Practice for FINAL EXAM
Math 102 / Core 143
A. Robertson
1. We have three boxes with unknown numbers in each. From each box we draw, with replace-
ment, 1000 times. From Box I we want to investigate the sum; from Box II we want to investigate
the average; from Box III we want to investigate the product. We can use the Normal curve to
approximate the results for
A) Box I only B) Box I and II only C) Box I and III only D) All three boxes
2. A student performs a hypothesis test comparing 115 samples against an established norm. She
gets a test statistics of 2.14. Which of the following is correct at a significance level of 5%?
A) The p-value is 1.6% so we conclude that our sample is different from the established norm
B) The p-value is 1.6% so we conclude that our sample is not different from the established norm
C) The p-value is 2.5% so we conclude that our sample is different from the established norm
D) The p-value is 2.5% so we conclude that our sample is not different from the established norm
3. Roll a fair 8-sided die 64 times. Find the 84th percentile for the number of threes rolled.
A) 8.00 B) 9.25 C) 10.65 D) 12.80
4. You have in your possession a biased coin which has probability of landing heads 1/3.
i) Find the chance that at least one head appears on five consecutive tosses.
A) 32.9% B) 50.0% C) 66.7% D) 86.8%
ii) Find the chance of getting exactly 8 heads out of 10 tosses.
A) 99.7% B) 30.0% C) 5.2% D) 0.3%
5. A remarkable (ficticious) study result in Norway found a correlation between a person’s IQ
and their height. The average IQ of the study group was 100 with a standard deviation of 15,
while the average height of the study group was 66 inches, with a standard deviation of 6 inches.
The remarkable results was that the researchers found a correlation coefficient of r=.3.
i) What do you predict for the height of a person in the study group with a 110 IQ?
A) 79.3 in B) 72.0 in C) 68.9 in D) 67.2 in
ii) What do you predict for the IQ of a person in the study group who is 6 feet tall?
A) 98.6 B) 104.5 C) 126.2 D) 150.0
6. A gambling game is based on a simplified roulette wheel. This wheel has two red slots, two
black slots, and one green slot. You bet $1 on red. If red shows you get back $2, otherwise you
lose your $1. Assuming each slot is equally likely, what is the approximate chance of not losing
any money on 100 spins of the wheel?
A) 2% B) 5% C) 10% D) 25%
7. Consider the box: |0,1|. We are going to draw 9 times, with replacement, and look at the
product of the draws (multiply all numbers drawn together). The chance that the product is
equal to 1 is
A) 0.2% B) 1.1% C) 97.9% D) 100%
