HW: Statistic questions
Question Description
1.(25 pts) A researcher wishes to know:Can a child’s health in its first two years of life be enhanced by a program that teaches expectant mothers about nutrition? Identify two independent variables and two dependent variables that would be important to measure.Briefly describe the measure you would use.Identify the level of measurement (nominal ordinal or interval) for each.
Example answer
Independent variable:Mother’s education level, measured as less than high school, high school graduate, some college, college graduate. Ordinal measure.
2.(25 pts) You are the Dean of students at a college and the President has asked for some information about how the student body has changed over the years.You have collected the following information regarding the number of students in various categories for two different graduating classes:
CHARACTERISTICS OF TWO GRADUATING CLASSES |
||
1990 |
2010 |
|
Total in class |
345 |
687 |
Females |
178 |
301 |
Attended Commencement |
99 |
458 |
Finished in 4 years |
269 |
325 |
Received financial aid |
159 |
369 |
What will you say to the president when she asks:
a.What percentage of the graduating class was female in 1990?________2010?________
b.What proportion of the graduating class attended the commencement ceremony in
2010?______
Has this proportion gone up or down since 1990 and by how much? ______
c.What percent of students received financial aid in 1990?________2010?_______
d.Write a paragraph describing the changes in the graduating classes of 1990 and 2010.
What changes seem especially important?Why?
3.(25 pts) Twenty-five people were asked about the television viewing habits.
Number of hours spent watching TV per day |
Frequency |
0 |
2 |
1 |
3 |
2 |
5 |
3 |
7 |
4 |
4 |
6 |
2 |
8 |
1 |
10 |
1 |
- Calculate the mean, median and mode for this data.
- Which measure of central tendency is the most appropriate to use in this case? Why?
- What percentage scored above a 9.0?
4.(25 pts) In a normal distribution with a mean of 7.8 and a standard deviation of 0.8
- Compute a percentile rank for the person with a score of 6.4.
- What is the score of a person with a percentile rank of 40%