Ohio University Psych Statistic Experimental Methods Exam Practice

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1] If Madeline wanted to know whether or not her sample results could be generalized to the population, she would use ______ statistics. If she were summarizing the data from her sample, she would use ______ statistics.

inferential; descriptive

descriptive; inferential

inferential; quantitative

quantitative; descriptive

Professor Baker provided a set of in-depth instructional materials for half of the students (randomly determined) taking her experimental methods course. She then compared their test scores against those of the other half of the students who did not receive a set of instructional materials. What is the dependent variable in the study?

the total number of students

the test scores of the students

whether or not students got a set of instructional materials

the difficulty of the test

Dr. Trebeck is testing adults to determine the effects of 3 different music tempos on how quickly the adults are able to respond in a Jeopardy-style task. The independent variable in this study is ___________.

different music tempos

adults vs. children

time of responding (i.e., how quickly they are able to respond)

gender of the subjects

Identify the scale of measurement for eye color (blue, black, brown, green, etc.)

Interval

Ordinal

Ratio

Nominal

Identify the scale of measurement for the amount of money donated to charity in the previous tax year by one particular family.

Nominal

Ordinal

Interval

Ratio

Identify the scale of measurement for the rankings of the five top-winning horses in the Kentucky Derby (i.e., 1st place, 2nd place, 3rd place, 4th place, and 5th place).

Nominal

Ordinal

Ratio

Interval

Identify this variable as either measurement (quantitative) or categorical (qualitative):

Brand of microwave owned

Measurement (quantitative)

Categorical (qualitative)

Identify this variable as either measurement (quantitative) or categorical (qualitative):

Total daily intake of calories

Measurement (quantitative)

Categorical (qualitative)

Is this variable discrete or continuous?

Total time spent in sleep last night

Continuous

Discrete

Is this variable discrete or continuous?

Gender

Continuous

Discrete

“How many days per week do you sleep for a minimum of 8 hours per day? Circle Only One Number: 0 1 2 3 4 5 6 7”

This type of question is an example of ___________.

a closed-ended question

an open-ended question

a meta analysis

a factorial analysis

I am selecting people to call for jury duty. It’s a small county, so I place the names of everyone who is eligible in a large hat. After mixing thoroughly, I draw 37 people to call. The sampling plan that I used is ________.

systematic random sampling

stratified sampling

cluster sampling

simple random sampling

Today, Angelica took a written test designed to measure her IQ level. Her IQ score today was 125. Last week, her IQ score on the same test was 72. This particular IQ test appears to lack _____________.

reliability

validity

generalizability

bias

What is the margin of error?

the mistakes made by an experimenter during the sampling stage

the mistakes made by a researcher during the experimental stage

the overall measure of accuracy for an experiment

the measure of accuracy of a sample survey or poll

A sample made up of volunteers may be biased because ______.

the control group and the experimental group can never be equated (the margin of error is too great between the control group and the experimental group)

using volunteers is often not economical

volunteers may not be representative of the population

the control group and the experimental group are too similar

The following type of survey question is an example of _______________.

“For this survey question, please write two sentences describing your first pet.”

an closed-ended survey question

an open-ended survey question

a common pitfall when asking survey questions

an experiment that lacks reliability and validity

Difficulties — as well as disasters — can occur in sampling. Which of the following is NOT an example of either a difficulty or a disaster in sampling?

using the wrong sampling frame

not being able to contact the individuals who have been selected for the sample

getting no response or getting a volunteer response

all of the above are examples of either difficulties or disasters in sampling

Identify one of the seven pitfalls of conducting surveys for the following survey question:

“Shouldn’t former drug dealers be allowed to not vote in elections if they didn’t sell drugs to children and they were in prison for less than 25 years or they sold drugs to adults for more than 10 years, if they expressed remorse (or if they didn’t express remorse)?

Asking the uninformed

Unnecessary complexity

Ordering of questions

Confidentiality and anonymity

Validity is best described as ___________________.

a measurement that is systematically off the mark in one direction

a measurement that is systematically off the mark in both directions

a measurement that actually measures what it purports to measure

a measurement that will give you the same consistent result time after time

Identify one of the seven pitfalls when conducting surveys for the following survey question: “Do you agree with the experimenter of this study that capital punishment should be outlawed?”

