Cracking the SAT (Redesigned) Math w/Calculator
By mgmayorga, Updated
For Dr. Carroll's SAT/ACT Prep class. This is a project.
Hey, everybody! Who's ready to solve some Math problems?
1. The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?
A. 2999m+261j> or equal to 1,000 B. 299m+261j>1,000 C. 299/m+261/j> or equal to 1,000 D. 299/m+261/j>1,000
Introduction to presentation.
Oh. The answer to the first question is A. 299m+261j> or equal to 1,000.
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?
Sample Question 1
Answer explanation: Choice A is correct. Multiplying the number of cups of milk and juice by the amount of calcium each cup contains gives the total amount of calcium from each source. The student must then find the sum of these two numbers to find the total amount of calcium. Because the question asks for the calcium from these two sources to meet or exceed the recommended daily intake, the sum of these two products must be greater than or equal to 1,000.
Sample Question 2
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
Answer explanation: The answer is Choice C because increasing the sample size while randomly selecting participants from the original population of interest will most likely result in a smaller margin of error.
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