1) 3/8 of a neighborhoods residents vote to plant roses at the front entrance. 2/9 vote to plant roses and peonies. What fraction of those who vote for roses also vote for peonies?

a)1/12

b)11/72

c)16/27

d)43/72

 

2) A two year study of high school students in the 1980's found that the times it took boys and girls to run one mile were roughly normally distributed. An average boy took 7:40 minutes with a standard deviation of 55 seconds and an average girl took 9:15 minutes with a standard deviation of 1:10 minutes.

Debra took 12:11 minutes to run the mile, while Henry took 9:55 minutes to run the mile. Which student performed better than their peers and why?

a)Henry performed better since he had the fastest time.

b) Since one is a boy and one is a girl you cannot compare their times. You can only compare boys to boys and girls to girls.

c)Debra performed better. She is exactly 2 standard deviations above the mean while Henry is more than 2 standard deviations above the mean.

d) Both were above the mean so neither performed better than their peers. They would have to have been below the mean to have performed better.

 

3) Gwen notices in her class that females are more likely to pass attest if the test falls on a Tuesday through Friday with a review day before the test whereas males are more likely to pass a test if the test falls on a Monday. She gives a test on Monday to her class of 10 girls and 8 boys and the overall pass rate was an 83.3%. Of the 15 that passed the test 6 were boys.

To see if this is unusual she took 10 red cards and 8 black cars, shuffled them and dealt a pile of 15 cards. Recording the number of red cards in her pile. She repeated 100 times.

Which model should be used to see if there is a difference in the two treatment effects?

a) paired t-test

b) paired z-test

c) two sample t-test

d) two sample z-test

 

4) Henry is playing with a standard deck of cards what is the probability that the next card he flips over is a jack or red?

a) 0.04

b) 0.08

c) 0.46

d) 0.54

 

5) An athletic apparel manufacture randomly selects 200 high school varsity basketball players. A mean height of 6.18 feet is calculated with a margin of error for a 99% confidence interval of ±0.15.

What is the interval estimate of the population mean?

a) 5.97<µ<6.27

b) 5.97<µ<6.39

c) 6.00<µ6.30

d) 6.03<µ6.33