Stats - Final Exam Review

The Basics

Sampling Techniques

Descriptive Statistics

Probability

More Probability

Scatter Plots

Combinations, Permutations, and Counting Rules

Potpourri

100

You are collecting data on the preference of types of desserts a person orders at a restaurant. The data you're collecting is:

a) Discrete

b) Continuous

c) Qualitative

100

A town had a drawing for free tickets to a concert. All of the names of the town's residents were entered. 100 males and 100 females were picked. What type of sampling technique was used:

a) Cluster

b) Convenience

c) Matched-pair

d) Simple random

e) Stratified

100

What is the median of this data set?

a) 79

b) 79.5

c) 80.5

d) 80

b) 79.5

100

A yoga class has students with an age range of 15-60, with a mean of 28. Which of the following is the most realistic value for the standard deviation?

a) 5

b) 20

c) 15

d) 50

a) 5: Since most values are close to the mean 68/95/99.5 empirical rule, the smaller standard deviation is more likely unless the data is very spread out, which it's not likely to be in this case. The range is 45, and the standard deviation cannot be more than the range (excluding d)

100

The heights of soccer goalkeepers are normally distributed with mean of 75 inches and a standard deviation of 3 inches. Find the probability of a randomly selected goalkeeper having a height between 70 and 76 inches tall.

a) 0.5828

b) 0.04779

c) 0.6306

d) -1.6667

e) 0.3333

a) 0.5828

100

In the scatter plot, the variable "Average Speed (mph)" is the:

a) Explanatory Variable

b) Response variable

100

For your book club, you have 20 books to choose from and you must choose 12 for your club to read for the next year. How many ways are there to do this if it doesn't matter what order the books are read in?

a) 6.034x10¹³

b) 240

c) 4.096x10¹⁵

d) 125,970

100

True or False: P(z>1.1)=0.864

a) True

b) False

b) False: P(z<1.1)=0.864. P(z>1.1)=0.136

200

Reuter's uses the reading behavior of people in a sample of 3000 homes. What type of study is this?

a) Observational

b) Experiment

c) Neither

a) Observational

200

To survey the feasibility of adopting a light-rail pass for college students, you survey students walking into the student center in the morning. What type of sampling technique was used?

a) Cluster

b) Convenience

c) Matched-pair

d) Simple random

e) Stratified

b) Convenience

200

What is the mode of the data set?

a) 72

b) 82

c) 70 and 80

d) 72 and 82

d) 72 and 82 (bimodal)

200

Which is true about a standard normal distribution?

a) The total area under the standard normal curve is 68%

b) The standard normal curve is symmetric about the variance

c) The probability to the left of the mean is negative

d) The standard normal curve is symmetric about 0.

200

Consider the following distribution and determine P(4):

a) 0.25

b) 0.15

c) 0.10

d) 0.20

e) 0

d) 0.20

200

For students taking a Pathophysiology class, the regression equation relating the first exam score to the first quiz score is hat(y)=25+0.72x . Find the predicted first exam score for a student who scored an 85 on the first quiz.

a) 75.3

b) 85.4

c) 86.2

d) 92.6

c) 86.2

200

A car dealer has 3 ramps to display cars on. How many ways can he display them?

a) 1

b) 3

c) 6

d) 12

e) 15

c) 6

200

Brett is going to college and the table includes information on possible roommates. Find the probability that Brett’s roommate will be someone who likes to party given that he snores.

a) 0.150

b) 0.600

c) 0.429

d) 0.250

c) 0.429

300

You are conducting an experiment with a new drug that helps with high blood sugar. There are 100 people in the study who are randomly assigned either the drug or a placebo without knowing which one they are taking. A doctor tests the patient's blood sugar knowing if they are taking the drug or the placebo. What type of blinding is this?

a) Single

b) Double

c) Neither

a) Single

300

A researcher selects a random city block and surveys all households on that block. What type of sampling is this?

a) Simple random
b) Systematic
c) Cluster
d) Convenience

c) Cluster

300

For Group A, the median is _________ the mean:

a) Greater than

b) Less than

c) Equal to

a) Greater than

The median is ~47 and the mean is 35.

