The researcher is interested in if the encoding condition has a significant effect on memory. In encoding condition A, subjects are asked to name the object; in encoding condition B, subjects are asked to name the color of the drawings. Afterwards all subjects are tested on their memory. Each selected subject is randomly assigned to either encoding condition A or encoding condition B.

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.

Hint: each subject is tested in BOTH condition A and condition B, while each subject here is tested in only ONE condition (either A or B).

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

1. Calculate all three df₁, df₂, and df_total

Total Degrees of Freedom: Dftotal = df1 + df2

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

Total degree of freedom=

Since this is a directional test it is a one-tailed test

Level of significance = 0.05

Look on T chart

3. Compare the calculated tstatistic with the critical tvalue 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.

Q1L. Effect Size -

4. Calculate the pooled standard deviation for the populations (use the pooled variance calculated in question f)

Pooled standard deviation for the population

Pooled Standard Deviation: Spooled^2 =? Spooled

S_pooled²? 2.6602

5. Calculate the standardized effect size of this test.

The standardized effect size of the test =

d= (M-m)/s *Sample Mean =M *Population Mean =m *Effect size =d *Estimated Population Standard Deviation =s

6. 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?

7. Was the effect small, medium, or large?

explain why?

T CHARTS

\fF Table (3 pages) Table A-3 Cutof Scores for the FDistribution Demom- Sign- Numerator Degrees of Freedom inator licance Level 11 22 4 052 5.000 5.404 5.625 5.764 5,839 .05 162 200 216 225 230 234 .10 49 5 57.2 99 00 98.17 93.26 94.30 EE 65 .05 18.51 15 00 1917 1933 10 8.53 0.16 9.24 3.29 9 33 .01 34.12 30 82 29. 4 24.71 28.24 27 9 .05 10.13 9 55 9.24 9.12 9.01 .10 5.54 5.39 6.34 1.31 5.28 21 20 18 00 16.70 15.10 15.52 15.21 105 7.71 695 6.50 8 16 10 1.55 4 33 1.19 4.11 1.05 4 01 5 .01 16.26 13 27 12.06 11.39 10.87 1087 6.61 6 79 5.41 4.19 6.08 4.95 .10 378 3.62 3.52 3.45 3.41 .01 13.75 1093 9.15 R 47 .05 5.99 5.14 4.76 4.53 1.39 4 28 .10 3.78 3.48 3.29 3.18 3.11 3.06 01 12 25 9.55 8 45 7.46 7.19 05 5.59 4.74 4.35 4.12 3.97 3.47 -10 3.26 3.OR 2.06 2.85 2.83 01 11.28 8.85 7.58 7.01 6.83 8.37 6.32 3.84 10 3.46 311 2 92 7.81 2.73 2.67 01 10.56 5.02 6.99 8.42 6.06 5.80 .05 5.12 4.25 3.86 3.63 3.45 3.37 -10 3.36 3.01 281 2/69 261 2.55 01 10.06 7.68 6.55 6.00 5.64 5.39 05 457 4.10 3.71 3.49 3.33 3.72 10 3.29 2.83 2.73 2.61 252 2.48 11 .01 9.65 7.21 6.22 6.67 3.32 5.07 05 1.85 3.95 3.59 3.36 3.20 3.10 .10 3.20 2. DE 2.86 2.54 245 2.19 01 9.33 5.95 5.41 S.07 4.32 05 1.75 3.89 3.48 3.26 3.11 3.00 -10 3.18 2.81 2.61 2.40 240 2.23 13 01 9 07 6.70 5.74 5.21 4.85 4.62 05 4.67 3.81 3.41 3.18 3.03 2.22 -10 3.14 2.76 2.56 2.43 2.35 2.2H 14 01 8.86 652 5.56 5 04 4 70 4 48 05 4.40 3.74 3.14 3.11 2.98 2.45 10 3.10 2.73 2.52 2.40 231 2.24Table A-3 Quit Scores for the FDistribution Denom- Sign Numerator Degrees of Freedom inator Level 1 2 3 G H.GB G.36 6.42 4.89 4 32 4.14 3.29 3.06 2.90 2.79 .10 3.07 2.70 2.48 2.27 2 21 8.53 6.23 5.29 4.77 4 44 4 20 .05 4.49 3.63 3.24 3.01 2.85 2.74 .10 SD'E 2 67 2.46 2.23 2.24 2.18 1.40 6.11 5.19 4:34 4 10 4.45 3.58 3.20 2.97 2.81 2.70 ,10 3.03 2.65 2.31 2.32 2 15 18 GEB 6.01 5.09 4.58 4.25 4 02 4.41 3.56 2.93 2.77 .10 3.01 2.12 2.42 2.29 2.20 2.13 19 .01 8.18 5.93 5.01 4.50 4.17 3.9 4:38 3.52 3.13 2.40 2.74 .10 2.90 2.61 2.40 2.27 2.18 211 20 8.10 6.85 4.94 4.43 4.10 4.35 3.49 3.10 2.47 2.71 260 ,10 2.98 2.50 2.38 2.25 2.16 2 09 21 5.78 4.17 1,04 3.81 347 3.07 2.84 2.57 10 2.06 258 2.37 2.23 2.14 2.08 22 5.72 4. 12 4.31 1.89 3.76 3.44 2.42 2. 68 2.55 10 2.06 2.56 2.35 2.22 2.13 2106 4.26 3.94 3.71 4.28 342 2.80 2.53 .10 2.04 2.55 2.34 231 212 2.05 24 7.42 5.61 4.72 4.22 3.90 3.GT 4.28 3.40 2.76 2.62 2.51 254 2.37 2.30 2.10 204 7.17 4. Fa 4.18 3.BG 4.24 3:39 2 49 2.76 2.60 2.49 ,10 253 2.18 20 26 7.72 5.53 1.64 4.14 3. 82 GUE 4.20 2.74 2.59 2.40 ,10 252 231 2.18 208 201 27 7.68 5.49 4.60 4.11 3.79 3.56 4.21 3:36 2.73 2.57 2.46 .10 2:90 251 2.30 2.17 2.07 2.01 5.45 4.57 3.75 4.20 FEE 2.9% 2.72 2. 56 2.45 10 2.60 2.50 2.29 2.16 207 2.00 (continued\fTable A-3 Call Sops for the FDistribution Denom= Signi- Numerator Degrees of Freedom inator Icance Level 2 3 4 5 6 01 4.84 4 00 352 3.00 05 4.04 2 70 2 AT 2 31 10 7.76 2.35 2 14 201 191 1.84 01 4.R7 351 371 05 2 70 2 46 2.19 10 2.35 214 200 1.83 .01 3 75 3.32 3.02 2.30 .05 3.F1 251 237 2.10 -10 2.71 2.30 205 1.95 1.85 1.78