Please I need the formulas, step by step, not excel step and I need the graphical handwriting, please.

Rather than separating these questions out by topic, I have incorporated everything together. This is

to give you practice identifying which test is the proper test to use, when you are given a problem.

Depending on the test, you may have to determine various notations before we can run the test (i.e.

in ANOVA calculating G, N, k, X², SS for each group, Mean for each group, etc.)

1. The data in the table below were obtained from an independent-measures experiment designed

to examine people's preferences for viewing distance of a 42-inch high-definition television.

Four viewing distances were evaluated, 9 feet, 12 feet, 15 feet, and 18 feet, with a separate group

of participants tested at each distance. Each individual watched a 30-minute television program

from a specific distance and then completed a brief questionnaire measuring their satisfaction

with the experience. One question asked them to rate the viewing distance on a scale from 1

(Very Baddefinitely need to move closer or farther away) to 7 (Excellentperfect viewing

distance). Determine any significant differences among the four viewing distances that were

tested. =.05

9 feet	12 feet	15 feet	18 feet
3	4	7	6
0	3	6	3
2	1	5	4
0	1	4	3
0	1	3	4

a. What is the proper test to analyze if there are significant differences among the four

viewing distances? (Independent Samples T-test, Dependent Samples T-test, or ANOVA)

b. Conduct the complete hypothesis test.

c. Compute the effect size and (if necessary) any post hoc tests.

d. State all of your conclusions

2. An investigator in child development research is studying the development of object

permanence in infants. She tests three different age groups of ten infants, where each infant is

given ten trials with a toy. The number of trials on which the infant showed object permanence

is then recorded. =.05. The researcher wants to know if there are developmental differences in

object permanence at different ages.

9 months	12 months	15 months
8	10	10
3	5	8
4	6	9
6	7	9
5	6	8
4	5	7
9	10	9
2	3	6
0	3	6
1	3	8

a. Find the values for n, T, SS for each group, and Mean for each group.

b. Find the values for k, N, G, and X².

c. State the hypotheses

d. Find the critical region.

e. Find the test statistic.

f. State your effect size. State in terms of the percentage of variance accounted for

g. If there IS a significant effect, conduct post-hoc analyses using Tukey's HSD.

h. State your final conclusions including results of the hypothesis test, effect size and post-

hoc analyses.

3. Calculate Tukey's HSD and determine which pairwise comparisons are significantly different

based on the following data. =.05

4. How many factors are there in a 3x2 design? How many levels are in each factor? Draw the table

illustrating what this design would look like.

5. In the following table, (a) what does the value of 20 represent in terms of the variables? The dependent variable in this table is score on a spelling exam. (b) is there a main effect on gender? Main effect on grade level? interaction between gender and grade level?

6. Using the table below, state if there is a main effect for year in school on well-being? A main effect for

club participation on well-being? And an interaction for club participation affecting well-being depending

on year in school.

7. Draw the line graph for the data in problem 11.

8. Draw a line graph with no interaction. Draw a line graph with an interaction.

9. Does the following graph have an interaction?