EPS - 525 - Assignments 3, 4 and 5 (Total 19 Questions with Multiple Parts problems included)-Dependent Sample t test, Independent Sample T test and One-Way ANOVA
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question_eps525_assignment3_q4.docEPS 525 – Introduction to Statistics
Assignment No. 3 – Dependent-Samples t Test
Name:
A researcher conducted a study using a randomly selected group of 40 students, giving them all a standardized performance evaluation (ranging from 0 – 10) to establish a baseline score – then had them all attend a one-week training program – then administered a second standardized performance evaluation to see if the training program had made a significant difference in the students’ average performance.
Data Output for this Assignment is found on the last page.
The gray boxes for your answers will expand as necessary for your responses.
1. (4 points) State (using symbols and words) the null hypothesis and the alternative hypothesis for the Dependent-Samples t Test.
H0:
Ha:
2. (3 points) Complete the following tables for the Baseline / One-Week Dependent-Samples t-Test ( Do not round – use the values from SPSS):
|
Performance |
N |
Mean |
Standard Deviation |
Standard Error of the Mean |
|
Baseline |
|
|
|
|
|
One-Week |
|
|
|
|
|
t |
df |
Sig. (2-tailed) |
Paired Mean Difference |
Paired Standard Deviation |
95% CI of the Difference Lower Upper |
|
|
|
|
|
|
|
|
|
3. (2 points) Using the Table of Critical Values of Student’s t Distribution – what would the t critical value (tcrit) be for the Baseline / One-Week Dependent-Samples t-Test:
4. Using an alpha (() level of .05, interpret the results from the Baseline / One-Week Dependent-Samples t Test:
4.a. (1 point) Did you reject the null hypothesis in favor of the alternative hypothesis?
FORMCHECKBOX YES or FORMCHECKBOX NO (check your answer selection)
4.b. (6 points) Justify your answer, that is, how did you come to your conclusion? Make reference to any two of the three methods of determination. Be sure to include all applicable values for the methods that you choose.
If applicable (or indicate why not), calculate the Effect Size – show your work. If applicable, use:
SD
Mean
d
=
orN
t
d
=
FORMCHECKBOX
SD
Mean
d
=
= / =-OR-
FORMCHECKBOX
N
t
d
=
= - /4.c. (4 points) Briefly discuss your findings (i.e., what do the results indicate or mean). Be sure to make reference to the group means and effect size (if applicable). Be sure to show all applicable values and symbols including the statistical strand for the results.
T-Test
Paired Samples Statistics
6.38
40
1.917
.303
7.20
40
2.267
.358
Baseline
OneWeek
Pair
1
Mean
N
Std. Deviation
Std. Error
Mean
Paired Samples Correlations
40
.295
.065
Baseline & OneWeek
Pair 1
N
Correlation
Sig.
Paired Samples Test
-.825
2.500
.395
-1.625
-.025
-2.087
39
.043
Baseline - OneWeek
Pair 1
Mean
Std. Deviation
Std. Error
Mean
Lower
Upper
95% Confidence
Interval of the
Difference
Paired Differences
t
df
Sig. (2-tailed)
Assignment No. 3
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