Honest Juans is a used car dealer in the area There are six

Honest Juan\'s is a used car dealer in the area. There are six car sales representatives at the dealership. The sales for the last six months for the sales reps are as follows:

Ernie Banks - 54     Juan Marchial - 50    Willie Mays - 52    Duke Snider - 58    

Elston Howard - 48   Bob Gibson - 50

d. What is the mean of the population? What is the mean of the sample means?

e. What is the shape of the population distribution?

f.   What is the shape of the distribution of the sample means?

Solution

d)

mean population       54+50+52+58+48+50    /   6   = 52

mean of the sample means    52

e)

is a normal distribution because we have the data like a gaussian bell

we have few data to the left and right, and there are more in central ( mean)

f)

the sample means will be the same shape of the distribution

applying central limit theorem we know that the samples always will have a normal distribution behavior