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AP Stats Unit 1 Practice Test

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Name the sampling method:

Interview every 10th student who enters the school in the morning.

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

2.

Name the sampling method:

Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected.

a)

systematic

b)

simple random sample

c)

convenience

d)

Self - selected (volunteer)

3.

Name the sampling method:

Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 30 students who come into her class.

a)

Convenience Sampling

b)

Systematic Random Sampling

c)

Simple Random Sampling

d)

Volunteer response

4.

An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 1 block and survey all households on that block.

This is an example of:

a)

Simple Random Sample

b)

Stratified Random Sample

c)

Cluster Random Sample

d)

Systematic Random Sampling

5.

Name the sampling method:

The president of a college randomly selects 2 students from each department to serve on a student advisory board.

a)

Convenience

b)

Systematic

c)

Stratified

d)

Simple Random

6.

All of the following are elements of a good experimental design EXCEPT

a)

A control treatment

b)

A random sample

c)

multiple treatments

d)

A single group of people

7.
A report in a medical journal notes that the risk of developing Alzheimer's disease among subjects who regularly opted to take Ibuprofen was about half the risk among those who did not.  Is this good evidence that Ibuprofen is effective in preventing Alzheimer's?
a)
Yes, because the study was a randomized, comparative experiment
b)
No, because the effect of Ibuprofen is confounded with the placebo effect
c)
No, because this is an observational study.  An experiment would be needed to confirm (or not confirm) the observed effect.
d)
Yes, because a 50% reduction can't hapen just by chance
8.

Which of the following is true based on the graph?

a)

The number of men who preferred sports is greater than the number of women who preferred sports.

b)

The number of women who preferred dance is greater than the number of men who preferred dance.

c)

The proportion of women who preferred TV is greater than the proportion of men who preferred TV.

d)

The proportion of men who preferred sports is greater than the proportion of women who preferred sports.

9.

Which of these is NOT part of a 5 number summary?

a)

maximum

b)

mean

c)

median

d)

Q1

e)

minimum

10.

Your company has developed a new treatment for acne. You think men and women might react differently to the medication, so you seperate them into two groups. Then the men are randomly assigned to two groups and the women are randomly assigned to two groups. One of the two groups is given the medication and the other is given a placebo. The basic design of this study is

a)

completely randomized

b)

blocked by gender

c)

completely randomized, blocked by gender

d)

randomized, blocked by gender and type of medication

e)

a matched pairs design

11.

Which of the following is true of an experiment but not for an observational study?

a)

A cause-and-effect relationship can be more easily inferred

b)

The cost of conducting it is excessive

c)

More advanced staitstics are needed for analysis after the data are gathered

d)

By law, the subjects need to be informed that they are part of a study

e)

Possible confounding variables are more difficult to control

12.

A study showed that persons who ate two carrots a day had significantly better eyesight than those who ate less than one carrot a week. Which of the following statements is (are) correct?

I. This study provides evidence that eating carrots contributes to better eyesight

II. The general health consciousness of people who eat carrots could be a confounding variable

III. The is an observational study and not an experiment

a)

I only

b)

III only

c)

I and II only

d)

II and III only

e)

I, II, and III

13.

The term used to describe the bias that occurs if some segment of a population is systematically excluded from a sample is

a)

Undercoverage

b)

Response Bias

c)

Nonresponse Bias

d)

Voluntary Response Bias

e)

Convenience Sampling

14.

In order to estimate the proportion of students at a college who spend more than 2 hours per day on Facebook, a random sample of students at the college is selected and each student is interviewed about his or her use of Facebook. The students conducting the survey are worried that people who spend a lot of time on Facebook might be embarrassed to admit it and that their response to the survey might not be honest. What type of bias are the students conducting the survey worried about?

a)

Undercoverage

b)

Nonresponse bias

c)

Response Bias

d)

Bias due to confoudning

e)

They shouldn't worry, there is no obvious source of bias

15.

