Question 1

Solve the problem.
-Here are prices (in dollars) of 12 lightweight mountain bikes. Find the range.

Accepted Answer

A)  $910 
B)  $895 
C)  $940 
D)  $925 
A)  $910 
B)  $895 
C)  $940 
D)  $925

Question 2

Obtain the population standard deviation,σ, for the given data. Assume that the data represent population data. Round
your final answer to one more decimal place than that used for the observations.
-The normal annual precipitation (in inches) is given below for 8 different U.S. cities. 
19.2 17.8 6.5 13.2
19.6 17.6 9.6 6.8

Accepted Answer

A)  5.17 
B)  7.59 
C)  5.52 
D)  26.69 
A)  5.17 
B)  7.59 
C)  5.52 
D)  26.69

Question 3

Identify the following as an experiment or an observational study.
-A researcher obtained a random sample of women with children and a random sample of women without children and compared the rates of clinical depression in the two groups.

Accepted Answer

A)  Experiment 
B)  Observational study 
A)  Experiment 
B)  Observational study

Question 4

Find the median for the given sample data.
-The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.83 1.23 0.80 1.62 0.87 0.88 1.35
1.23 1.53 0.94 0.83 1.00 1.37 0.76
0.47 1.00 0.88 1.37 1.72 0.87 0.56

Accepted Answer

A)  1.23 oz 
B)  0.85 oz 
C)  0.76 oz 
D)  0.94 oz 
A)  1.23 oz 
B)  0.85 oz 
C)  0.76 oz 
D)  0.94 oz

Question 5

Find the weighted average.
-The table shows the average daily rainfall (in millimeters) in each month of 2009 in one US city. Find the weighted average of these amounts using the number of days in the month as the weight.

Accepted Answer

A)  2.67 mm 
B)  2.74 mm 
C)  2.66 mm 
D)  2.59 mm 
A)  2.67 mm 
B)  2.74 mm 
C)  2.66 mm 
D)  2.59 mm

Question 6

Identify whether the number described is a parameter or a statistic.
-The average height of American women is 63.8".

Accepted Answer

A)  Statistic 
B)  Parameter 
A)  Statistic 
B)  Parameter

Question 7

Identify whether the average described is a mean, median, or mode.
-To get an A in his math class, Benjamin needs an average of 85 in the four exams. His average score on the first three exams was 82.

Accepted Answer

A)  Mode 
B)  Mean 
C)  Median 
A)  Mode 
B)  Mean 
C)  Median

Question 8

Find the normal probability using a grapher.
-P(z < 1.5)

Accepted Answer

A)  0.067 
B)  0.761 
C)  0.520 
D)  0.933 
A)  0.067 
B)  0.761 
C)  0.520 
D)  0.933

Question 9

Find the probability.
-A 7-card hand is dealt from a deck of 52 cards. What is the probability that all 7 cards are hearts?

Accepted Answer

A)  0.0000513 
B)  0.0000128 
C)  0.0000610 
D)  0.250 
A)  0.0000513 
B)  0.0000128 
C)  0.0000610 
D)  0.250

Question 10

Obtain the population standard deviation,σ, for the given data. Assume that the data represent population data. Round
your final answer to one more decimal place than that used for the observations.
-The test scores of 9 students are listed below. 
47 73 74
79 77 73
75 53 43

Accepted Answer

A)  176.9 
B)  13.3 
C)  199.0 
D)  14.1 
A)  176.9 
B)  13.3 
C)  199.0 
D)  14.1

Question 11

Solve the problem.
-Four boys and three girls are seated in a row, at random, to watch a play. What is the probability that 
a) a girl is seated at each end of the row?
b) one of the boys is seated in the middle seat?
c) boys and girls are seated alternately?

Accepted Answer

A)  a) 37 b) 47 c) 17 
B)  a) 17 b) 37 c) 351 
C)  a) 17 b) 47 c) 351 
D)  a) 27 b) 17 c) 351 
A)  a) 37 b) 47 c) 17 
B)  a) 17 b) 37 c) 351 
C)  a) 17 b) 47 c) 351 
D)  a) 27 b) 17 c) 351

Question 12

Solve the problem.
-What is the probability that 15 flips of a coin will show exactly 7 tails?

Accepted Answer

A)  0.3928 
B)  0.1964 
C)  0.0393 
D)  0.0982 
A)  0.3928 
B)  0.1964 
C)  0.0393 
D)  0.0982

Question 13

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
-Tails on all but one dime

Accepted Answer

A)  204811 
B)  12 
C)  2048915 
D)  11332048 
A)  204811 
B)  12 
C)  2048915 
D)  11332048

Question 14

Find the probability of the event.
-Give the probability that the roll of a die will show a number less than 4.

