A person was able to go on 6 rides that entire day out of the 26 rides available. In the population of all theme-park attendees, the mean number of rides gone on in a single day is 13, with a standard deviation of 4. The distribution is normal.
Two recent theme-park visitors, Regan and Jake, report the number of rides they went on in a single day: Regan = 9 rides, Jake = 15 rides.

a. As a general question: Using a z-table, what percentage of scores will fall within +/- 1
SD from the mean, within +/- 2 SD from the mean, and within +/- 3 SD from the mean?

b. What proportion of people go on more rides than Regan?

c. What proportion of people rode fewer rides than Jake?

d. What percentage of people went on more rides than
Regan, but less rides than Jake? What percentage of people fall in
between Regan and Jake’s ride count?

e. If we know that another theme park visitor goes on more rides than 80% of the
population, what would his/her corresponding z-score and raw score (number of rides
went on) be?

f. Based on what you know about the mean and standard deviation of the number of rides gone on in a single day, is there any indication that either Regan or Jake seem to fall outside of the normal range of rides gone on in a day (use a z-score = +/- 2.0 as your
cutoff) and may be exhibiting signs of extreme theme park activity? What leads you to
your claim?