Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable
sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10-point multiple choice test over the material. Their scores follow: Table Constant sound Random Sound No Sound 7 5 2 4 5 4 6 3 7 8 4 1 6 4 2 6 7 1 2 2 5 9 2 5 1. State the type of statistical test that you will use to conduct your hypothesis test.
You will use the ANOVA test, which is a test that compares the means of more than 2 samples. Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.
*This test only tells us if the means are equal, it won't say which is greater than the other. You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.
Answer: X = -1 and Y = 3 ————————————— X + Y = 2 X = 2 - Y ———————— Y = x + 4 Y = 2 - Y + 4 2Y = 2 + 4 2Y = 6 Y = 3 ———————— X + Y = 2 X + 3 = 2 X = -1
