Statistical Questions Assignment

1. Briefly explain the difference between player ability and player performance.
2. Suppose Dustin Pedroia is a 0.300 hitter. That is, his true probability of getting a hit on a
single at-bat is 0.300. We represent his batting ability with a spinner shown below with a HIT
area of 0.300.
Pedroia comes to bat 12 times over the weekend. We can simulate 12 at-bats for Pedroia by
spinning the spinner 12 times and counting the number of times the spinner lands in the HIT
region. We repeated this process 20 times and below are the number of hits that we
observed for these 20 weekends.
4, 2, 5, 8, 1, 5, 5, 0, 2, 4, 5, 1, 2, 7, 3, 2, 3, 3, 2, 3
a. Construct a frequency table of these hit numbers and put your counts in the table below:
Number of
hits
0 1 2 3 4 5 6 7 8 9 10 11 12
Counts
b. What is the most frequent number of hits Pedroia gets?
c. Find the probability Pedroia gets five or more hits over the weekend.
3. Open the MLB_Attendance_2005_2019.xlsx spreadsheet containing data on attendance per
game for each MLB ballclub compared from 2005 to 2019. In this 14-year span, the average
attendance per game actually decreased from 31396 to 28666, a 2730 person decrease,
which one can postulate is attributed to a gradual sense of disinterest in our national
pastime. Is this average attendance decrease statistically significant? Complete and show
your work in the Excel spreadsheet provided.