1. A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, “How many minutes per day do you typically spend reading?” The mean reading time in the sample was 89 minutes, and the margin of error for this estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?
A 40 randomly selected undergraduate psychology-degree program students
B 40 randomly selected undergraduate students from all degree programs at the college
C 300 randomly selected undergraduate psychology-degree program students
D 300 randomly selected undergraduate students from all degree programs at the college
2. Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights?
A (99.5+0.08x)+5
B 1.08(99.95x)+5
C 1.08(99.95x+5)
D 1.08(99.95+5)x
3. A company’s manager estimated that the cost C, in dollars, of producing n items is C equals 7 n plus 350. The company sells each item for $12. The company makes a profit when total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Which of the following inequalities gives all possible values of n for which the manager estimates that the company will make a profit?
A n < 70
B n < 84
C n > 70
D n > 84
4. At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve?
A m = 17
B m > 17
C m < 17
D 15 < m < 17
5. A biology class at Central High School predicted that a local population of animals will double in size every 12 years. The population at the beginning of 2014 was estimated to be 50 animals. If P represents the population n years after 2014, then which of the following equations represents the class’s model of the population over time?
A P = 12 + 50n
B P = 50 + 12n
C P = 50(2) ^ 12n
D P = 50(2) ^ n/12
6. The gas mileage for Peter’s car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car’s gas tank has 17 gallons of gas at the beginning of a trip. If Peter’s car travels at an average speed of 50 miles per hour, which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?
A f(t) = 17 - 21 / 50t
B f(t) = 17 - 50t / 21
C f(t) = (17 - 21t) / 50
D f(t) = (17 - 50t) / 21
7. When a scientist dives in salt water to a depth of 9 feet below the surface, the pressure due to the atmosphere and surrounding water is 18.7 pounds per square inch. As the scientist descends, the pressure increases linearly. At a depth of 14 feet, the pressure is 20.9 pounds per square inch. If the pressure increases at a constant rate as the scientist’s depth below the surface increases, which of the following linear models best describes the pressure p in pounds per square inch at a depth of d feet below the surface?
A p = 0.44d + 0.77
B p = 0.44d + 14.74
C p = 2.2d - 1.1
D p = 2.2d - 9.9
Questions Retrieved from: Collegeboard.org