m
candies are orange. The proportion is p = 0.2
The mean of the
sampling distribution of the sample proportion of orange m&m's for
samples of size 100 is given by [tex]\mu=100(0.2)=20[/tex]
The standard deviation of the
sampling distribution of the sample proportion of orange m&m's for
samples of size 100 is given by [tex]\sigma= \sqrt{100(0.2)(1-0.2)} = \sqrt{16} =4[/tex]
