Project #154144 - Elementatry Statistics

Mathematics Tutors

Subject Mathematics
Due By (Pacific Time) 11/20/2016 12:00 am

 

MULTIPLE CHOICES. Choose the one alternative that best completes the statement or answers the question.

 

 

 

Identify whether the statement describes inferential statistics or descriptive statistics.

 

 

 

1) The average age of the students in a statistics class is 19 years.

 

A) descriptive statistics B) inferential statistics

 

 

 

2) The chances of winning the California Lottery are one chance in twenty-two million.

 

A) inferential statistics B) descriptive statistics

 

 

 

3) There is a relationship between smoking cigarettes and getting emphysema.

 

A) inferential statistics B) descriptive statistics

 

 

 

4) From past figures, it is predicted that 19% of the registered voters in California will vote in the June primary.

 

A) inferential statistics B) descriptive statistics

 

 

 

 

 

1.2 Data Classification

 

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

 

 

Determine whether the data are qualitative or quantitative.

 

 

 

1) The colors of automobiles on a used car lot

 

A) Qualitative B) quantitative

 

 

 

2) The number of complaint letters received by the United States Postal Service in a given day

 

A) Quantitative B) qualitative

 

 

 

3) The number of seats in a movie theater

 

A) Quantitative B) qualitative

 

 

 

2 Classify Data with Respect to the Four Levels of Measurement

 

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

 

 

Identify the data setʹs level of measurement.

 

 

 

1) hair color of women on a high school tennis team

 

A) nominal B) ordinal C) interval D) ratio

 

 

 

 

 

2) ages of students in a statistic class

 

A) ratio B) ordinal C) interval D) nominal

 

 

 

3) temperatures of 12 selected refrigerators

 

A) interval B) ordinal C) nominal D) ratio

 

 

 

 

 

4) number of pages in your statistics book

 

A) ratio B) ordinal C) interval D) nominal

 

 

 

5) marriage status (married, single, or divorced) of the faculty at the University of Colorado

 

A) nominal B) ordinal C) interval D) ratio

 

 

 

 

 

6) the final grades (A, B, C, D, and F) for students in a statistics class

 

A) ordinal B) nominal C) interval D) ratio

 

 

 

7) the annual salaries for all teachers in California

 

A) ratio B) ordinal C) interval D) nominal

 

 

 

8) list of zip codes for Chicago

 

A) nominal B) ordinal C) interval D) ratio

 

 

 

 

 

1.3 Data Collection and Experimental Design

 

1 Decide on Methods of Data Collection

 

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

 

 

Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, simulation, or survey.

 

 

 

1) A study where a drug was given to 23 patients and a placebo to another group of 23 patients to determine if the

 

2) drug has an effect on a patientʹs illness

 

A) experiment B) simulation

 

C) survey D) observational study

 

 

 

3) A study of the salaries of college professors in a particular state

 

A) survey B) simulation

 

C) experiment D) observational study

 

 

 

3 Identify Sampling Techniques

 

 

 

Identify the sampling technique used.

 

 

 

1) Thirty-five sophomores, 50 juniors and 37 seniors are randomly selected from 538 sophomores, 448 juniors and 394 seniors at a certain high school.

 

A) stratified B) random C) cluster D) convenience E) systematic

 

 

 

2) At a local community college, five statistics classes are randomly selected out of 20 and all of the students from each class are interviewed.

 

A) cluster B) random C) convenience D) systematic E) stratified

 

 

 

3) To ensure customer satisfaction, every 20th phone call received by customer service will be monitored.

 

A) systematic B) random C) cluster D) stratified E) convenience

 

 

 

2.1 Frequency Distributions and Their Graphs

 

 

 

Use the given frequency distribution to find the

 

(a) class width.

 

(b) class midpoints of the first class.

 

(c) class boundaries of the first class.

 

 

 

1.

 

 

 

 

 

2.

 

 

 

 

 

 

 

2.3 Measures of Central Tendency

 

 

 

1 Interpret the Graph of a Distribution

 

 

 

For the given data , construct a frequency distribution and frequency histogram of the data using five classes. Describe the shape of the histogram as symmetric, uniform, skewed left, or skewed right.

