L12 Exercises_ Möbius Lesson 12B Homework
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Brigham Young University, Idaho *
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108
Subject
Mathematics
Date
Feb 20, 2024
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Pages
11
Uploaded by ConstableAlpacaMaster973
9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
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[IMPRIMIR]
Math for the Real World: Section A2 (SU23)
,
Karen Segura, 01/09/2023 at 13:50:44 MDT
Questão1:
Pontuação 1/1
Patrick flipped his lucky coin 12 times and got 7 heads. Patrick used these numbers to estimate the probability of getting
a head with his lucky coin.
What is the estimated probability of Patrick flipping a head with his lucky coin?
Sua resposta
Resposta Correta:
0.583
Auto graded
Nota:
1/1.0 (Write your answer as a decimal rounded to 3 decimal places)
Find the margin of error for Patrick's estimated probability above.
Sua resposta
Resposta Correta:
0.289
Auto graded
Nota:
1/1.0 (Write your answer as a decimal rounded to 3 decimal places)
Create a confidence interval for the chance of flipping a head with Patrick's lucky coin.
Sua resposta
Resposta Correta:
0.304
Auto graded
Nota:
1/1.0 to
Sua resposta
Resposta Correta:
0.862
Auto graded
Nota:
1/1.0 (Write your answers as a decimal rounded to 3 decimal places)
Can Patrick conclude that the probability of flipping a head with his lucky coin is actually different from 0.5?
Sua resposta
Resposta Correta:
Escolha 3:
No, the 95% confidence interval contains 50% as a possibility
so it would be illogical to think that Patrick's lucky coin has a
probability different from 0.5 based on his sample of data.
Auto graded
Nota:
1/1.0 Nota total:: 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 1.0×1/5 = 20% + 20% + 20% + 20% + 20%
9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
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Questão2:
Pontuação 1/1
9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
https://byui.instructure.com/courses/255646/assignments/11329735?module_item_id=31233852
3/11
In 2013, the Public Religion Research Institute conducted a survey of 1,033 adults, 18 years of age or older, in the
continental United States. One of the questions on their survey was as follows:
How often do you watch college or professional sports?
(a) More than once a week [227 respondents selected this answer]
(b) Once a week [196 respondents selected this answer]
(c) Once or twice a month [114 respondents selected this answer]
(d) A few times a year [114 respondents selected this answer]
(e) Seldom [134 respondents selected this answer]
(f) Never [248 respondents selected this answer]
Complete the following probability model for the probability of each answer to this survey question.
Round the probabilities to three decimal places.
Sample Space (Question Answers)
Probability (Rounded to 2 decimals)
More than once a week
Sua resposta
Resposta Correta:
0.22
Auto graded
Nota:
1/1.0 Sua resposta
Resposta Correta:
once a week
Auto graded
Nota:
1/1.0 0.19
Once or twice a month
Sua resposta
Resposta Correta:
0.11
Auto graded
Nota:
1/1.0 A few times a year
Sua resposta
Resposta Correta:
0.11
Auto graded
Nota:
1/1.0 Sua resposta
Resposta Correta:
seldom
Auto graded
Nota:
1/1.0 0.13
Never
Sua resposta
Resposta Correta:
0.24
Auto graded
Nota:
1/1.0 Create a 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that watch
sports at least once a week. (Hint: this includes "More than once a week" and "Once a week" answers)
(
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9/1/23, 3:23 PM
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Sua resposta
Resposta Correta:
0.38
Auto graded
Nota:
1/1.0 , Sua resposta
Resposta Correta:
0.44
Auto graded
Nota:
1/1.0 )
Round the probability to two decimal places (answer as a decimal, not a percentage).
Nota total:: 1.0×1/8 + 1.0×1/8 + 1.0×1/8 + 1.0×1/8 + 1.0×1/8 + 1.0×1/8 + 1.0×1/8 + 1.0×1/8 = 13% + 13% + 13% + 13% + 13% +
13% + 13% + 13%
Questão3:
Pontuação 1/1
9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
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5/11
In 2013, the Public Religion Research Institute conducted a survey of 1,033 adults, 18 years of age or older, in the
continental United States. One of the questions on their survey was as follows:
On any given Sunday, are you more likely to only be in church, more likely to only be watching football, doing both, or
doing neither?
