28. Basketball Tickets Can you afford the price of an NBA ticket during the regular season? The website www.answers.com indicates that the low prices are around $10 for the high up seats while the court-side seats are around $2000 to $5000 per game and the average price of a ticket is $75.50 a game.7 Suppose that we test this claim by selecting a random sample of n550 ticket purchases from a computer database and find that the average ticket price is $82.50 with a standard deviation of $75.25.

a. Do you think that x, the price of an individual regular season ticket, has a mound-shaped distribution? If not, what shape would you expect?

b. If the distribution of the ticket prices is not normal, you can still use the standard normal distribution to construct a confidence interval for m, the average price of a ticket. Why?

c. Construct a 95% confidence interval for m, the average price of a ticket. Does this confidence interval cause you support or question the claimed average price of $75.50? Explain.