Free Printable Test 1

1.

This scenario applies to Questions 1 and 2:

A study was done to compare the lung capacity of coal miners to the lung capacity of farm workers. The researcher studied 200 workers of each type. Other factors that might affect lung capacity are smoking habits and exercise habits. The smoking habits of the two worker types are similar, but the coal miners generally exercise less than the farm workers.

Which of the following is the explanatory variable in this study?

a)

Exercise

b)

Lung capacity

c)

Smoking or not

d)

Occupation

2.

This scenario applies to Questions 1 and 2 :

A study was done to compare the lung capacity of coal miners to the lung capacity of farm workers. The researcher studied 200 workers of each type. Other factors that might affect lung capacity are smoking habits and exercise habits. The smoking habits of the two worker types are similar, but the coal miners generally exercise less than the farm workers.

Which of the following is a confounding variable in this study?

a)

Exercise

b)

Lung capacity

c)

Smoking or not

d)

Occupation

3.

This scenario applies to Questions 3 to 4 :

A randomized experiment was done by randomly assigning each participant either to walk for half an hour three times a week or to sit quietly reading a book for half an hour three times a week. At the end of a year the change in participants' blood pressure over the year was measured, and the change was compared for the two groups

This is a randomized experiment rather than an observational study because:

a)

Blood pressure was measured at the beginning and end of the study.

b)

The two groups were compared at the end of the study.

c)

The participants were randomly assigned to either walk or read, rather than choosing their own activity.

d)

A random sample of participants was used.

4.

This scenario applies to Questions 3 to 4 :

A randomized experiment was done by randomly assigning each participant either to walk for half an hour three times a week or to sit quietly reading a book for half an hour three times a week. At the end of a year the change in participants' blood pressure over the year was measured, and the change was compared for the two groups

The two treatments in this study were:

a)

Walking for half an hour three times a week and reading a book for half an hour three times a week.

b)

Having blood pressure measured at the beginning of the study and having blood pressure measured at the end of the study.

c)

Walking or reading a book for half an hour three times a week and having blood pressure measured.

d)

Walking or reading a book for half an hour three times a week and doing nothing.

5.

What is one of the distinctions between a population parameter and a sample statistic?

a)

A population parameter is only based on conceptual measurements, but a sample statistic is based on a combination of real and conceptual measurements.

b)

A sample statistic changes each time you try to measure it, but a population parameter remains fixed.

c)

A population parameter changes each time you try to measure it, but a sample statistic remains fixed across samples.

d)

The true value of a sample statistic can never be known but the true value of a population parameter can be known.

6.

Which one of the following variables is not categorical?

a)

Age of a person.

b)

Gender of a person: male or female.

c)

Choice on a test item: true or false.

d)

Marital status of a person (single, married, divorced, other)

7.

Which one of these statistics is unaffected by outliers?

a)

Mean

b)

Interquartile range

c)

Standard deviation

d)

Range

8.

A list of 5 pulse rates is: 70, 64, 80, 74, 92. What is the median for this list?

a)

74

b)

76

c)

77

d)

80

9.

Which of the following would indicate that a dataset is not bell-shaped?

a)

The range is equal to 5 standard deviations.

b)

The range is larger than the interquartile range.

c)

The mean is much smaller than the median.

d)

There are no outliers

10.

The following histogram shows the distribution of the difference between the actual and “ideal” weights for 119 female students. Notice that percent is given on the vertical axis. Ideal weights are responses to the question “What is your ideal weight”? The difference = actual −ideal. (Source: idealwtwomen dataset on CD.)

What is the approximate shape of the distribution?

a)

Nearly symmetric.

b)

Skewed to the left.

c)

Skewed to the right.

d)

Bimodal (has more than one peak)

11.

The following histogram shows the distribution of the difference between the actual and “ideal” weights for 119 female students. Notice that percent is given on the vertical axis. Ideal weights are responses to the question “What is your ideal weight”? The difference = actual −ideal. (Source: idealwtwomen dataset on CD.)

The median of the distribution is approximately

a)

−10 pounds

b)

10 pounds

c)

30 pounds

d)

50 pounds

12.

The following histogram shows the distribution of the difference between the actual and “ideal” weights for 119 female students. Notice that percent is given on the vertical axis. Ideal weights are responses to the question “What is your ideal weight”? The difference = actual −ideal. (Source: idealwtwomen dataset on CD.)

Most of the women in this sample felt that their actual weight was

a)

about the same as their ideal weight.

b)

less than their ideal weight.

c)

greater than their ideal weight.

d)

no more than 2 pounds different from their ideal weight.

13.

What term would best describe the shape of the given boxplot:

a)

a) Symmetric

b)

Negetively Skewed

c)

Positively skewed

d)

Uniform

e)

Normal

14.

We have seen that outliers can produce problematic results. Rank the following measures in order or “least affected by outliers” to “most affected by outliers”.

a)

mean, median, range

b)

median, mean, range

c)

range, median, mean

d)

median, range, mean

e)

range, mean, median

15.

Consider the result of a fictional Stat 100 final exam taken by 120 students, as given in the following relative frequency distribution

How many students received at least a 70 on this exam?

a)

54

b)

45

c)

25

d)

30

e)

66

16.

According to the empirical rule, approximately what percentage of normally distributed data lies within one standard deviation of the mean?

a)

59%

b)

68%

c)

72%

d)

95%

e)

99.7%

17.

The median age of the children is...

a)

29

b)

28.2

c)

30.5

d)

28.5

e)

31

18.

The interquartile range for this data set is...

a)

8

b)

12

c)

16

d)

20

e)

24

19.

The standard deviation of the age of children is...

a)

41.24

b)

11.33

c)

10.20

d)

6.24

e)

6.42

20.

Which of the following statements are true?

I. The median age is between 24 and 25.

II. The mean age is between 22 and 23.

III. The mean age is greater than the median age.

a)

I only

b)

II only

c)

III only

d)

All are true

e)

None is true

21.

Which of the following statements are true?

I. The range of the math scores equals the range of the verbal scores.

II. The highest math score equals the median verbal score.

III. The verbal scores appear to be roughly symmetric, while the math scores appear to be skewed to the right.

a)

I only

b)

III only

c)

I and II

d)

II and III

e)

I, II, and II

22.

Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs above 130 is:

a)

95%

b)

68%

c)

5%

d)

2.5%

23.

A parameter is:

a)

a sample characteristic

b)

normal normally distributed

c)

unknown

d)

a population characteristic

24.

A statistic is: a.

a)

normally distributed

b)

unknown

c)

a population characteristic

d)

a sample characteristic

25.

A national random sample of 20 ACT scores from 2010 is listed below. Calculate the sample mean and standard deviation.

29, 26, 13, 23, 23, 25, 17, 22, 17, 19, 12, 26, 30, 30, 18, 14, 12, 26, 17, 18

a)

20.50, 5.79

b)

20.50, 5.94

c)

20.85, 5.79

d)

20.85, 5.94

26.

The histogram above represents the lifespan of a random sample of a particular type of insect. Determine the relationship between the mean and median.

a)

mean = median

b)

mean ≈ median

c)

mean < median

d)

mean > median

27.

Calculate the mean number of children per family for the sample from the following table.

a)

1.91

b)

2.47

c)

3.14

d)

2.19

28.

calculate the standard deviation.

a)

1.46

b)

1.45

c)

2.10

d)

2.17

Test 1

Total questions: 28

Worksheet time: 1hrs 24mins

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