Expert Answers

Part 1:

You make your living as an egg rancher and have an extensive operation consisting of two large barn units (Barn #1 and Barn #2), with each barn housing three different sizes of chicken (small, medium, and large). You want to analyze your operation to see if there are any differences that might be affecting the rate of egg production from the chickens.

a) t-test:

b) One-way ANOVA:

c) Two-way ANOVA:

Part 2:

The table depicts a two-way ANOVA in which gender has two groups (male and female), marital status has three groups (married, single never married, divorced), and the means refer to happiness scores (n = 100):
a. What is/are the independent variable(s)? What is/are the dependent variable(s)?

b. What would be an appropriate null hypothesis? Alternate hypothesis?

c. What are the degrees of freedom for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance?

d. Calculate the mean square for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.

e. Calculate the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status.

f. Identify the critical Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status.

g. If alpha is set at .05, what conclusions can you make?

Part 3:

A study wants to examine the relationship between student anxiety for an exam and the number of hours studied. The data is as follows:
Student Anxiety Scores    Study Hours

5                                        1
10                                      6
5                                        2
11                                      8
12                                      5
4                                        1
3                                        4
2                                        6
6                                        5
1                                        2
Why is a correlation the most appropriate statistic?

What is the null and alternate hypothesis?

What is the correlation between student anxiety scores and number of study hours? Select alpha and interpret your findings. Make sure to note whether it is significant or not and what the effect size is.

How would you interpret this?

What is the probability of a type I error? What does this mean?

How would you use this same information but set it up in a way that allows you to conduct a t-test? An ANOVA?