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

ashitjha
question_eps525_assignment3_q4.doc

EPS 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:

image1.wmf

SD

Mean

d

=

or
image2.wmf

N

t

d

=

FORMCHECKBOX

image3.wmf

SD

Mean

d

=

= / =

-OR-

FORMCHECKBOX

image4.wmf

N

t

d

=

= - /
image5.wmf
=

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

image6.wmf

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

image7.wmf

Paired Samples Correlations

40

.295

.065

Baseline & OneWeek

Pair 1

N

Correlation

Sig.

image8.wmf

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

Page – 3

_1303886606.unknown

_1303886608.unknown

_1303886609.unknown

_1303886607.unknown

_1303886605.unknown