BUS1BAN Individual Research Project
An insight into market share and usage of mobile phones by
students studying BUS1BAN at La Trobe University
Part A: Sampling
Q1. What sampling plan did you employ to select your sample of 370 observations? [0.5 mark]
Q2. Suppose a student opinion survey is to be conducted in order to determine whether breakout rooms should be used during online Zoom classes. Use your own words and describe a possible way to obtain a stratified random sample among all students who are taking BUS1BAN during Semester 2, 2021. [0.5 mark]
Part B: Descriptive Statistics
Q3. Analysis on phone brand proportion:
- In the following table, report proportion of the students based on mobile phone brands in your sample. [1 mark]
Phone Brand | Sample Proportion (in percentage form) |
Apple | |
Samsung | |
LG | |
Basic mobile phone | |
Other smartphone | |
Do not use mobile phone |
- Use an appropriate chart (properly labelled) to display information in Q3-a above, and provide brief interpretation on the chart. [1 mark]
Q4. Investigating the relationship between mobile phone brands and student gender:
- Complete the following cross classification table of gender by mobile phone brand. [1.5 marks]
Brand | ||||||||
Apple | Samsung | LG | Basic mobile phone |
Other smart phone |
Do not use mobile phone |
Total | ||
Gender | Male | |||||||
Female | ||||||||
Total |
- Derive a relative frequency cross classification table based on row totals (i.e., gender) using the table in Q4-a above. [1.5 marks]
Brand | ||||||||
Apple | Samsung | LG | Basic mobile phone |
Other smart phone |
Do not use mobile phone |
Total | ||
Gender | Male | |||||||
Female | ||||||||
Total |
- Use an appropriate graph to display the information contained in the cross-classification table of row relative frequencies above. Decide whether there is a relationship between mobile phone brands and the gender. [1 mark]
- Estimate the 95% confidence interval for the proportion of iPhone (Apple Inc.) users in your sample of 370 students. Briefly interpret your answer. [1.5 marks]
Q5. Investigating the relationship between earnings and money spent on mobile phone:
- In the following table, report average monthly earnings and mobile bill of students by gender in your sample. [2 marks]
Female | Male | |
Average Monthly Earnings ($) | ||
Average Monthly Bill ($) |
- Estimate the 95% confidence interval of the average monthly bill for female students, and interpret your answer. [1.5 marks]
- Produce a scatter plot (showing trend line, linear equation and R-squared) using Excel, to show the relationship between earnings and money spent on mobile phone for female students. Then interpret the linear equation and R-squared in the scatter plot for female students. [2 marks]
Q6. Frequency, relative frequency, and cumulative relative frequency
- Construct a frequency and cumulative relative frequency distribution using the bill data of male students (i.e., complete the table below). [3 marks]
Earnings Class | Frequency | Relative
Frequency |
Cumulative
Relative Frequency |
$0 ≤ Bill < $60 | |||
$60 ≤ Bill < $120 | |||
$120 ≤ Bill < $180 | |||
$180 ≤ Bill < $240 | |||
$240 ≤ Bill < $300 | |||
$300 ≤ Bill |
- Construct a relative frequency histogram and an ogive for the bill data of male students, using the frequency distribution table in Q6-a above. [1 mark]
Part C: Summary and Discussion
Q7. Briefly discuss how to determine the relationship between two nominal variables, and how to determine the relationship between two numerical variables. (Note: Use your own words, and talk about the methods in general. No additional calculation is required.) [2 marks]
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