The administrators of a Faculty A were interested to understand personal characteristics of their students. They decided to conduct a survey and managed to get randomly 1625 students to respond to the survey. The same survey has been conducted for 3 years in a row and a summary report on students’ characteristics was produced. The first part of the survey was asking demographics questions on the students. The data in Table 1 show eight variables, each describing a different characteristic of the students taking the survey. For the data in the table, the description of the data is as follows: ID : An identifier for each of the individuals in the study. Gender : M for male and F for female Mathematics : To measure how much the student likes Mathematics courses (Really Don’t Like it, Not too much, I like it, Absolutely love it) Exercise : Number of times spent exercising per week Games : Number of hours spent playing online games per week GPA : Current grade point average on a 4-point scale Pulse : Pulse rate in number of beats per minute at the time of the survey Table 1: Sample of Result of student survey ID Gender Mathematics Exercise Games GPA Pulse 1 M Not too much 3-4 1 3.13 54 2 M Not too much More than 6 times 7 2.5 66 3 M Really Don’t Like it 0 5 2.55 130 … … 1623 M I like it 1-2 8 3.3 77 1624 F Not too much 1-2 6 2.8 60 1625 F Absolutely love it 0 1 3.7 94 1. Based on the case study, what is the : population: Answer primary data Answer 2. Identify the data type and its level of measurement for each data below: Data Data type Level of Measurement Exercise Answer Answer Games Answer Answer Pulse Answer Answer 3. This year, Faculty A decided to add a second part of the survey. They were interested in the student’s opinions on the new café in the faculty building. Identify if the possible answers are Qualitative or Quantitative Data: Questions Qualitative or Quantitative Data i. Why do think students like the new café? Answer ii. What is the suitable price for drinks served at the café? Answer
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
The administrators of a Faculty A were interested to understand personal characteristics of their students. They decided to conduct a survey and managed to get randomly 1625 students to respond to the survey. The same survey has been conducted for 3 years in a row and a summary report on students’ characteristics was produced.
The first part of the survey was asking demographics questions on the students. The data in Table 1 show eight variables, each describing a different characteristic of the students taking the survey. For the data in the table, the description of the data is as follows:
|
ID |
: |
An identifier for each of the individuals in the study. |
|
Gender |
: |
M for male and F for female |
|
Mathematics |
: |
To measure how much the student likes Mathematics courses (Really Don’t Like it, Not too much, I like it, Absolutely love it) |
|
Exercise |
: |
Number of times spent exercising per week |
|
Games |
: |
Number of hours spent playing online games per week |
|
GPA |
: |
Current grade point average on a 4-point scale |
|
Pulse |
: |
Pulse rate in number of beats per minute at the time of the survey |
Table 1: Sample of Result of student survey
|
ID |
Gender |
Mathematics |
Exercise |
Games |
GPA |
Pulse |
|
1 |
M |
Not too much |
3-4 |
1 |
3.13 |
54 |
|
2 |
M |
Not too much |
More than 6 times |
7 |
2.5 |
66 |
|
3 |
M |
Really Don’t Like it |
0 |
5 |
2.55 |
130 |
|
… |
|
|
|
|
|
|
|
… |
|
|
|
|
|
|
|
1623 |
M |
I like it |
1-2 |
8 |
3.3 |
77 |
|
1624 |
F |
Not too much |
1-2 |
6 |
2.8 |
60 |
|
1625 |
F |
Absolutely love it |
0 |
1 |
3.7 |
94 |
1. Based on the case study, what is the :
- population:
Answer - primary data
Answer
2. Identify the data type and its level of measurement for each data below:
|
Data |
Data type |
Level of Measurement |
|
Exercise |
Answer |
Answer |
|
Games |
Answer |
Answer |
|
Pulse |
Answer |
Answer |
3. This year, Faculty A decided to add a second part of the survey. They were interested in the student’s opinions on the new café in the faculty building. Identify if the possible answers are Qualitative or Quantitative Data:
|
|
Questions |
Qualitative or Quantitative Data |
|
i. |
Why do think students like the new café? |
Answer |
|
ii. |
What is the suitable price for drinks served at the café? |
Answer |
Step by step
Solved in 2 steps
