Games for the iPad have a distribution of prices that is skewed right.

a) Explain why this is what you would expect.

b) Members of the iPad gamers club each own about 50 games. Pat is one such member. What would you expect the shape of the distribution of game prices on her iPad to be?

c) Each club member computes the average price of his or her games. What shape would you expect the distribution of these averages to have?

Why is this what you would expect?

A.

Prices tend to increase as demand increases, so the distribution will be skewed to the right.

B.

Prices cannot be less than 0, but there is nothing to prevent some from being expensive, so they are likely to be skewed right.

C.

Prices tend to increase over time, so the distribution will be skewed to the right.

D.

Prices follow a Poisson distribution because price is discrete.

Part 2b) What would you expect the shape of the distribution of game prices on Pat's iPad to be?

A.

It should be nearly Normal because the sample size is large.

B.

It should be skewed to the left because people tend to buy more inexpensive games.

C.

It should be less skewed to the right compared to the population distribution because members of the gamers club must purchase more expensive games than a typical non-member.

D.

It should resemble the population distribution and be skewed to the right.

Part 3c) What shape would you expect the distribution of the averages to have?

A.

It should be uniform with all of the values equal to the average.

B.

It should resemble the population distribution and be skewed to the right.

C.

It should be nearly Normal because each member has around 50 games, which is large enough.

D.

It should be bimodal since people tend to buy either mostly inexpensive or expensive games.