Question

The mean size of candy bars from one candy maker is 39.0 grams with a standard deviation of 2.3 grams. If you produce a sampling distribution of sample means using samples of size 40 from the candy production line, what would be the mean of the sampling distribution? What is the standard deviation of the sampling distributions of the sample means?

Answer 1

Solution :

Given that ,

mean = = 39.0

standard deviation = = 2.3

n = 40

sample distribution of sample mean is ,

=

= 39.0

sampling distribution of standard deviation

=  / n = 2.3/ 40=0.3637

= 0.3637