 

 

 

1) Data set: California Pick Three Lottery

 

3 6 7 6 0 6 1 7 8 4

 

1 5 7 5 9 1 5 3 9 9

 

2 2 3 0 8 8 4 0 2 4

 

A) uniform B) symmetric C) skewed left D) skewed right

 

 

 

 

 

 

 

2) Data set: systolic blood pressures of 20 randomly selected patients at a blood bank

 

135 120 115 132 136 124 119 145 98 110

 

125 120 115 130 140 105 116 121 125 108

 

A) symmetric B) uniform C) skewed left D) skewed righ

 

 

 

3) Use the histogram below to approximate the median heart rate of adults in the gym.

 

 

 

A) 70 B) 65 C) 75 D) 42

 

 

 

4) Use the histogram below to approximate the mean heart rate of adults in the gym.

 

 

 

 

 

 

 

A) 70.8 B) 1425.7 C) 70 D) 31.6

 

 

 

2 Find the Mean, Median, and Mode

 

 

 

1) The top 14 speeds, in miles per hour, for Pro-Stock drag racing over the past two decades are listed below.

 

Find the mean speed.

 

181.1 202.2 190.1 201.4 191.3 201.4 192.2

 

201.2 193.2 201.2 194.5 199.2 196.0 196.2

 

A) 195.8 B) 196.1 C) 201.2 D) 210.9

 

 

 

2) The scores of the top ten finishers in a recent golf tournament are listed below. Find the mean score.

 

71 67 67 72 76 72 73 68 72 72

 

A) 71 B) 67 C) 68 D) 72

 

 

 

3) The scores of the top ten finishers in a recent golf tournament are listed below. Find the median score.

 

67 67 68 71 72 72 72 72 73 76

 

A) 72 B) 67 C) 71 D) 73

 

 

 

3 Find the Weighted Mean

 

 

 

1) A student receives test scores of 62, 83, and 91. The studentʹs final exam score is 88 and homework score is 76.

 

Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is

 

15% of the final grade. What is the studentʹs mean score in the class?

 

A) 80.6 B) 76.6 C) 90.6 D) 85.6

 

 

 

 

 

2) Grade points are assigned as follows: A = 4, B = 3, C = 2, D = 1, and F = O. Grades are weighted according to

 

credit hours. If a student receives an A in a four-unit class, a D in a two-unit class, a B in a three-unit class and

 

a C in a three-unit class, what is the studentʹs grade point average?

 

A)     2.75 B) 1.75 C) 2.50 D) 3.00

 

 

 

2.4 Measures of Variation

 

 

 

1) The grade point averages for 10 students are listed below. Find the range of the data set.

 

2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8

 

A) 3.2 B) 2.45 C) 1.4 D) 2.8

 

 

 

2) The heights (in inches) of 20 adult males are listed below. Find the range of the data set.

 

70 72 71 70 69 73 69 68 70 71

 

67 71 70 74 69 68 71 71 71 72

 

A) 7 B) 5 C) 6 D) 6.5

 

 

 

3) Find the sample standard deviation.

 

2 6 15 9 11 22 1 4 8 19

 

A) 7.1 B) 6.8 C) 2.1 D) 6.3

 

4) Find the sample standard deviation.

 

15 42 53 7 9 12 14 28 47

 

A) 17.8 B) 16.6 C) 29.1 D)

 

 

 

4 Use the Empirical Rule

 

 

 

1) The mean IQ score of adults is 100, with a standard deviation of 15. Use the Empirical Rule to find the

 

percentage of adults with scores between 70 and 130. (Assume the data set has a bell -shaped distribution.)

 

A) 95% B) 68% C) 99.7% D) 100%

 

 

 

2) The mean IQ score of students in a particular calculus class is 110, with a standard deviation of 5. Use the

 

Empirical Rule to find the percentage of students with an IQ above 120. (Assume the data set has a bell -shaped

 

distribution.)

 

A) 2.5% B) 11.15% C) 13.5% D) 15.85%

 

 

 

3) The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about

 

99.7% of the values lie? (Assume the data set has a bell-shaped distribution.)

 

A) Between 76 and 88 B) Between 80 and 84 C) Between 78 and 86 D) Between 74 and 90

 

 

 

4) The mean length of a human pregnancy is 265 days, with a standard deviation of 10 days. Use the Empirical

 

Rule to determine the percentage of women whose pregnancies are between 255 and 275 days. (Assume the

 

data set has a bell-shaped distribution.)

