Q3. Paired-samplesttest (8 points)

In a cognitive psychology experiment, the researcher is interested in whether encoding condition has an effect on memory for a list of words. She recruits 15 subjects to participate in the experiment. Each subject comes to the lab twice to be tested in two different encoding conditions and their memory performance scores are listed below. The researcher would like to leave the hypothesis non-directional without predicting which encoding condition would lead to better memory, and she sets the significance level at = .05 for a two-tailed test.

Subject ID	Encoding A	Encoding B
1	177	176
2	189	193
3	185	188
4	178	175
5	181	176
6	186	184
7	193	191
8	190	187
9	187	179
10	182	178
11	179	176
12	188	181
13	186	190
14	188	187
15	194	193

Q3a. Identify the dependent variable (this is the outcome measure) and the independent variable (this is what differentiates the two groups of data points being compared).(1 point total: .5 for DV, .5 for IV)

Q3b. What would be the null and alternative hypotheses in both words and symbol notations?(1 point total: .5 for each hypothesis. Both written form and symbol notation need to be correct to get the .5 point for the hypothesis)

	Written	Symbolic Symbol bank for copy & pasting: =<>
Null		H0:
Alternative		H1:

Perform the steps below to get the t statistic for the sample(Round results to the hundredth (2^nd place to the right of the decimal) when a result extends beyond that):

Q3c. Calculate the mean of the difference scores.(1 point: .5 if process is correct but answer is wrong)

Q3d. Estimated population standard deviation. (1 point: .5 if process is correct but answer is wrong)

Q3e. Standard error. (1 point: .5 if process is correct but answer is wrong)

Q3f. Calculatedtstatistic. (1 point: .5 if process is correct but answer is wrong)

With the calculated t statistic, perform the following steps to conclude the hypothesis test.

Q3g. Criticaltvalue(.5 point)

Q3h. Make a decision about the hypothesis test, stating explicitly "reject" or "fail to reject" accordingly.(.5 point)

Q3i. Calculate the standardized effect size of this hypothesis test. (1 point: .5 if process is correct but answer is wrong)