(a) To only be in church [269 respondents selected this answer]
(b) To only be watching football [175 respondents selected this answer]
(c) Doing both [217 respondents selected this answer]
(d) Doing neither [372 respondents selected this answer]
Complete the following probability model for the probability of each answer to this survey question.
Give your answer as a percentage
rounded to one decimal place.
Sample Space (Question Answers)
Probability (As a percentage, rounded to 1 decimal)
To only be in church
Sua resposta
Resposta Correta:
26
Auto graded
Nota:
1/1.0 %
To only be watching football
Sua resposta
Resposta Correta:
16.9
Auto graded
Nota:
1/1.0 %
Doing both
Sua resposta
Resposta Correta:
21
Auto graded
Nota:
1/1.0 %
Doing neither
Sua resposta
Resposta Correta:
36
Auto graded
Nota:
1/1.0 %
Create a 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are
"likely" to ONLY be in church on any given Sunday.
(
Sua resposta
Resposta Correta:
23
Auto graded
Nota:
1/1.0 % , Sua resposta
Resposta Correta:
29
Auto graded
Nota:
1/1.0
9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
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%)
Round to the nearest percentage
Nota total:: 1.0×1/6 + 1.0×1/6 + 1.0×1/6 + 1.0×1/6 + 1.0×1/6 + 1.0×1/6 = 17% + 17% + 17% + 17% + 17% + 17%
Questão4:
Pontuação 3/3
A major league baseball player went up to bat 381 times during a certain season. He had the following number of hits:
79 singles, 33 doubles, 10 triples and 16 home runs. He also had 133 strikeouts and 110 walks. (Some basic baseball
definitions are below)
What is the probability of him hitting a single when he comes to bat?
Sua resposta
Resposta Correta:
0.207
Auto graded
Nota:
1/1.0 (Round to three decimal places)
What is the probability he strikes out or walks when he comes to bat? Sua resposta
Resposta Correta:
0.638
Auto graded
Nota:
1/1.0 (Round to three decimal places)
If he gets a hit
, what is the probability it is a home run? Sua resposta
Resposta Correta:
0.116
Auto graded
Nota:
1/1.0 (Round to three decimal places)
(A single means the batter advanced to 1st base after hitting the ball. Similarly, a double means the batter advanced to
2nd base and a triple means the batter advanced to 3rd base. A home run means that after hitting the ball, the batter
advanced past all three bases and returned to home base to score. A strikeout means the batter does not hit the ball in
an approved way and does not advance to any base, a walk means the batter advances to 1st base because the
majority of pitches were not in an approved range for him to hit)
Nota total:: 1.0×1/3 + 1.0×1/3 + 1.0×1/3 = 33% + 33% + 33%
Questão5:
Pontuação 3/3
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9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
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7/11
At a high school basketball game the Lions and the Eagles are playing.
The Lions attempted 17 free throws and made 13, attempted 52 two-point shots and made 20, and attempted 15 three-
point shots and made 10.
The Eagles attempted 22 free throws and made 9, attempted 44 two-point shots and made 11, and attempted 15 three-
point shots and made 9.
(Free throws are worth 1 point each, two-point shots worth 2 points each, and three-point shots worth 3 points each)
What is the free throw percentage for the Lions? Sua resposta
Resposta Correta:
76.5
Auto graded
Nota:
1/1.0 % (Round the final percentage to one decimal place)
What is the free throw percentage for the Eagles? Sua resposta
Resposta Correta:
40.9
Auto graded
Nota:
1/1.0 % (Round the final percentage to one decimal place)
What is the field goal percentage (two-point and three-point shots combined) for the Lions? Sua resposta
Resposta Correta:
44.8
Auto graded
Nota:
1/1.0 % (Round the final percentage to one decimal place)
What is the field goal percentage (two-point and three-point shots combined) for the Eagles? Sua resposta
Resposta Correta:
33.9
Auto graded
Nota:
1/1.0 % (Round the final percentage to one decimal place)
How many points did the Lions score?
Sua resposta
Resposta Correta:
83
Auto graded
Nota:
1/1.0 How many points did the Eagles score?