 

A) 68% B) 50% C) 95% D) 99.7%

 

 

 

Ch. 3 Probability

 

3.1 Basic Concepts of Probability and Counting

 

 

 

1) In a survey of college students, 824 said that they have cheated on an exam and 1727 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) 824/2551

 

B) 1727/2551

 

C) 2551/824

 

D) 2551/1727

 

2) If an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap

 

years.

 

A) 31/365

 

B) 1/365

 

C) 364/365

 

D) 12/365

 

3) 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) 0.34 B) 0.4 C) 0.45 D) 0.68

 

 

 

4) 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+ or A-.

 

 

 

 

 

 

 

A) 0.4 B) 0.34 C) 0.02 D) 0.06

 

5) A question has five multiple-choice answers. Find the probability of guessing an incorrect answer.

 

A) 4/5

 

B) 5/2

 

C) 1/5

 

D) 3/5

 

6) A question has five multiple-choice questions. Find the probability of guessing the correct answer.

 

A) 1/5

 

B) 5/4

 

C) 4/5

 

D) 2/5

 

4 Use Fundamental Counting Principle

 

Use the fundamental counting principle to solve the problem.

 

1) A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 color patterns

 

available. How many different shirts are available from this company?

 

A) 56 B) 28 C) 11 D) 13

 

2) How many license plates can be made consisting of 2 letters followed by 3 digits?

 

A) 676,000 B) 100,000 C) 11,881,376 D) 67,600

 

 

 

3) 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) 2700 B) 300 C) 2999 D) 3000

 

 

 

5 Classify Types of Probability

 

1) Classify the statement as an example of classical probability, empirical probability, or subjective probability.

 

The probability that a newborn baby is a boy is 1/2.

 

A) classical probability B) empirical probability C) subjective probability

 

 

 

2) Classify the statement as an example of classical probability, empirical probability, or subjective probability.

 

The probability that it will rain tomorrow is 21%.

 

 

 

A) subjective probability B) classical probability C) empirical probability

 

 

 

3.2 Conditional Probability and the Multiplication Rule

 

1 Determine Between Independent and Dependent Events

 

1) Classify the events as dependent or independent. Events A and B where

 

P(A) = 0.7, P(B) = 0.7, and P(A and B) = 0.49

 

A) independent B) dependent

 

2) Classify the events as dependent or independent. Events A and B where

 

P(A) = 0.8, P(B) = 0.1, and P(A and B) = 0.07

 

A) dependent B) independent

 

2 Find Conditional Probabilities

 

1) A group of students were asked if they carry a credit card. The responses are listed in the table.

 

 

 

If a student is selected at random, find the probability that he or she owns a credit card given that the student is

 

a freshman. Round your answer to three decimal places.

 

A) 0.750 B) 0.250 C) 0.584 D) 0.450

 

2) A group of students were asked if they carry a credit card. The responses are listed in the table.

 

 

 

If a student is selected at random, find the probability that he or she owns a credit card given that the student is a sophomore. Round your answer to three decimal places.

 

A)     0.700 B) 0.300 C) 0.622 D) 0.280

 

3 Use the Multiplication Rule to Find Probabilities

 

1) You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the

 

probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.

 

A) 0.006 B) 0.994 C) 0.250 D) 0.500

 

2) Find the probability of answering two true or false questions correctly if random guesses are made. Only one of

 

the choices is correct.

 

A) 0.25 B) 0.5 C) 0.75 D) 0.1

 

 

 

3) Find the probability of answering the two multiple choice questions correctly if random guesses are made.

 

Assume the questions each have five choices for the answer. Only one of the choices is correct.

 

A) 0.04 B) 0.004 C) 0.4 D) 0.02

 

3.3 The Addition Rule

 

1 Determine if Events Are Mutually Exclusive

 

1) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 52 playing cards.

 

A: The result is a 7.

 

B: The result is a jack.

 

A) mutually exclusive B) not mutually exclusive

 

 

 

2) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 52 playing cards.

 

A: The result is a club.

 

B: The result is a king.

 

A) not mutually exclusive B) mutually exclusive

 

2 Use the Addition Rule to Find Probabilities

 

1) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart.

 

A) 4/13

 

B) 7/52

 

C) 17/52

 

D) 3/13

 

 

 

2) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a black card.

 

A) 7/13

 

B) 15/26

 

C) 29/52

 

D) 4/13

 

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