Bonnaroo is a four-day music festival held every summer in Tennessee since 2002.
ID: 3271803 • Letter: B
Question
Bonnaroo is a four-day music festival held every summer in Tennessee since 2002. Suppose the mean attendance for the festival is 83, 767 people with a standard deviation of 3, 089. Assume the number of people attending the festival is normally distributed. Use the Empirical Rule to answer parts a - c: a. Organizers of the festival can expect between and people to attend the festival 95% of the time. b. Approximately % of festivals will be attended by less than 77, 589 people. c. If attendance this year is in the top 2.5%, then the attendance would be or more people. d. Mumford & Sons was one of the headline acts this year, and organizers anticipated a high attendance. An attendance of 95, 000 people would be standard deviations the mean. (In the first box, you should enter the standardized value rounded to 3 decimal places. In the second box, enter one of the following two words: above or below.)Explanation / Answer
a)
95% of data 2 SD from mean, hence
83767 +/- 2*3089 = 77589 and 89945
b)
77589 is 2 SD from mean, hence (100 -95)/2 = 2.5%
c)
Top 2.5% means more 2 SD, hence 83767 + 2*3089 =89945
d)
z=(95000-83767 )/3089 =3.636
3.636 SD above