Q To this point you have learned about several different statistical tests. • Z test • Independent samples t test • Dependent/Paired samples t test • Single sample t test • Correlation coefficient. Indicate below which test statistic you would use in each scenario and why. 1. A researcher wants to see whether caloric intake before an exam is associated with test performance. She asks people what they had for breakfast before a test and estimates calories from that. She has their test scores from that exam. What statistic would she use to test a hypothesis consistent with her research question? 2. A researcher collected some test score data from a sample in Arizona. He wants to see whether the mean of the sample is different from the population value in NYC. What statistic would he use to test a hypothesis consistent with his research question? 3. A researcher thinks that people will do better on tests after they have a small meal. First, he asks people to take a test on one morning without eating. The next morning, they come back, eat a granola bar, and take an equivalent test. What statistic would he use to test a hypothesis consistent with his research question? 4. A researcher knows that a sample’s mean on some test is M. They want to see whether that mean is different from some population value ?, with population SD = ?. What statistic would they use to test a hypothesis consistent with their research question? 5. A researcher thinks that people will do better on tests after they have a small meal. First, he asks one class to take a test without eating. The next morning, he asks a second class to eat a granola bar and then take an equivalent test. What statistic would he use to test a hypothesis consistent with his research question?