SDST1303 Introduction to Statistics Assignment Answers
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ASSIGNMENT QUESTION
QUESTION 1
A researcher has conducted a study on the importance of environmental sustainability in preserving recources like clean air, water, wildlife for future generations. The following table represents the responses of 50 randomly selected respondents in this survey.
| very important | important | fairly important | very important | fairly important | important |
| important | slightly important | not important | fairly important | important | very important |
| fairly important | fairly important | important | very important | very important | important |
| important | very important | important | slightly important | fairly important | fairly important |
| fairly important | slightly important | not important | very important | important | important |
| important | very important | important | slightly important | fairly important | fairly important |
| fairly important | slightly important | not important | very important | important | important |
| important | slightly important | not important | fairly important | important | very important |
| very important | important | ||||
- Construct a frequency table to represent the data above.
- Calculate the relative frequency for each type of response.
- Develop a bar chart for the distribution.
- Based on your bar chart in c), describe the distribution of this survey.
- This study use the 5-point Likert Scale as below:
| not important | slightly important | fairly important | important | very important |
| 1 | 2 | 3 | 4 | 5 |
Calculate the following:
- mean
- mode
- median
- variance
- standard deviation
- Pearson’s coefficient of skewness
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QUESTION 2
A researcher conduct a study on the relation of the highest academic qualification with the household income classification (B40, M40, T20) of 300 households which were randomly selected.
| Diploma | Bachelor Degree | Master’s Degree | Total | |
| B40 | 25 | 20 | 10 | 55 |
| M40 | 35 | 60 | 57 | 152 |
| T20 | 15 | 35 | 43 | 93 |
| Total | 75 | 115 | 110 | 300 |
If one household is randomly selected, answer the following questions:
- Draw a tree diagram to represent the table above.
- What is the probability of selecting a household with the highest academic qualification is diploma AND a B40 income classification?
- What is the probability of selecting a household with the highest academic qualification is bachelor degree OR a M40 income classification?
- What is the probability of selecting a household with the highest academic qualification is master’s degree AND a T20 income classification?
- What is the probability of selecting a household with the highest academic qualification is diploma if we only select from a group of T20 income classification?
- Can we conclude that the household income classification is dependent with the highest academic qualification? Justify your answer.
QUESTION 3
Discuss ONE of the following topics in the OCP forum of myINSPIRE:
- The application of Poisson distribution in real-world application.
- The application of Binomial distribution in real-world application.
Instructions:
- You have to join a discussion group in the OCP forum and discuss the given topic.
- You may select any group to work with.
- Select the best FIVE (5) of your postings from the OCP forum.
- Do screenshots of your postings and include them as images in your assignment.
- The screenshots should be in image file (either in JPG or PNG format) and contain: Name, Title of the discussion, Day, Date and Time.