Question

This is the data analysis using technology part of the Midterm. Use Minitab or a graphing calculator to accomplish this assignment. You can copy and paste the data into a Minitab worksheet to run the analysis. If you use a graphing calculator, take a screen shot or a picture of the calculator output.

The table below is a sample data set from 50 people. Carefully read and answer the following questions:

1. (2pts) Make a Normal Probability Plot (Graph-Probability Plot-Single) for Income. Does the distribution of income appear to be Normal?
2. (1pt) Report the separate five number summary of income for each gender (STAT-Basic stat-Descriptive Stat-By (gender).
3. (1pt) Make two parallel boxplots for each gender (Graph-boxplot, choose One Y-with groups, use Income as graphing variable and Gender as grouping variable).
4. (3pts) From the boxplots in #3, compare the shapes, measure of center (name one), and measure of variation (name one) of the distributions of income of males and of females. Are there any outliers?
5. (3pts) Name and make an appropriate graph to determine whether Income and Age have a relationship. What can you say about their relationship from this graph?

Income($K)	Gender	Age
84	m	42
49	m	33
8	m	25
233	m	57
85	m	42
340	m	56
461	m	48
60	m	39
28	m	22
97	m	37
14	m	26
211	m	34
18	m	30
16	m	23
24	m	31
346	m	45
254	m	29
29	m	40
286	m	57
6	m	26
31	m	32
104	m	37
72	m	29
29	m	38
391	m	53
19	f	22
125	f	36
10	f	24
25	f	37
17	f	25
72	f	30
31	f	25
23	f	22
260	f	62
72	f	37
5	f	21
61	f	24
366	f	42
77	f	33
8	f	21
26	f	27
22	f	38
55	f	42
138	f	30
158	f	32
146	f	41
123	f	38
47	f	27
21	f	26
82	f	50

Answer 1

We use Minitab to solve this question,

Pvalue = 0.005 < 0.05 therefore distribution of income doesnot appear to be normal
From box plot Shape of income varible by gender doesnot apper to normal. Boths are skewed towards up means their distribution is left tailed.
From Scatter plot there is positive relationship between income and age.