Sua resposta
Resposta Correta:
58
Auto graded
Nota:
1/1.0 Which team won the basketball game? Sua resposta
Resposta Correta:
Lions
Auto graded
Nota:
1/1.0
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Nota total:: 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 = 14% + 14% + 14% + 14% + 14% + 14% +
14%
Questão6:
Pontuação 2/2
Gerry is registering for classes next semester. He uses the Quantitative Reasoning Process to decide between two
teachers, Dr. Anderson, and Dr. Bean . He speaks to 20 friends that previously took the course from Dr. Anderson and
also speaks to 19 friends that took it from Dr. Bean. Eight of his friends said they highly recommend Dr. Anderson.
Eleven of his friends highly recommend Dr. Bean.
Based on Gerry's minimal study, what percent of students "highly recommend" Dr. Anderson?
Sua resposta
Resposta Correta:
40
Auto graded
Nota:
1/1.0 % (Round the final percentage to one decimal place)
What percent "highly recommend" Dr.Bean?
Sua resposta
Resposta Correta:
57.9
Auto graded
Nota:
1/1.0 % (Round the final percentage to one decimal place)
To be statistically accurate in his decision, Gerry decides to create a 95% confidence interval for his two percentages.
What values does he find for each confidence interval?
Confidence interval for the true proportion that
"highly recommend" Dr Anderson
:
(Enter the low value in the first blank and the high value in the second blank. Round values to one decimal place)
Sua resposta
Resposta Correta:
17.6
Auto graded
Nota:
1/1.0 %,
to
Sua resposta
Resposta Correta:
62.4
Auto graded
Nota:
1/1.0 %
Confidence interval for the true proportion that
"highly recommend" Dr. Bean
:
(Enter the low value in the first blank and the high value in the second blank. Round values to one decimal place)
Sua resposta
Resposta Correta:
35
Auto graded
Nota:
1/1.0
9/1/23, 3:23 PM
Brigham Young University - Idaho - Lesson 12B Homework v2
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%,
to
Sua resposta
Resposta Correta:
80.8
Auto graded
Nota:
1/1.0 %
Do Gerry's confidence intervals show evidence that a greater percentage of students favor one teacher over the other? Sua resposta
Resposta Correta:
No, the confidence intervals overlap, so the percentages of
students that approve of each teacher are really the same as
far as we can tell.
Auto graded
Nota:
1/1.0 Nota total:: 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 + 1.0×1/7 = 14% + 14% + 14% + 14% + 14% + 14% +
14%
Questão7:
Pontuação 1/1
The table below shows which hand is favored by each person from a sample of 100 people (50 male and 50 female).
Use the information in the table to answer the following questions.
Left-Handed Right-Handed
Male
15
35
Female
10
40
Determine the probability that a randomly selected person from the sample will be female or left-handed.
Sua resposta
Resposta Correta:
65
Auto graded
Nota:
1/1.0 % (Round to the nearest whole percentage)
Compute a 95% confidence interval for the true proportion of the population that is left-handed.
Sua resposta
Resposta Correta:
15
Auto graded
Nota:
1/1.0 % to Sua resposta
Resposta Correta:
35
Auto graded
Nota:
1/1.0
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%
Compute a 95% confidence interval for the true proportion of the population that is right-handed.
Sua resposta
Resposta Correta:
65
Auto graded
Nota:
1/1.0 % to Sua resposta
Resposta Correta:
85
Auto graded
Nota:
1/1.0 %
Nota total:: 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 1.0×1/5 + 1.0×1/5 = 20% + 20% + 20% + 20% + 20%
Questão8:
Pontuação 1/1
If Russell takes a 25 question multiple choice test and receives a score of 48%, how many questions did he answer
correctly?
Sua resposta
Resposta Correta:
12
Auto graded
Nota:
1/1.0 If his teacher used a 95% confidence interval to correctly estimate the true percentage of correct answers that he should
have scored on this exam, what possible grades could the teacher reasonably assign to Russell?
Anything from Sua resposta
Resposta Correta:
28
Auto graded
Nota:
1/1.0 %
to Sua resposta
Resposta Correta:
68
Auto graded
Nota:
1/1.0 %
However, because Russell's teacher must pick only one number to represent his grade, what percentage will the teacher
typically assign as the grade?
Sua resposta
Resposta Correta:
48
Auto graded
Nota:
1/1.0 %
Nota total:: 1.0×1/4 + 1.0×1/4 + 1.0×1/4 + 1.0×1/4 = 25% + 25% + 25% + 25%
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