Concept explainers
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)

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)

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)

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)

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)

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)

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.
Want to see more full solutions like this?
Chapter 1 Solutions
ALEKS 360 ELEM STATISTICS
- An environmental research team is studying the daily rainfall (in millimeters) in a region over 100 days. The data is grouped into the following histogram bins: Rainfall Range (mm) Frequency 0-9.9 15 10 19.9 25 20-29.9 30 30-39.9 20 ||40-49.9 10 a) If a random day is selected, what is the probability that the rainfall was at least 20 mm but less than 40 mm? b) Estimate the mean daily rainfall, assuming the rainfall in each bin is uniformly distributed and the midpoint of each bin represents the average rainfall for that range. c) Construct the cumulative frequency distribution and determine the rainfall level below which 75% of the days fall. d) Calculate the estimated variance and standard deviation of the daily rainfall based on the histogram data.arrow_forwardAn electronics company manufactures batches of n circuit boards. Before a batch is approved for shipment, m boards are randomly selected from the batch and tested. The batch is rejected if more than d boards in the sample are found to be faulty. a) A batch actually contains six faulty circuit boards. Find the probability that the batch is rejected when n = 20, m = 5, and d = 1. b) A batch actually contains nine faulty circuit boards. Find the probability that the batch is rejected when n = 30, m = 10, and d = 1.arrow_forwardTwenty-eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the first column is the count per branch, the second column is the stem value, and the remaining digits are the leaves. a) List all the values. Count 1 Stems Leaves 4 6 1 4 6 567 9 3688 026799 9 8 145667788 7 9 1234788 b) Calculate the first quartile (Q1) and the third Quartile (Q3). c) Calculate the interquartile range. d) Construct a boxplot for this data.arrow_forward
- Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3). If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}. Using the lone-divider method, how many different fair divisions of this cake are possible?arrow_forwardTheorem 2.6 (The Minkowski inequality) Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and E|Y P <00. Then X+YpX+Yparrow_forward
- Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and set Var X = 0². Then, for 0 0, P(X > x) ≤e-x+1²² P(|X|>x) ≤2e-1x+1²² (ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for x > 0. and 0x) ≤2 exp Σ k=1 (iii) If, in addition, X1, X2, X, are identically distributed, then P(S|x) ≤2 expl-tx+nt²o).arrow_forwardTheorem 5.1 (Jensen's inequality) state without proof the Jensen's Ineg. Let X be a random variable, g a convex function, and suppose that X and g(X) are integrable. Then g(EX) < Eg(X).arrow_forwardCan social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.arrow_forward
- Question: we know that for rt. (x+ys s ا. 13. rs. and my so using this, show that it vye and EIXI, EIYO This : E (IX + Y) ≤2" (EIX (" + Ely!")arrow_forwardTheorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . |EXY ≤ E|XY|||X|| ||||qarrow_forwardTheorem 7.6 (Etemadi's inequality) Let X1, X2, X, be independent random variables. Then, for all x > 0, P(max |S|>3x) ≤3 max P(S| > x). Isk≤narrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill


