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

Study-3) As we have to test average so

13) We use t-test for means

14) The null and the alternative hypothesis are

$H_1: \mu <3$ and  $H_0: \mu =3$

15) The value of the test static is given by

$t={\bar{x}-\mu \over s/\sqrt{n}}={2.12-3\over 1.19/\sqrt{31}}\approx -4.12$

16) The test is one tailed test and number of degrees of freedom is

31-l= 30

So P-value is

Pr(t < -4.12) 0.0001

As P-value is very small

We reject the null hypothesis

17) Not applicable

18) So by t test there is enough evidence to support the claim that sample mean is smaller than what is predicted.