Prince George Community College » Math » Math 1140 - Introduction to Statistics » Summer 2021

Math 1140 - Introduction to Statistics » Summer 2021 » Exam 1 (Chapters 1, 2, 3, and 5)

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Question #1

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of a randomly chosen student. x -5 -6 -7 -8- 9-10 P(x) 0.04- 0.16- 0.36- 0.24- 0.12 -0.08 The mean score on the quiz is:

A. 7.44

B. 7.48

C. 6.48

D. 7.84

Question #2

A. 0.8

B. 1

C. 1.1

D. 1.2

Question #3

A. 0.44

B. 0.54

C. 0.4

D. 0.42

Question #4

Identify which type of sampling is being used. A college faculty consists of 400 men and 250 women. The college administration wants to draw a sample of 65 faculty members to ask their opinion about a new parking fee. They draw a sample of 40 men and 25 women.

A. Systematic Sample

B. Simple Random Sample

C. Cluster Sample

D. Stratified Sample

E. Convenience Sample

Question #5

In New York State Numbers Lottery, you pay $1 and can bet that the sum of the numbers that come up is 13. The probability of winning is 0.075, and if you win , you win $6.50 (net profit of $5.50) . What is the expected value of the lottery? Round to nearest cent.

A. -0.41

B. 0.51

C. -0.55

D. -0.51

Question #6

Identify which type of sampling is being used. Police at a sobriety checkpoint pull over every fifth car to determine whether the driver is sober.

A. Convenience Sample

B. Cluster Sample

C. Simple Random Sample

D. Systematic Sample

E. Statified Sample

Question #7

A student takes a multiple choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Find the probability that the student gets exactly 3 correct (Round to four decimal places).

A. 0.2505

B. 0.2503

C. 0.1503

D. 0.2003

Question #8

A. 0.5222

B. 0.5265

C. 0.5251

D. 0.5256

Question #9

A student takes a multiple choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Find the probability of getting at least 7 correct (Round to four decimal places).

A. 0.0003

B. 0.0025

C. 0.0035

D. 0.0045

Question #10

At Denver International Airport, 81% of recent flights have arrived on time. A sample of twelve flights is studied. Find the probability that all of the flights were on time (Round to 4 decimal places).

A. 0.0676

B. 0.0777

C. 0.0798

D. 0.788

Question #11

At Denver International Airport, 81% of recent flights have arrived on time. A sample of twelve flights is studied. Find the probability that 10 or more of the flights were on time (Round to 4 decimal places).

A. 0.5921

B. 0.5999

C. 0.5433

D. 0.5940

Question #12

At Denver International Airport, 81% of recent flights have arrived on time. A sample of twelve flights is studied. Find the probability that exactly 5 flights were on time (Round to 4 decimal places).

A. 0.0015

B. 0.0032

C. 0.0025

D. 0.0029

Question #13

In a recent year, the mean score on the ACT test was 21.1 and the standard deviation was 5.2. The mean score on the SAT mathematics test was 514 and the standard deviation was 117. Find the z-score for an ACT score of 27 (round to two decimals)

A. 1.11

B. 1.13

C. 1.12

D. 1.03

Question #14

A. 1.18

B. 1.11

C. 1.15

D. 1.16

Question #15

In a recent year, the mean score on the ACT test was 21.1 and the standard deviation was 5.2. The mean score on the SAT mathematics test was 514 and the standard deviation was 117. Which score is higher, relative to its population of scores? Type A = ACT or S = SAT

A. A

B. S

Question #16

Identify which type of sampling is being used. A student conducted conducted a survey on driving habits by randomly selecting three different classes and surveying all of the students in the class.

A. Statified Sample

B. Cluster Sample

C. Systematic Sample

D. Convenience Sample

E. Simple Random Sample

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