please help by showing work I am trying to understand thank you

Subject ID	Encoding A		Subject ID	Encoding B
1	77		13	88
2	80		14	83
3	93		15	81
4	78		16	77
5	90		17	91
6	85		18	90
7	91		19	86
8	87		20	76
9	91		21	88
10	90		22	74
11	86		23	79
12	94		24	89

In a cognitive psychology experiment, the researcher is interested in whether the encoding condition has a significant effect on memory for a set of drawings. In encoding condition A, subjects are asked to name the object in each drawing; in encoding condition B, subjects are asked to name the color of each drawing. Then all subjects are tested on their memory of the drawings. Each recruited subject is randomly assigned to either encoding condition A or encoding condition B.

Based on memory theories, the researcher hypothesized that condition A (object naming) would lead to significantly better memory compared to condition B (color naming), and she sets the significance level at = .01 for a one-tailed test.

g. Use the pooled variance (from question f above) to calculate the variance for sampling distribution 1 (S_M1²) and the variance for sampling distribution 2 (S_M2²)

h. Calculate standard deviation (S_diffmean)of the comparison distribution

i. Calculate the t statistic

j. For the one-tailed test, find the critical t values for this hypothesis test based on the total degree of freedom (from question d above), and the preset alpha level.

k. Compare the calculated t statistic with the critical t value by stating which is more extreme, and then draw a conclusion about the hypothesis test by stating clearly reject or fail to reject the null hypothesis.

l. Calculate the pooled standard deviation for the populations (use the pooled variance calculated in question f); and then calculate the standardized effect size of this test.

m. Draw a conclusion based on the hypothesis test result and the effect size. In other words, did encoding condition have a significant effect on memory score? Was the effect small, medium, or large?