Accepted Answer

A)  13 
B)  14 
C)  23 
D)  12 
A)  13 
B)  14 
C)  23 
D)  12

Question 15

Find the probability.
-A 7-card hand is dealt from a deck of 52 cards. What is the probability that the hand includes all four kings?

Accepted Answer

A)  0.00391 
B)  0.00000369 
C)  0.000129 
D)  0.135 
A)  0.00391 
B)  0.00000369 
C)  0.000129 
D)  0.135

Question 16

Identify the following as an experiment or an observational study.
-A high school student wonders if there is a correlation between the average life span of an animal and the
number of letters in its name. She gathers the following data:
 
She obtains a high correlation coefficient of 0.98 and concludes that using a linear model, the number of letters in an
animal's name can be used to predict its average life span.

Accepted Answer

Incorrect. One of the animals - the gala

Question 17

Describe the shape of the distribution.
-A histogram for the heights of a sample of adult women is shown below.

Accepted Answer

A)  Left skewed, unimodal 
B)  Symmetric, unimodal 
C)  Bimodal 
D)  Right skewed, unimodal 
A)  Left skewed, unimodal 
B)  Symmetric, unimodal 
C)  Bimodal 
D)  Right skewed, unimodal

Question 18

Describe the shape of the distribution.
-A stemplot is given below for the annual precipitation in one U.S. city for 28 consecutive years. Precipitation data are in inches.

Accepted Answer

A)  Left skewed, unimodal 
B)  Right skewed, unimodal 
C)  Symmetric, unimodal 
D)  Bimodal 
A)  Left skewed, unimodal 
B)  Right skewed, unimodal 
C)  Symmetric, unimodal 
D)  Bimodal

Question 19

Find the probability of the event.
-A coin and a six-sided die are tossed. What is the probability of getting tails and a number less than or equal to 5?

Accepted Answer

A)  43 
B)  125 
C)  13 
D)  56 
A)  43 
B)  125 
C)  13 
D)  56

Question 20

Solve the problem.
-Suppose you receive a shipment of 26 CD players, two of which are defective. What is the probability of picking a sample of 4 CD players with two bad CD players in it? (Round approximations to the nearest thousandth.)

Accepted Answer

A)  1 
B)  0.018 
C)  0.711 
D)  0.022 
A)  1 
B)  0.018 
C)  0.711 
D)  0.022

Solve the problem. -Here are prices (in dollars) of 12 lightweight mountain bikes. Find the range.

Identify the following as an experiment or an observational study. -A researcher obtained a random sample of women with children and a random sample of women without children and compared the rates of clinical depression in the two groups.

Find the median for the given sample data. -The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.83 1.23 0.80 1.62 0.87 0.88 1.35 1.23 1.53 0.94 0.83 1.00 1.37 0.76 0.47 1.00 0.88 1.37 1.72 0.87 0.56

Find the weighted average. -The table shows the average daily rainfall (in millimeters) in each month of 2009 in one US city. Find the weighted average of these amounts using the number of days in the month as the weight.

Identify whether the number described is a parameter or a statistic. -The average height of American women is 63.8".

Identify whether the average described is a mean, median, or mode. -To get an A in his math class, Benjamin needs an average of 85 in the four exams. His average score on the first three exams was 82.

Find the normal probability using a grapher. -P(z < 1.5)

Find the probability. -A 7-card hand is dealt from a deck of 52 cards. What is the probability that all 7 cards are hearts?

Obtain the population standard deviation,σ, for the given data. Assume that the data represent population data. Round your final answer to one more decimal place than that used for the observations. -The test scores of 9 students are listed below. 47 73 74 79 77 73 75 53 43

Solve the problem. -Four boys and three girls are seated in a row, at random, to watch a play. What is the probability that a) a girl is seated at each end of the row? b) one of the boys is seated in the middle seat? c) boys and girls are seated alternately?

Solve the problem. -What is the probability that 15 flips of a coin will show exactly 7 tails?

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event. -Tails on all but one dime

Find the probability of the event. -Give the probability that the roll of a die will show a number less than 4.

Find the probability. -A 7-card hand is dealt from a deck of 52 cards. What is the probability that the hand includes all four kings?

Describe the shape of the distribution. -A histogram for the heights of a sample of adult women is shown below.

Describe the shape of the distribution. -A stemplot is given below for the annual precipitation in one U.S. city for 28 consecutive years. Precipitation data are in inches.

Find the probability of the event. -A coin and a six-sided die are tossed. What is the probability of getting tails and a number less than or equal to 5?

Solve the problem. -Suppose you receive a shipment of 26 CD players, two of which are defective. What is the probability of picking a sample of 4 CD players with two bad CD players in it? (Round approximations to the nearest thousandth.)

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 10: Statistics and Probability