Download Semester Review

Intro to Stats 2nd Semester Study Guide
Name:____________________________
Study Guide Situation: This data shows the birth rates (number of births per thousand population) and the
GNP (in thousands of dollars per capita) for a random selection of countries from around the world.
Birthrate and GNP
Birthrate and GNP
Country
Birthrate...
GNP
GNPori...
Country Birthrate...
GNP
GNPori...
1
Algeria
18.9
1.72
11
1720
Israel
18.9
16.02
16020
2
Argentina
17.7
4.22
12
4220
Japan
9.6
34.01
34010
3
Australia
12.7
19.53
13
19530
Malaysia
24.2
3.54
3540
4
Brazil
18.1
2.83
14
2830
Mexico
22.3
5.92
5920
5
Denmark
12
30.26
15
30260
Nigeria
39.2
0.3
300
6
Egypt
24.9
1.47
16
1470
Pakistan
32.8
0.42
420
7
France
12.7
22.24
17
22240
Philippines
26.8
1.03
1030
8
Germany
8.8
22.74
18
22740
Spain
10
14.58
14580
9
India
23.8
0.47
19
470
11.1
25.51
25510
10
Indonesia
21.9
0.71
710
11
Israel
18.9
16.02
16020
United Ki...
Part I. Analyze the birth rates for the sample of countries by doing the following:
1. Compute the following statistics:
a. Minimum: _______________
b. Maximum: _______________
c. Range: _______________
d. Q1: _______________
e. Median
f. Q3: _______________
g. Mean: _______________
h. Standard Deviation: _______________
i. Outliers: _______________
2. Sketch the boxplot for the birth rates:
Intro to Stats 2nd Semester Study Guide
Name:____________________________
3. Sketch the histogram for the birth rates:
4. Use your information from 1 – 3 above to describe the shape, center, and spread of the distribution
for the birth rates of these countries:
Part II. Analyze the GNP for the sample of countries by doing the following:
5. Compute the following statistics:
a. Minimum:
_______________
b. Maximum:
_______________
c. Range:
_______________
d. Q1:
_______________
e. Median
_______________
f. Q3:
_______________
g. Mean:
_______________
h. Standard Deviation: _______________
i. Outliers:
_______________
6. Sketch the boxplot for the GNP for the sample of countries:
Intro to Stats 2nd Semester Study Guide
Name:____________________________
7. Sketch the histogram for the GNP for the sample of countries:
8. Use your information from 5 - 7 above to describe the shape, center, and spread of the distribution for
the GNP for the sample of countries:
Part III. Use your inference procedures and the birth rate/GNP data on page 1 to do the following (be sure to
give the name of the procedure you are using, comment on whether the conditions for your procedure
are met, and describe your conclusion in context):
9. Compute a 95% CI for the proportion of all countries in the world that have a higher birth rate than
GNP.
10. Is there significant statistical evidence that the mean birth rate in all countries in the world is greater
than 19 births per thousand?
Intro to Stats 2nd Semester Study Guide
Name:____________________________
11. Is there significant statistical evidence that there is a mean difference in the birth rate and GNP in
countries world wide?
Part IV. Analyze the relationship between birth rate and GNP:
12 Sketch a scatterplot of the data and calculate the correlation coefficient.
13. Describe why you think there is or is not a linear relationship between birth rate and GNP, based on
your answer to 12 only!
14. Calculate the LSRL to predict the GNP for countries of the world:
a. LSRL Equation:
___________________________
b. Slope:
_______________
c. Intercept:
_______________
d. R2:
_______________
Intro to Stats 2nd Semester Study Guide
Name:____________________________
15. Is there statistical evidence of a linear relationship between birth rate and GNP (DO a Test of
Significance!)?