Deliberate bias

Confidentiality and anonymity

Asking the uninformed

Unnecessary complexity

Use the following set of SAMPLE data:

-2 -1 2 4 5 5

What is the standard deviation of this sample data set (i.e., the square root of the variance)?

2.71

2.79

3.06

9.37

Use the following set of SAMPLE data:

-2 -1 2 3 6 8

What is the mean of this data set? (rounded)

3.67

2.67

-3.67

3.17

Use the following set of SAMPLE data:

-2 -1 2 4 5 5

What is the median?

2.00

3.00

3.50

4.00

Use the following set of SAMPLE data:

-2 -1 2 4 6 9

What is the range?

5

7

9

11

Use the following set of SAMPLE data:

-2 -1 2 4 5 5

What is the Interquartile Range?

3

4

6

7

Construct a Stem and Leaf plot (stemplot) using the data below. The sum (total) of the numbers that comprise the leaf in the first row is ____:

11 25 22 19 23 21 17 27 21 21 23 28 10 29

11

17

19

29

Using the following data (which are sample exam scores), construct a Grouped Frequency Distribution on your scrap paper.

11 25 22 19 23 21 17 27 21 21 23 28 10 29

Intervals Real Limits Midpoint f cf r% c%

10 – 13

14 – 17

18 – 21

22 – 25

26 – 29

What score is associated with the 50th percentile?

18 – 21

19.5

21.5

23

Use the Grouped Frequency Distribution that you constructed on your scrap paper in the previous question to answer the following:

What percentage of people scored between (and including) 26 and 29?

14.29%

19.72%

21.43%

28.57%

Assume that verbal SAT scores constitute a normal distribution with a mean of 600 and a standard deviation of 100.

What SAT score corresponds to the 30.85th percentile?

425

450

550

600

Assume that verbal SAT scores constitute a normal distribution, with a mean of 500 and a standard deviation of 100.

What percentage of scores are between 535 and 625?

46.88%

36.32%

32.36%

25.76%

The scores on a PSY 1110 exam were negatively skewed. Jody scored the mean, Marcia scored the median, and Greg scored the mode. Who had the lowest score?

Jody

Marcia

Greg

All three had the same score

The Interquartile Range contains the middle-most _____________:

1/4 of the cases

1/2 of the cases

3/4 of the cases

9/10 of the cases

Which one of the following statements is false?

The variance is the standard deviation squared, and the standard deviation is the square root of the variance.

The variance can never be greater than the standard deviation.

The variance is always a positive number, because it is derived by calculating the squared raw data values.

The variance is a measurement of the spread between numbers in a data set. The variance measures how far each number in the set is from the mean.

The following defines the normal curve:

The normal curve is always unimodal; it is never bi-modal.

mean = median = mode (i.e., the mean, median, and mode are all approximately the same value)

The normal curve is always symmetrical.

all of the above

Transforming X values (i.e., raw data scores) into z-scores NEVER changes the shape of the distribution. True or false?

True

False

A positive z-score always corresponds to an X value (i.e., a raw data score) that is above the mean. True or false?

True

False

A z-score transformation is a useful statistical tool because it enables statisticians to _____:

determine which scores are the best scores in a distribution

compare two or more distributions’ skewness

more easily determine the highest and lowest scores in a distribution

compare and interpret scores from virtually any distribution

Assume that the µ (population mean) for a test was 50 and the ? (population standard deviation) was 4.5. Lisa scored 56 on the test, Jill had a z-score of +1.5, and Ellianna scored at the 75th percentile. Who did the best on the test (in other words, who had the highest score)?

Jill

Lisa

Ellianna

The performance of all three was identical

A distribution of z-scores always has a mean of _____ and a standard deviation of _____.

0, 1

1, 0

1, 1

0, 0

Which of the following is the best interpretation of what the 65th percentile of a distribution means?

65% of the scores fall equal to or above the 65th percentile

65% of the scores fall equal to or below the 65th percentile

65% of the scores are equal to, or fall at, the 65th percentile

65% of the scores fall at the 65th percentile about 65% of the time

Which of the following sets of correlations correctly orders the highest to lowest degree of relationship between two variables (i.e., the highest degree of relationship between two variables to the lowest degree of relationship between two variables)?

