1) Define Descriptive Statistics and name at least 5 measures of Descriptive Statistics.
2) Review the set of numbers below:
17, 20, 23, 24, 24, 26, 28, 30, 33, 41 (sample)
Calculate the following:
a. Mean
b. Median
c. Mode
d. Standard Deviation
3) A) What are z-scores and the purpose of its use?
B) Provide an example of its use. Do not use example from this week's lecture or from the book.
4) The grades on a chemistry midterm at Talladega College are normally distributed with M=78 and σ = 6.2. John scored 72 on the exam.
A) Find the z-score for John's exam grade.
B) Round to two decimal places.
C) What does this answer mean?
5) A) What is a One-Sample t-Test and the purpose of its use?
B) Provide an example of its use.
6) The data below is a sample of wages from a retail store. The retail industry claims that the average wage for its employees is $15/hr.
A) Enter the data below in excel and perform the One-Sample t-Test calculation with a .05 Alpha.
B) Show all the output values and interpret the results.
|
Wages/hr
|
|
$12.00
|
|
$15.00
|
|
$18.00
|
|
$11.00
|
|
$12.50
|
|
$14.75
|
|
$16.00
|
|
$17.00
|
|
$13.25
|
|
$14.00
|
7) A) Explain the Pearson Correlation. B) Provide an example (not from the book) of when this analysis method would be used.
8) The frequency distribution of ages of people who attend music concerts is given below. A) Create a Histogram chart from the data. B) What can we deduce from the chart?
|
Ages
|
20 -25
|
25-30
|
30-35
|
35-40
|
40-45
|
45-50
|
|
Frequency
|
12
|
9
|
10
|
8
|
4
|
1
|
9) A random sample of seven college students is selected, and each student is given both a math and science test. Their scores are as follows:
| Student |
Math |
Science |
| 1 |
15 |
13 |
| 2 |
5 |
6 |
| 3 |
16 |
14 |
| 4 |
10 |
13 |
| 5 |
11 |
11 |
| 6 |
3 |
5 |
| 7 |
12 |
10 |
A) Test at the .05 significance level whether test score on math and science are related.
B) What is the correlation coefficient?
C) What is the direction and strength of the relationship?
D) What is the critical value of r?
10) A) Define the relationship between the variables in the problem above based on your findings.
B) What does it allmean in the context of the problem?