Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R. Construct back-to-back stem-and-leaf plots for these data sets. Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13: or are they roughly similar?

Question

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Answer 1

Textbook Question

Chapter 2.3, Problem 22E

Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 1

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 2

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 3

Construct back-to-back stem-and-leaf plots for these data sets.
Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13: or are they roughly similar?

a.

Expert Solution

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

b.

Expert Solution

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

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20 km, because GISS Worksheet 10 Jesse runs a small business selling and delivering mealie meal to the spaza shops. He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of mealle meal he delivers. The table below helps him to calculate what to charge his customers. 10 20 30 40 50 Packets of mealie meal (m) Total costs in Rands 80 235 390 545 700 855 (c) 10.1. Define the following terms: 10.1.1. Independent Variables 10.1.2. Dependent Variables 10.2. 10.3. 10.4. 10.5. Determine the independent and dependent variables. Are the variables in this scenario discrete or continuous values? Explain What shape do you expect the graph to be? Why? Draw a graph on the graph provided to represent the information in the table above. TOTAL COST OF PACKETS OF MEALIE MEAL 900 800 700 600 COST (R) 500 400 300 200 100 0 10 20 30 40 60 NUMBER OF PACKETS OF MEALIE MEAL

Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).

Answer 2

Textbook Question

Chapter 2.3, Problem 22E

Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 1

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 2

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 3

Construct back-to-back stem-and-leaf plots for these data sets.
Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13: or are they roughly similar?

a.

Expert Solution

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

b.

Expert Solution

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

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Answer 3

Textbook Question

Chapter 2.3, Problem 22E

Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 1

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 2

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 3

Construct back-to-back stem-and-leaf plots for these data sets.
Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13: or are they roughly similar?

a.

Expert Solution

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

b.

Expert Solution

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

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Answer 4

Textbook Question

Chapter 2.3, Problem 22E

Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 1

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 2

Chapter 2.3, Problem 22E, Pass the popcorn: Following are the running times (in minutes) for the top 15 grossing movies of all , example 3

Construct back-to-back stem-and-leaf plots for these data sets.
Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13: or are they roughly similar?

a.

Expert Solution

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

b.

Expert Solution

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

b.

Expert Solution

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

Answer 8

a.

Expert Solution

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To construct: A back-to-back slit stem-and-leaf plot for the data set.

Answer 13

Explanation of Solution

Given information:

The Following table represents the running times (in minutes) for the top 15 grossing movies

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

The back-to-back slit stem-and-leaf plot for the data set is given by

In the above back-to-back slit stem-and-leaf plot, Leaf 1 displays the lengths of time of the PG-13 movies and Leaf 2 does so for the R rated movies.

Answer 14

b.

Expert Solution

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

Answer 15

b.

Expert Solution

Answer 16

b.

Expert Solution

Answer 17

Expert Solution

Answer 18

To determine

To explain: Whether the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or they roughly similar.

Answer 19

Explanation of Solution

Given information: Following are the running times (in minutes) for the top 15 grossing movies of all time rated PG-13, and the top 15 grossing movies of all time rated R.

Movies Rated PG-13

Star Wars: The force Awakens	136
Avatar	162
Titanic	194
Jurassic Park	124
The Avengers	143
The Dark Knight	152
Avengers: Age of Ultron	141
The Dark Knight Rises	164
The Hunger Games: Catching Fire	146
Pirates of the Caribbean: Dead Man’s Chest	151
Iron Man 3	129
The Hunger Games	142
Captain Americs: Civil War	147
Spider-Man	121
Jurassic Park	127

Movies Rated R

The Passion of the Christ	126
Deadpool	106
American Sniper	132
The Matrix Reloaded	138
The Hangover	96
The Hangover Part II	102
Beverly Hills Cop	105
The Exorcist	122
Ted	106
Saving Private Ryan	170
300	117
Wedding Crashers	113
Terminator 2: Judgment Day	137
22 Jump Street	112
Gladiator	155

The back-to-back slit stem-and-leaf plot for the data set is given by

From the above back-to-back slit stem-and-leaf plot, the R-rated movies tend to be shorter.

Therefore, they differ greatly.

Answer 20

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