Question

A barge carries a load of cans of paint.

Records of past trips show that the weight of cans that it carries have a mean of
82 lb. and standard deviation of 16 lb.

For samples of size 64, find the mean and standard deviation of the sampling distribution for   .

A) μ  = 16; σ  = 82

B) μ  = 82; σ  = 16

C) μ  = 82; σ  = 2

D) μ  = 2; σ  = 82

Answer 1

Solution :

Given that,

mean = = 82

standard deviation = = 16

n = 64

The sampling distribution of mean and standard deviation is ,

= 82 and

= / n = 16 / 64 = 2

= 82 ; = 2

option C) is correct