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:

  1. 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  

 

  1. 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:

  1. 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              

 

  1. 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              

 

  1. 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]

 

  1. 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:

  1. 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 ($)    
Average Monthly Bill ($)    
  1. Estimate the 95% confidence interval of the average monthly bill for female students, and interpret your answer. [1.5 marks]
  2. 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

  1. 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      
  1. 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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