-0.96, +0.72, +0.10, -0.03

-0.03, +0.10, +0.72, -0.96

+0.72, -0.96, +0.10, -0.03

+0.72, +0.10, -0.03, -0.96

Suppose a correlation between height (X) and weight (Y) for adults is +0.89. What percentage of the variability in the data is due to the relationship between height and weight?

89%

67%

79%

25%

We know that college GPA is positively correlated with salary after college. If we use knowledge of a student’s GPA to predict his or her salary, the predictor variable is _______ and the criterion variable is _______.

GPA; salary

salary; GPA

salary; the correlation between GPA and salary

GPA; the correlation between GPA and salary

The following data have to do with the relationship between maternal smoking (# of cigarettes smoked per day,

which is variable X) and infant birth weight (which is variable Y). (?X, ?X2, ?Y, ?Y2, and ?XY have already been

calculated for you and are shown below in red font.)

Cigarettes Per Day (X) X2 Infant Birth Weight (Y) Y2 XY

2 4 7.5 56.25 15.0

6 36 7.2 51.84 43.2

10 100 6.9 47.61 69.0

12 144 6.2 38.44 74.4

14 196 5.8 33.64 81.2

?X = 44 ?X2 = 480 ?Y = 33.6 ?Y2 = 227.78 ?XY = 282.8


What is COVxy (the covariance)?

-1.70

+1.70

-2.30

+2.30

-3.22

+3.22

The following data have to do with the relationship between maternal smoking (# of cigarettes smoked per day,

which is variable X) and infant birth weight (which is variable Y). (?X, ?X2, ?Y, ?Y2, and ?XY have already been

calculated for you and are shown below in red font.)

Cigarettes Per Day (X) X2 Infant Birth Weight (Y) Y2 XY

2 4 7.5 56.25 15.0

6 36 7.2 51.84 43.2

10 100 6.9 47.61 69.0

12 144 6.2 38.44 74.4

14 196 5.8 33.64 81.2

?X = 44 ?X2 = 480 ?Y = 33.6 ?Y2 = 227.78 ?XY = 282.8

What is Sy (the standard deviation of Y)? In other words, the square root of the variance of the Y variable.

0.31

0.55

4.44

19.67

0.497

0.70

The following data have to do with the relationship between maternal smoking (# of cigarettes smoked per day,

which is variable X) and infant birth weight (which is variable Y). (?X, ?X2, ?Y, ?Y2, and ?XY have already been

calculated for you and are shown below in red font.)

Cigarettes Per Day (X) X2 Infant Birth Weight (Y) Y2 XY

2 4 7.5 56.25 15.0

6 36 7.2 51.84 43.2

10 100 6.9 47.61 69.0

12 144 6.2 38.44 74.4

14 196 5.8 33.64 81.2

?X = 44 ?X2 = 480 ?Y = 33.6 ?Y2 = 227.78 ?XY = 282.8

The Pearson Correlation Coefficient (r) is:

r = -0.90

r = +0.90

r = +0.79

r = -0.79

r = -0.95

r = +0.95

The following data have to do with the relationship between maternal smoking (# of cigarettes smoked per day,

which is variable X) and infant birth weight (which is variable Y). (?X, ?X2, ?Y, ?Y2, and ?XY have already been

calculated for you and are shown below in red font.)

Cigarettes Per Day (X) X2 Infant Birth Weight (Y) Y2 XY

2 4 7.5 56.25 15.0

6 36 7.2 51.84 43.2

10 100 6.9 47.61 69.0

12 144 6.2 38.44 74.4

14 196 5.8 33.64 81.2

?X = 44 ?X2 = 480 ?Y = 33.6 ?Y2 = 227.78 ?XY = 282.8

What is the slope (b)?

-0.01

-2.30

4.44

-0.14

19.67

3.22

The following data have to do with the relationship between maternal smoking (# of cigarettes smoked per day,

which is variable X) and infant birth weight (which is variable Y). (?X, ?X2, ?Y, ?Y2, and ?XY have already been

calculated for you and are shown below in red font.)

Cigarettes Per Day (X) X2 Infant Birth Weight (Y) Y2 XY

2 4 7.5 56.25 15.0

6 36 7.2 51.84 43.2

10 100 6.9 47.61 69.0

12 144 6.2 38.44 74.4

14 196 5.8 33.64 81.2

?X = 44 ?X2 = 480 ?Y = 33.6 ?Y2 = 227.78 ?XY = 282.8

What is the y-intercept (a) for this data?

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