1. ANOVA:
UMUC wants to use a new tutorial to teach the students about business ethics. As an experiment the administrator randomly selected 15 students and randomly assigned them to one of three groups which include either a PowerPoint presentation created by the faculty, AuthorGen Presentation created by the faculty, or a well known tutorial by the ABC company. After completing their assigned tutorial, the students are given a Business Ethics test. At the .01 significance level, can UMUC conclude that there is a difference between how well the different tutorials work for the students?
Note: (Here is a good website where you can find the f table for significance level .01 https://www.socr.ucla.edu/Applets.dir/F_Table.html#FTable0.01)
|
PowerPoint Tutorial (X1)
|
AuthorGen Tutorial (X2)
|
ABC Tutorial (X3)
|
|
68
|
79
|
75
|
|
85
|
86
|
83
|
|
91
|
82
|
78
|
|
87
|
92
|
86
|
|
88
|
91
|
81
|
2. Pivot Table
ASPCA wanted to find out if there was a relationship between the type of animals preferred and the gender of the owner. They gathered data from 50 randomly chosen pet owners who owned either one cat or one dog:
|
gender
|
type
|
gender
|
type
|
|
female
|
cat
|
male
|
cat
|
|
male
|
dog
|
female
|
cat
|
|
male
|
dog
|
male
|
cat
|
|
male
|
dog
|
female
|
dog
|
|
female
|
cat
|
female
|
cat
|
|
female
|
cat
|
female
|
dog
|
|
female
|
dog
|
male
|
cat
|
|
female
|
cat
|
male
|
dog
|
|
male
|
dog
|
male
|
dog
|
|
female
|
dog
|
male
|
dog
|
|
female
|
dog
|
male
|
cat
|
|
male
|
dog
|
female
|
dog
|
|
male
|
cat
|
female
|
cat
|
|
male
|
cat
|
male
|
dog
|
|
female
|
dog
|
female
|
cat
|
|
female
|
cat
|
female
|
cat
|
|
female
|
cat
|
male
|
cat
|
|
female
|
cat
|
female
|
cat
|
|
female
|
dog
|
male
|
dog
|
|
male
|
cat
|
female
|
dog
|
|
male
|
dog
|
male
|
cat
|
|
male
|
cat
|
female
|
dog
|
|
male
|
dog
|
male
|
cat
|
|
male
|
dog
|
male
|
cat
|
|
female
|
dog
|
male
|
dog
|
Use Excel's capabilities to create a pivot table that shows the number of pets owned by each gender.
3. Chi Square:
Use the pivot table from problem 1 to find the Chi Square value and give the interpretation based on a .01 significance level. Is there are relationship between the sex of the owner and the type of pet they prefer?
Here is a website with a chi square table:
https://sites.stat.psu.edu/~mga/401/tables/Chi-square-table.pdf
Chi Square:
A human resources director wants to find out if there is a relationship with the day of the week and the number of times employees were sick on that day. She tallied the number of times 60 employees were absent on these days:
Monday: 12
Tuesday: 9
Wednesday: 11
Thursday: 10
Friday: 9
Saturday: 9
Using a significance level of .05 and the Excel function, =chiinv(), find the critical value.
a) What is the chi square value for this scenario?
b) Use the answer to b and the =chidist() equation in Excel to find the p value.
c) Is there a relationship between the days of the week and the number of employees who are sick on that day?