Chapters 1 4 Test Review Packet

Name: Date:

Probability & Statistics – Ms. D’AmatoBlock:

Chapters 1 – 4 Test Review Packet

For questions #1 &#2, in each description of data, identify the W’s. Name the variables and tell whether they are quantitative or categorical. For each quantitative variable name its unit of measure.

1.)Medical researchers at a large city hospital investigating the impact of prenatal care on newborn health collected data from 882 births during 1998-2000. They kept track of the mother’s age, the number of weeks the pregnancy lasted, type of birth (cesarean, induced, natural), the level of prenatal care the mother had (none, minimal, adequate), the birth weight and sex of the baby, and whether the baby exhibited health problems (none, minor, major).

• Who:

• Cases:

• What:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Where:

• When:

• Why:

• How:

2.)A survey of autos parked in student and staff lots at a large university recorded the make, country of origin, type of vehicle (car, van, SUV, etc.) and age.

• Who:

• Cases:

• What:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Variable:

• Type:

Units:

• Where:

• When:

• Why:

• How:

Categorical vs. Quantitative

For questions #3-8, classify the following variables as quantitative or categorical.

3.)Gender

4.)Age

5.)Time

6.)Length

7.)Model of a car

8.)Region of a country

9.)Define ordinal variables.

10.)Define identifier variables and provide examples.

Bar Charts and Pie Charts:

11.) Using the soft drink information above, make a bar chart of the cases sold.

12.) Now construct a pie chart of the market share using the soft drink information above.

Contingency Tables:

13.)The table below is Census Bureau data on the years of school completed by Americans of different ages. Many people under 25 years of age have not completed their education, so they are left out of the table.

Years of school completed, by age, 2000 (thousands of persons)

Answer the following questions. Show all work and round to the nearest tenth.

a.) What is the percent of people 25 years of age or older who have at least 4 years of college?

b.) What is the marginal distribution of education level in percents?

c.) What is the percent of people who are 25 to 34?

d.) What percent of people aged 25 to 34 have completed 4 years of college?

e.) What is the percent of people in the 55 and over age group who completed 4 or more years of college?

f.) Find the conditional distribution of education level among 35 to 54-year-olds in percents.

Histograms:

14.)Here are the weights (in pounds) of 20 steers on an experimental feed diet:

14013614217215317215670167

166113171178159129112135174

Create a histogram of the data. Please use 10 bins.

• Is the data unimodal, bimodal, or uniform?

• Is the histogram symmetric, skewed left, or skewed right?

• Are there any outliers?

Stem-and-Leaf Display:

15.)Using the same information from #14, create a stem-and-leaf display of the data.

16.)The U.S. Food and Drug Administration limitsthe amount of caffeine in a 12-ounce can of carbonated beverage to 72 milligrams (mg). Data on the caffeine content of popular soft drinks are provided below. Create a split cell stem-and-leaf display of the data.