Complete the following problems,

Question 1. The t test is used when the population standard deviation is not known.

Use the following data for problems 2 through 4 below. A researcher conducted a study, testing the effect of a new teaching method of performance on a math skills test. A sample of n = 25 adolescents was given the new teaching method for 4 weeks and then took the math skills exam. The students who received the new teaching method had an average score of M = 112 on the exam with a standard deviation of s = 20. The untreated population mean (those who did not receive the new teaching method) on the exam was p = 100. Using a two-tailed test and a = .05, test to see whether the scores on the math exam for those using the new teaching method was significantly different than the untreated population.

Question 2. The value of t for the above problem is equal ______ to and the standard error is equal to____.
.6, 20
.6, 4
3, 20
3, 4

Question 3. What are the critical values for the above problem?

± 1.708
± 1.711
± 2.060
± 2.064

Question 4. Should the null hypothesis be rejected?

Yes

No

Question 5. Which of the following values correspond to small, medium, and large effect sizes for the one sample t test for Cohen's d?

.10, .20, .30
.20, .50, .80
.25, .50, 1.00
1, 2, 3