Team Marketing Report (TMR) produces the Fan Cost Index™ (FCI) survey, now in its 16th year, which tracks the cost of attendance for a family of four at National Football League (NFL) games. The FCI includes four average-price tickets, four small soft drinks, two small beers, four hot dogs, two game programs, parking, and two adult-size caps. The league’s average FCI in 2008 was $396.36. The file titled NFL Price is a sample of 175 randomly chosen fans’ FCIs.
a. Produce a relative frequency histogram for these data. Does it seem plausible the data were sampled from a population that was normally distributed?
b. Calculate the mean and standard deviation of the league’s FCI.
c. Calculate the 90th percentile of the league’s fans’ FCI.
d. The San Francisco 49ers had an FCI of $376.71. Determine the percentile of the FCI of a randomly chosen family whose FCI is the same as that of the 49ers’ average FCI.