Name: Date: PSYC 3402 Take-home Exam 3 Part 1: Determine the best hypothesis test to recommend for each scenario presented below. Use the following tests as recommendations: lOne sample 2 test, One sample I test, Independent samples rtest, Dependent samples I test. [I point each): 1) A study was performed to test whether cars get better mileage on premium gas than on regular gas. Each of 10 cars was rst lled with either regular or premium gas, decided by a coin toss. and the mileage for that tank was recorded. The mileage was recorded again for the same cars using the other kind of gasoline. 2) A researcher predicted that the Dunder Mi'lin Paper Company makes more sales than the average paper company in the United States. To test this, the researcher collects the sales data from a small sample of 6 Dunder Mifflin employees and compares this to the nationa] average of sales 'om similar paper companies. 3} A professor theorizes that students who chew gum during an exam perform better than students who do not chew gum. To test this theory, the professor uses his class of 2C! students, who at random, will take a test without any gum, and a test with chewing gum Test grades from both samples are given below. Does chewing gum during an exam increase a student's perfonnance'? 4} Dr. Saxon is teaching Introductory Piano this year at University of Texaszrownsville. After attending a music seminar on neurosciencebased practice techniques for learning to play instruments, he wanted to see if these new techniques would he worth implementing into his future classes. To investigate, Dr. Saxon took 2 different sections of his fall Introductory Piano course (each containing 12 freshman music majors with no prior piano experience), and taught one section using traditional practice techniques and taught the other using the new neuroscience-based practice techniques 5) To test the effects of cartoons on cognitive functioning, a researcher assigns 15 children to watch 3|] minutes of .Sloongebob Squat-spouts, and 15 more children to color for El] minutes. The research then tests all children on the same cognitive functioning task. 6} A researcher who studies the amount of hours that students get a day wanted to know if college students who had an assignment due would sleep less than if they did not have any assignments due. The researcher picked T random students from the PSYC 3402 class and had them write down the amount of sleep they got {in hours} when they did not have an assignment due, and then the amount of sleep they got [in hours} when they were given an assignment, which had to be completed the same day it was given out