STATS 27 Multiple Choice Questions Exam 2015

| August 30, 2017

Question
Question 1

Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.
A computer is used to randomly select a number between 1 and 1000. Event A is selecting a number greater than 600.

A.

1; Simple event because it is an event that consists of a single outcome.

B.

600; Not a simple event because it is an event that consists of more than a single outcome.

C.

400; Simple event because only one number is selected.

D.

400; Not a simple event because it is an event that consists of more than a single outcome.

2 points

Question 2

Provide an appropriate response.
A radio station claims that the amount of advertising per hour of broadcast time has an average of 17 minutes and a standard deviation equal to 2.7 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 11 minutes. Calculate the z-score for this amount of advertising time.

A.

z= 2.22

B.

z=-2.22

C.

z= 0.49

D.

z=-0.49

2 points

Question 3

Use the fundamental counting principle to solve the problem.
How many license plates can be made consisting of 3 letters followed by 2 digits?

A.

100,000

B.

11,881,376

C.

175,760

D.

1,757,600

2 points

Question 4

Provide an appropriate response.
The test scores of 30 students are listed below. Find the five-number summary.

A.

Min= 31, Q1= 57, Q2= 70, Q3= 81, Max= 99

B.

Min= 31, Q1= 57, Q2= 72, Q3= 81, Max= 99

C.

Min= 31, Q1= 58, Q2= 70, Q3= 83, Max= 99

D.

Min= 31, Q1= 58, Q2= 72, Q3= 83, Max= 99

2 points

Question 5

Provide an appropriate response.
A single six-sided die is rolled. Find the probability of rolling a number less than 3.

A.

0.333

B.

0.25

C.

0.5

D.

0.1

2 points

Question 6

Provide an appropriate response.
The graph below is an ogive of scores on a math test.
Percentile Ranks of Math Test Scores

Use the graph to approximate the test score that corresponds to the 10th percentile?

A.

34

B.

6

C.

40

D.

1

points

Question 7

Provide an appropriate response.
The distribution of Master’s degrees conferred by a university is listed in the table.

What is the probability that a randomly selected student graduating with a Master’s degree has a major of Engineering? Round your answer to three decimal places.

A.

0.071

B.

0.984

C.

0.929

D.

0.016

2 points

Question 8

Provide an appropriate response.
A study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time. What is the probability of a flight arriving on time?

A.

B.

C.

D.

2 points

Question 9

Provide an appropriate response.
The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of selecting a person with blood type A+.

A.

0.68

B.

0.45

C.

0.34

D.

0.4

2 points

Question 10

Provide an appropriate response.
A single six-sided die is rolled. Find the probability of rolling a seven.

A.

0.5

B.

0.1

C.

1

D.

0

2 points

Question 1 Provide an appropriate response.
The graph below is an ogive of scores on a math test.
Percentile Ranks of Math Test Scores

Use the graph to approximate the percentile rank of an individual whose test score is 70.

A.

75

B.

80

C.

53

D.

58

Question 2 Use the fundamental counting principle to solve the problem.
How many different codes of 4 digits are possible if the first digit must be 3, 4, or 5 and if the code may not end in 0?

A.

3000

B.

300

C.

2700

D.

2999

Question 3 Provide an appropriate response.
The distribution of Master’s degrees conferred by a university is listed in the table.

What is the probability that a randomly selected student graduating with a Master’s degree has a major of Education? Round your answer to three decimal places.

A.

0.390

B.

0.004

C.

0.280

D.

0.720

Question 4 Provide an appropriate response.
The weights (in pounds) of 30 preschool children are listed below. Find the five-number summary.

A.

Min = 25, Q1 = 27.5, Q2 = 30.5, Q3 = 33.5, Max = 38

B.

Min = 25, Q1 = 27.5, Q2 = 30.75, Q3 = 33, Max = 38

C.

Min = 25, Q1 = 28, Q2 = 30.75, Q3 = 34, Max = 38

D.

Min = 25, Q1 = 28, Q2 = 30.5, Q3 = 34, Max = 38

Question 5 Provide an appropriate response.
Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers

Question 6 Provide an appropriate response.
Classify the statement as an example of classical probability, empirical probability, or subjective probability. In California’s Pick Three lottery, a person selects a 3-digit number. The probability of winning California’s Pick Three lottery is .

A.

subjective probability

B.

empirical probability

C.

classical probability

Qestion 7 Provide an appropriate response.
Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a train will be in an accident on a specific route is 1%.

A.

empirical probability

B.

classical probability

C.

subjective probability

Question 8Provide an appropriate response.
A single six-sided die is rolled. Find the probability of rolling a number less than 3.

A.

0.25

B.

0.333

C.

0.1

D.

0.5

Question 9 Provide an appropriate response.
Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores for a physics class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 65 on the history test and a 74 on the physics test. Calculate the z-score for each test. On which test did the student perform better?

Question 10 Provide an appropriate response.
The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Draw a box-and-whisker plot that represents the data.

Question 11 Provide an appropriate response.
If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a heart?

A.

1

B.

C.

D.

Question 1Provide an appropriate response.
The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Find Q1.

154 156 165 165 170 171 172 180 184 185
189 189 190 192 195 198 198 200 200 200
205 205 211 215 220 220 225 238 255 265

A.

184.5

B.

171

C.

200

D.

180

2 points

Question 2Use the fundamental counting principle to solve the problem.
How many license plates can be made consisting of 3 letters followed by 2 digits?

A.

1,757,600

B.

175,760

C.

100,000

D.

11,881,376

2 points

Question 3Provide an appropriate response.
The distribution of Master’s degrees conferred by a university is listed in the table.

What is the probability that a randomly selected student graduating with a Master’s degree has a major of Engineering? Round your answer to three decimal places.

A.

0.016

B.

0.984

C.

0.071

D.

0.929

2 points

Question 4Provide an appropriate response.
Find the z-score for the value 62, when the mean is 79 and the standard deviation is 4.

A.

z= 0.73

B.

z=-0.73

C.

z=-4.25

D.

z=-4.50

2 points

Question 5 Provide an appropriate response.
In a survey of college students, 840 said that they have cheated on an exam and 1765 said that they have not. If one college student is selected at random, find the probability that the student has cheated on an exam.

A.

B.

C.

D.

2 points

Question 6Provide an appropriate response.
The test scores of 30 students are listed below. Find the five-number summary.

A.

Min= 31, Q1= 58, Q2= 72, Q3= 83, Max= 99

B.

Min= 31, Q1= 57, Q2= 70, Q3= 81, Max= 99

C.

Min= 31, Q1= 58, Q2= 70, Q3= 83, Max= 99

D.

Min= 31, Q1= 57, Q2= 72, Q3= 81, Max= 99

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