A company wanted to determine the child care costs of its employees. A sample of 25 employees were interviewed and their child care expenses for the previous year were determined. Later, the company discovered that the highest expense in the sample was mistakenly recorded as 5 times the actual amount. However, after correcting the error, the correct amount was still greater than or equal to any other expense in the sample. Which of the following sample statistics must have remained the same after the correction was made?

a)

standard deviation

b)

mean

c)

mode

d)

range

e)

median

16.

The graph shows the distribution of scores of 30 students on a mathematics test. Based on the histogram, which statement must be true?

a)

The lowest test score is 41%.

b)

The highest test score is 100%.

c)

The mean test score is between 81% and 90%.

d)

The median test score is not greater than 80%.

e)

The lower quartile of the test scores is greater than 60%.

17.

The segmented bar charts below depict the data from the NAAL (National Assessment of Adult Literacy) conducted in 2003. Based on the graph, which statement must be true.

a)

The prose literacy level with the greatest percentage of people who volunteered once per week or more was below basic.

b)

For people with proficient prose literacy level, the number who volunteered once per week or more was greater than the number who volunteered less than once per week.

c)

Intermediate and proficient prose level had the same number of students who volunteered less than once per week.

d)

Of all the students that never volunteered, the greatest number were in the below basic level of prose literacy.

e)

For students who had basic prose literacy level, the number who volunteered less than once per week was greater than those who never volunteered.

18.

The boxplots summarize two data sets, 1 and 2. Which of the following must be true?

I. Class #2 contains more data than Class #1.

II. The box of Class #2 contains more data than the box of Class #1.

III. The data in Class #1 has a smaller range than the data in Class #2.

a)

I only

b)

I and III only

c)

I and II only

d)

I, II, and III

e)

III only

19.

The boxplots above summarize two data sets, A and B.

Which of the following must be true?

 

I. Set A contains more data than Set B.

II. The box of Set A contains more data than the box of Set B.

III. The data in Set A have a larger range than the data in Set B.

a)

I only

b)

III only

c)

I and II only

d)

II and III only

e)

I, II, and III

20.

A random sample of 374 United States pennies was collected, and the age of each penny was determined.

According to the boxplot below, what is the approximate interquartile range (IQR) of the ages?

a)

8

b)

10

c)

16

d)

40

e)

50

21.

The histogram below displays the frequencies of waiting times, in minutes, for 175 patients in a dentist's office.

Which of the following could be the median of the waiting times, in minutes?

a)

2.5

b)

7.25

c)

12.25

d)

15

e)

17.50

22.

The histogram above shows the number of minutes needed by 45 students to finish playing a computer game.

Which of the following statements is correct?

a)

The distribution is skewed to the right.

b)

The distribution is skewed to the left.

c)

The distribution appears to be normal.

d)

The distribution appears to be chi-square.

e)

The distribution appears to be uniform.

23.

Which of the following histograms has a shape that is approximately uniform?

a)

b)

c)

d)

e)

24.

Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are given in the picture.

Which of the following statements must be true for these customers?

a)

At least half of the customers spent less than or equal to $44.27 and at least half spent greater than or equal to $44.27.

b)

Seventy-five percent of the customers spent between $36.27 and $58.97.

c)

Twenty-five percent of the customers spent less than or equal to $58.97 and the remaining 75 percent spent greater than or equal to $58.97.

d)

The mean amount spent by customers is $44.27.

e)

A majority of customers spent $44.27.

25.

The back-to-back stem-and-leaf plot below gives the percentage of students who dropped out of school at each of the 49 high schools in a large metropolitan school district.

Which of the following statements is NOT justified by these data?

a)

The drop-out rate decreased in each of the 49 schools between the 1989-90 and 1992-1993 school years.

b)

For the school years shown, most students in the 49 schools did not drop out of high school.

c)

In general drop-out rates decreased between the 1989-90 and 1992-1993 school years.

d)

The median drop-out rate of the 49 high schools decreased between the 1989-90 and 1992-1993 school years.

e)

The spread between the schools with the lowest drop-out rates and those with the highest drop-out rates did not change much between the 1989-90 and 1992-1993 school years.