300

Suppose we know that the sample data for the age of members of the VFW is approximately normal with a mean of 75 and a standard deviation of 15 years. 95% of the data fall between what two values?

a) 60 and 90

b) 45 and 105

c) 30 and 120

b) 45 and 105

300

Suppose you flip a fair coin 10 times and it lands heads up 7 times. The probability of landing on heads appears to be 7/10. However, in the long run, the probability of landing on heads will be:

a) 7/10

b) 2/5

c) 1/2

d) 3/8

c) 1/2

300

The type of association in this scatter plot is:

a) Positive

b) Negative

c) There is no association

300

If a secret code is 10 digits long, how many possible codes are there if replacement is not allowed?

a) 3,628,800

b) 19,958,400

c) 10

d) 10,000,000,000

a) 3,628,800

300

What is the probability that someone parties or doesn't snore?

a) 0.80

b) 0.90

c) 0.10

d) 0.50

a) 0.80

400

A summary measure that is computed from a sample to describe a characteristic is called a:

a) Variable

b) Parameter

c) Survey

d) Statistic

400

A school wants to survey students about cafeteria food. They pick every 15th student from an alphabetical list. This is an example of:

a) Simple random
b) Cluster
c) Systematic
d) Stratified

c) Systematic

400

The shape of Group B is:

a) Normal

b) Skewed Right

c) Skewed Left

b) Skewed Right - since the median is closer to the left side of the box, most of the data is to the right of the median.

400

The data below represents the number of hours per week students work:

What is the sample size, mean, and standard deviation of the data?

n=18, bar(x)=16.83, s=10.84

n=18, bar(x)=16.83, s=10.53

n=19, bar(x)=15.95, s-=10.84

n=20, bar(x)=15.15, s=10.53

a) n=18, bar(x)=16.83, s=10.84

400

Suppose you have a spinner with 5 equal wedges, numbered 1-5. What is the probability of spinning a number less than 3?

a) 0

b) 1/5

c) 2/5

d) 3/5

e) 4/5

c) 2/5

400

A possible correlation coefficient of the data on the scatter plot is:

a) r = -1

b) r = 0.1

c) r = -0.8

d) r = 0

e) r = 0.9

400

A school committee consists of 6 members, half students, and half faculty. If there are 15 students and 10 faculty to choose from, how many ways can the committee be formed?

a) 54,600

b) 575

c) 720

d) 2730

e) 1,965,600

a) 54,600

400

Scores on a portion of the SAT follow a normal distribution with a mean of 1000 and a standard deviation of 75. Approximately what test score would be associated with the 90th percentile?

a) 903.88

b) 1000.00

c) 1123.36

d) 1096.12

500

In a study examining the effect of sleep on test performance, students are grouped based on how many hours they sleep the night before a test. The researchers then measure their test scores. What is the explanatory variable in this study?

a) The number of students in each group
b) The test scores of the students
c) The amount of sleep the students got
d) The difficulty of the test

c) The amount of sleep the students got

500

Which of the following is an example of stratified sampling?

a) Choosing every 10th person from an alphabetical list of registered voters
b) Dividing a population into income levels and randomly selecting people from each level
c) Placing all student names in a hat and drawing 20 names at random
d) Surveying all customers who shop on Mondays

b) Dividing a population into income levels and randomly selecting people from each level

500

What is the IQR of this data set:

a) 12

b) 9

c) 22

d) 10

b) 9

500

An astronomy student tracks the number of shooting stars she sees each night for a 60 day period. The following probability distribution represents the number of shooting stars each night and their corresponding probabilities. Using this, find the mean of the probability distribution.

a) 3.14

b) 1.00

c) 0.20

d) 0.407

e) 2.03

500

The probability of winning a game is 0.15 for each play and the plays are independent. What is the probability that you win at least one time in 10 plays?

a) 0.1969

b) 1

c) 0.8031

d) 0.5443

e) 0.4557

c) 0.8031

500

A possible correlation coefficient of the data on the scatter plot is:

a) r = -1

b) r = 0.1

c) r = -0.9

d) r = 0

e) r = 0.8

c) r = -0.9

500

A small island country needs to form its new government. There are 7 positions available: 2 Co-Presidents, 2 Co-Vice-Presidents, and 3 Treasurers: Ranked Treasurer 1, Treasurer 2, and Treasurer 3. Everyone has an equal chance of being chosen for any position and the island has 100 people. How many different ways can this government be formed?

a) 2.377x10¹³

b) 9988

c) 2.0170x10¹³

d) 116,280

c) 2.0170x10¹³

500

A researcher thinks that if knee surgery patients go to physical therapy twice a week (instead of 3 times), their recovery period will be longer. Average recovery times for knee surgery patients is 8.2 weeks. Select the appropriate hypotheses:

a) H_0: mu=8.2

H_1: mu\ne8.2

b) H_0: mu=8.2

H_1: mu<8.2

c) H_0: mu=8.2

H_1: mu>8.2

d) H_0: mu\ne8.2

H_1: mu=8.2

c) H_0: mu=8.2

H_1: mu>8.2