Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 1.1, Problem 1AC
Read the following on attendance and grades, and answer the questions.
A study conducted at Manatee Community College revealed that students who attended class 95 to 100% of the time usually received an A in the class. Students who attended class 80 to 90% of the time usually received a B or C in the class Students who attended class less than 80% of the time usually received a D or an F or eventually withdrew from the class.
Based on this information, attendance and grades are related. The more you attend class, the more likely it is you will receive a higher grade. If you improve your attendance, your grades will probably improve. Many factors affect your grade in a course. One factor that you have considerable control over is attendance. You can increase your opportunities for learning by attending class more often.
1. What are the variables under study?
2. What are the data in the study?
3. Are descriptive, inferential, or both types of statistics used?
4. What is the population under study?
5. Was a sample collected? If so, from where?
6. From the information given, comment on the relationship between the variables.
(1)
Expert Solution
To determine
The variables under study.
Answer to Problem 1AC
The variables under study are grades and attendance.
Explanation of Solution
Justification:
A variable is a symbolic representation of a quantity which is likely to vary or change. It is generally a quantity or number that is measured.
The study conducted was based on attendance and grades. These parameters are likely to change and it measured for conducting the study. So, it grades and attendance is variable. The values of these variables changes with different set of data.
Therefore, the variables under study are grades and attendance.
(2)
Expert Solution
To determine
The data under study.
Answer to Problem 1AC
The data under study consists of specific grades and attendance numbers.
Explanation of Solution
The given information is that the study revealed the below results on the percentage of students who attended the class and grades received by the students.
| Percentage of students attended the class | Grades |
| 95 to 100% | A |
| 80 to 90% | B or C |
| less than 80% | D or an F or eventually withdrew from the class |
Justification:
Data refers to the collection of facts or figures from which inferences can be drawn. The data helps us to compare and analyze about the figures.
Grades are characterized to be specific for every student and attendance can be counted in numbers. In the given survey, based on the attendance of the students the grades received by the students are analyzed.
Therefore, the data under study are specific grades and attendance numbers.
(3)
Expert Solution
To determine
To find: Whether descriptive, inference or both type of statistics is used.
Answer to Problem 1AC
The statistics which is used is descriptive statistics.
Explanation of Solution
Justification:
Descriptive statistics:
Descriptive statistics deals with arranging, tabulating, summarizing and displaying the data.
Manatee Community College has classified their students in different class levels on the basis of their attendance, which summarizes the number of students in each class level.
It organizes and summarizes the data.
Therefore, the statistics used is descriptive statistics.
(4)
Expert Solution
To determine
The population under study.
Answer to Problem 1AC
The population under study is all the students of Manatee Community College (MCC).
Explanation of Solution
Justification:
Population:
Population consists of people, objects, events and measurements. A population can be a common feature that can be grouped together.
Here, the study deals with the students in Manatee Community College.
Therefore, the population under study is all the students of Manatee Community College.
(5)
Expert Solution
To determine
Whether the sample was collected or not and from where it was collected.
Answer to Problem 1AC
The sample is data is collected from Manatee Community College.
Explanation of Solution
Justification:
Sample:
The information about the population is obtained from the sample. That is, a sample is considered to be a subset of the given population.
The study was conducted on students going to Manatee Community College. The students are taken as sample data. Hence, the sample was collected from Manatee Community College.
(6)
Expert Solution
To determine
To explain: The relationship between the variables.
Answer to Problem 1AC
The grades are higher when the attendance is higher.
Explanation of Solution
Justification:
Here, as the attendance increases, the grades obtained by the students also increases. Hence, if the attendance rate increases, then the grades are higher.
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
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A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 1 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 1.1 - Read the following on attendance and grades, and...Ch. 1.1 - Define statistics.Ch. 1.1 - What is a variable?Ch. 1.1 - What is meant by a census?Ch. 1.1 - How does a population differ from a sample?Ch. 1.1 - Explain the difference between descriptive and...Ch. 1.1 - Name three areas where probability is used.Ch. 1.1 - Why is information obtained from samples used more...Ch. 1.1 - What is meant by a biased sample?Ch. 1.1 - determine whether descriptive or inferential...
Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.2 - Applying the Concepts 1-2 Fatal Transportation...Ch. 1.2 - Explain the difference between qualitative...Ch. 1.2 - Prob. 2ECh. 1.2 - Why are continuous variables rounded when they are...Ch. 1.2 - Name and define the four types of measurement...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - give the boundaries of each value. 17. 24 feelCh. 1.2 - give the boundaries of each value. 18. 6.3...Ch. 1.2 - give the boundaries of each value. 19. 143 milesCh. 1.2 - give the boundaries of each value. 20. 19.63 tonsCh. 1.2 - give the boundaries of each value. 21. 200.7 milesCh. 1.2 - give the boundaries of each value. 22. 19 quartsCh. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.3 - Applying the Concepts 13 American Culture and Drug...Ch. 1.3 - Name five ways that data can be collected.Ch. 1.3 - What is meant by sampling error and nonsampling...Ch. 1.3 - Why are random numbers used in sampling, and how...Ch. 1.3 - Name and define the four basic sampling methods.Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 5-10, define a population that may...Ch. 1.3 - indentify the sampling method that was used. 11....Ch. 1.3 - indentify the sampling method that was used. 12....Ch. 1.3 - indentify the sampling method that was used. 13....Ch. 1.3 - indentify the sampling method that was used. 14....Ch. 1.3 - indentify the sampling method that was used. 15....Ch. 1.3 - indentify the sampling method that was used. 16....Ch. 1.4 - Todays Cigarettes Vapor or electronic cigarettes...Ch. 1.4 - Explain the difference between an observational...Ch. 1.4 - Prob. 2ECh. 1.4 - List some advantages and disadvantages of an...Ch. 1.4 - List some advantages and disadvantages of an...Ch. 1.4 - What is the difference between an experimental...Ch. 1.4 - What is the difference between independent...Ch. 1.4 - Why are a treatment group and a control group used...Ch. 1.4 - Explain the Hawthorne effect.Ch. 1.4 - What is a confounding variable?Ch. 1.4 - Define the placebo effect in a statistical study.Ch. 1.4 - Prob. 11ECh. 1.4 - Why do researchers use randomization in...Ch. 1.4 - Prob. 13ECh. 1.4 - Prob. 14ECh. 1.4 - determine whether an observational study or an...Ch. 1.4 - determine whether an observational study or an...Ch. 1.4 - determine whether an observational study or an...Ch. 1.4 - determine whether an observational study or an...Ch. 1.4 - identify the independent variable and the...Ch. 1.4 - identify the independent variable and the...Ch. 1.4 - Prob. 21ECh. 1.4 - Prob. 22ECh. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - Prob. 25ECh. 1.4 - suggest some confounding variables that the...Ch. 1.4 - For Exercises 2731, give a reason why the...Ch. 1.4 - Here is the whole truth about back pain.Ch. 1.4 - For Exercises 2731, give a reason why the...Ch. 1.4 - give a reason why the statement made might be...Ch. 1.4 - Prob. 31ECh. 1.4 - List the steps you should perform when conducting...Ch. 1.4 - Prob. 33ECh. 1.4 - Comment on the following statement, taken from a...Ch. 1.4 - In an ad for women, the following statement was...Ch. 1.4 - Prob. 36ECh. 1.4 - Prob. 37ECh. 1.4 - An ad for an exercise product stated: Using this...Ch. 1.4 - Prob. 39ECh. 1.4 - Just l capsule of Brand X can provide 24 hours of...Ch. 1.4 - Male children born to women who smoke during...Ch. 1.4 - Caffeine and Health In the 1980s, a study linked...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - Classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - give the boundaries of each value. 35. 56 yards.Ch. 1 - give the boundaries of each value. 36. 105.4...Ch. 1 - give the boundaries of each value. 37. 72.6 tons.Ch. 1 - give the boundaries of each value. 38. 9.54...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - identify each study as being either observational...Ch. 1 - identify each study as being either observational...Ch. 1 - identify each study as being either observational...Ch. 1 - identify each study as being either observational...Ch. 1 - For Exercises 4952, identify the independent and...Ch. 1 - identify the independent and dependent variables...Ch. 1 - identify the independent and dependent variables...Ch. 1 - identify the independent and dependent variables...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - For Exercises 5358, explain why the claims of...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - Determine whether each statement is true or false....Ch. 1 - Determine whether each statement is true or false....Ch. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - Prob. 5CQCh. 1 - The height of basketball players is considered a...Ch. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Select the best answer. 9. What are the boundaries...Ch. 1 - Select the best answer. 10. A researcher divided...Ch. 1 - Prob. 11CQCh. 1 - Select the best answer. 12. A study that involves...Ch. 1 - Prob. 13CQCh. 1 - Two major branches of statistics are _____ and...Ch. 1 - Prob. 15CQCh. 1 - The group of all subjects under study is called...Ch. 1 - A group of subjects selected from the group of all...Ch. 1 - Three reasons why samples are used in statistics:...Ch. 1 - The four basic sampling methods are a. ______ b....Ch. 1 - Prob. 20CQCh. 1 - Prob. 21CQCh. 1 - For each statement, decide whether descriptive or...Ch. 1 - Classify each as nominal-level, ordinal-level,...Ch. 1 - Classify each variable as discrete or continuous....Ch. 1 - Give the boundaries of each. a. 32 minutes b. 0.48...
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