Question

A variable of a population has a mean of μ=100 and a standard deviation of σ=35. a.

The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean________ and standard deviation_______?

Answer 1

Formulas: 1) Ifu, o are the mean and standard deviation of the population. If we take N samples out of the population then Mean of the distribution of the sample mean is μ. = μ standard deviation of the distribution of the sample mean is os = Given that Normal distribution with mean= u = 100 standard deviation= 0 = 35 N = 49 Is = u = 100 os = = 35 35 = 5 .. sampling distribution of the sample mean for sample size of 49 approximately normally distributed with mean 100 and standard deviation 5.