1) 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 9:51 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 preformed better.

2) Which polynomial equation is a valid identity?

A) [(3x + 9)(2x)]^{2} = 36x(x^{2} + 6x + 9)

B) [(3x + 9)(2x)]^{2} = 6x^{2}(x^{2} + 6x + 9)

C) [(3x + 9)(2x)]^{2} = 36x^{2}(x^{2} + 6x + 9)

D) [(3x + 9)(2x)]^{2} = 12x^{2}(x^{2} + 6x + 9)

3) Gwen notices in her class that females are more likely to pass a test 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 cards, 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) Marty opened a savings account to deposit a portion of his monthly salary. Without considering interest earned, his savings account is modeled by the function f(x) = 300x + 500. How much money did Marty initially deposit?

A) Marty’s initial deposit was $0.

B) Marty’s initial deposit was $300.

C) Marty’s initial deposit was $500.

D) Marty’s initial deposit was $800.

5) Restrict the domain of f(x) = |x − 3|^{2} + 2 on which the function is invertible.

A) {x ∈ R | x ≥ 3}

B) {x ∈ R | x ≥ 2}

C) {x ∈ R | x ≥ 0}

D) {x ∈ R | x ≥ −3}

6) 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

7) A dairy company surveys 1,000 families and establishes that the mode of the data for the number of weekly household trips to the grocery to buy milk is 3. Kyle does his own study by asking 30 households how many trips each makes weekly to buy milk. The mode for his data is 1. How can Kyle get his survey statistics to more closely resemble that of the dairy company’s survey statistics?

A) Survey less families.

B) Survey more families.

C) Survey restaurants to see how many times milk is delivered.

D) Survey the same families to see if their habits have changed.