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_assignment4_q6.docEPS 525 – Introduction to Statistics
Assignment No. 4 – Independent-Samples t Test
Name:
A researcher randomly selected 60 students to participate in the study. The students were randomly assigned to one of two conditions (Integrated or Traditional Courses). After the prescribed instruction, the students were given a standardized test to determine if there was a difference in the test performance between the two types of courses.
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 Independent-Samples t Test.
H0:
Ha:
2. (3 points) Has the assumption of independence been met for this data?
FORMCHECKBOX YES or FORMCHECKBOX NO (check your answer selection)
Justify/explain your answer – that is, how did you come to your conclusion?
3. (4 points) Has the assumption of normality been met for this data? Use an alpha (() level of .001 looking at the Shapiro-Wilks test to justify your answer.
FORMCHECKBOX YES or FORMCHECKBOX NO (check your answer selection)
Justify/explain your answer – that is, how did you come to your conclusion? (Hint: look at the SPSS printout). Be sure to show all applicable values and symbols.
4. (3 points) Has the assumption of homogeneity of variance been met for this data? Use an alpha (() level of .05 looking at the Levene’s Test for Equality of Variances.
FORMCHECKBOX YES or FORMCHECKBOX NO (check your answer selection)
Justify/explain your answer – that is, how did you come to your conclusion? (Hint: look at the SPSS printout). Be sure to show all applicable values and symbols.
5. (4 points) After computing the test statistic (t-test) – complete the following tables for the Independent-Samples t-Test ( Do not round – use the values from SPSS):
|
Condition |
N |
Mean |
Standard Deviation |
Standard Error of the Mean |
|
Integrated Course |
|
|
|
|
|
Traditional Course |
|
|
|
|
|
t |
df |
Sig. (2-tailed) |
Paired Mean Difference |
95% CI of the Difference Lower Upper |
|
|
|
|
|
|
|
|
6. Using an alpha (() level of .05, interpret the results from the Independent-Samples t Test regarding the group means:
6.a. (1 point) Did you reject the null hypothesis (from Question 1) in favor of the alternative?
FORMCHECKBOX YES or FORMCHECKBOX NO (check your answer selection)
6.b. (3 points) Justify your answer, that is, how did you come to your conclusion? DO NOT make reference to the t critical value or the confidence intervals. Be sure to include all applicable values and symbols for this method.
If applicable (or indicate otherwise, and why), calculate the Effect Size – be sure to show your work.:
2
1
2
1
N
N
N
N
t
d
+
=
=6.c. (3 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 include all applicable values and symbols. Also provide the statistical strand.
T-Test
Assignment No. 4
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