Question

Below are descriptions of some research studies. Each description contains sufficient information to determine the correct statistical test to use. Your task is 1) to determine which is the correct test, 2) to perform that test using our five-step hypothesis testing procedure, and 3) to make a decision about the null hypothesis using the results of the test. Choose your tests from these options: single-sample i test dependent-measures / test independent-measures t test Please report your answers in the following format: a. What is the name of the test to be performed? dependent-measures t test b. Hypotheses: _H: H, #4, H: 1, = H, c. What is the value of the test statistic for these data? t = 2.37 d. At a = .05 two-tailed, what is the statistical decision? reject H e. What is the effect size for this test? d=0.88 f. Write an APA style sentence that describes the outcome of this test: Dependent measures t test revealed that the participants remembered significantly more words using visual imagery (M = 22.72, SD = 2.88) than rote rehearsal (M = 18.92, SD = 1.97), t(22) = 2.37, p<.05 two-tailed, d = 0.88.

Answer 1

7. Dependent measures t-test

8. H₀: μ₂-μ₁ < 0

H₁: μ₂-μ₁ > 0

9. Test statistic: t = M_D/(SS_D/n^0.5) = 1.1/(14.78/8^0.5) = 0.21

10. p-value (Using Excel fuunction T.DIST.RT(t,n-1)) = T.DIST.RT(0.21,8-1) = 0.42

Decision: Do not reject H₀ (Since p-value is more than level of significance = 0.05)

11. Effect size: d = M_D/SS_D = 1.1/14.78 = 0.07

12. Dependent measures t-test revealed that PSYC students do not tend to perfom better on Test 4 (M=7, S =1.11) compared to their performance on Test 3 (M=8.01, S=1.11), t(7) = 0.21, p > 0.05 one-tailed, d = 0.07