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1.What proportion of the students in your sample are male and what proportion are female?

2.What is the average monthly bill of students by gender in your sample?

3.What is the average monthly earning of students by gender in your sample? Is there any relationship between earning and money spent on mobile usage?

4.Summarize the market share of each mobile phone brand by gender.

5.Is there a relationship between the earning of students and choice of mobile phone? Do high income earners use different phones than low and middle income earners?

6.iPhone and Samsung are two important players in the smartphone market who compete against each other. Samsung’s phones are generally sold cheaper than Apple’s smartphones. Summarize the relationship between potential market share and proposed discount offered by Samsung on its latest Galaxy vis-à-vis the latest iPhone. Does Samsung’s share, relative to Apple, increase or decrease with the discount offered by Samsung?7.Compare the discount and market-share relationship in question 6 above across gender?

8.Suppose, you randomly selected a student from the 2017 BUS1BAN class.

a.How likely is it that the student will be a female and how likely is it that the student will be a male. Provide 95% interval estimates and interpret your results.

b.How likely is it that the student will be using a smartphone? Provide 99% interval estimates and interpret your results.

9.What is the average monthly earning of male and female students at La Trobe? Provide 95% interval estimate and interpret your answer.

10.A US market survey shows that the market share of iPhone is more than 40% of the US market. Is this true for La Trobe students as well? Use your sample data to test this claim at 1%, 5% and 10% levels of significance and interpret your answers?

Proportion of Male and Female Students

A mobile device for the students is essential for their learning in the modern days (Norazah 2013). The mobile phone has proved to perform many functions less than the computer. The modern mobile phones have the touchscreen interface, internet access and system operations. The research studies the students demand for their smartphones in the learning systems. The paper studies students demand among the males and female students, average monthly bills, average income and the mobile brands.  

The sample technique was simple random sampling. The student’s sample of eighty was selected from the population of students from La Trobe University. The sample technique gave each student in the population the equal chances of being selected in the sample.

The data was analyzed using the descriptive statistics where measures of central tendencies were obtained. The inferential analyses were determined to show the relationships between the students earning and the choice of the phone. The preference of the phones depends ending on the discount Samsung and the iPhone.

Section A: Basic Analysis

Gender

Sample proportion

Females

35

Males

45

  1. b) The pie chart was used to identify the gender representation in the sample selected.
  1. c) The descriptive statistics which is the pie chart was used since give a clear representation of the males and females selected in the sample.
  2. Average monthly bills
  3. a)  

Females

Males

Average Monthly Bill ($)

81.48571

69.86644

  1. b) A bar graph
  1. c) The average monthly bill of the females is higher as compared to that of the males. The females being more in the sample selected their average monthly bill is higher than that of the males who are less than the females.
  1. Earning and money spent on mobile phones

Females

Males

Average monthly earning ($)

1362.389

1391.591

  1. b) In the cross tabulation below the show that the males earn more than the females. Despite the fact that males are earning more than the females they spend more on average on the average money spent on bills. 

Female

Males

Covariance

-0.03087

1.076991

Coefficient of covariance

-1.1256

1.684567

Coefficient of determination

0.019106

0.676609

Y-intercept

0.019661

0.12218

Slope

1318.8160

1391.591

Least Square Line

Y=1318.816+0.019661

Y=1391.591-0.12218

  1. d) The relationship in the above indicate that their exist relationship between the average amount earned and the average amount spent on the bills.

4) Market share of mobile phone brand

Apple

Samsung

LG

Don’t use mobile phone

Other smart phone

Basic mobile phone

Totals

Gender

Males

28

6

0

0

9

0

43

Females

32

3

2

0

0

0

37

Totals

60

9

2

0

9

0

80

Apple

Samsung

LG

Don’t use mobile phone

Other smart phone

Basic mobile phone

Totals

Gender

Males

0.6512

01395

0

0

0.2093

0

0.5375

Females

0.8649

0.0810

0.0541

0

0

0

0.4625

Totals

0.75

0.1125

0.025

0

0.1125

0

1

  1. b) Graphical representation of the graph
  1. c) There exist a significant difference in the market share of the mobile in gender the males and the female. The female gender has a preference of the Apple brand and LG over the other brands. The males selected in the sample have a higher preference of the Apple brand though Samsung and other smart phones are still used.

5) Relationship between the earning student and choice of mobile phone

  1. a) Average earning per brand

Brand

Apple

Samsung

LG

Don’t use mobile phone

Other smart phone

Basic mobile phone

Total

Average income ($)

1408.92

1674.4

1275

0

905.56

0

5263.88

  1. b) A graph of the average earning against the brand of the phone
  1. c) Income divided in categories

Income($)

Apple

Samsung

LG

Don’t use mobile phone

Other smart phone

Basic mobile phone

Totals

Low 0-2000

48

5

1

0

9

0

63

Medium 2000-4000

11

4

1

0

0

0

16

High 4000 & above

1

0

0

0

0

0

1

Totals

60

9

2

0

9

0

80

Income($)

Apple

Samsung

LG

Don’t use mobile phone

Other smart phone

Basic mobile phone

Totals

Low 0-2000

0.7619

0.079

0.015

0

0.14285

0

0.7875

Medium 2000-4000

0.6875

0.25

0.0625

0

0

0

0.2

High 4000 & above

1.000

0

0

0

0

0

0.0125

Totals

0.75

0.1125

0.025

0

0.1125

0

1

  1. d) A graph that represents the distribution of the phone brands across the income groups
  2. e) The choice of the phone and the average income are inversely related. The income group that earns less than $2000 tends to buy more expensive phones as compared to the those earning more than $4000.

6) The effect of price on preference (Samsung versus Apple)

Discount offered on Samsung Galaxy

Proportion of customers who said that they will buy the latest Samsung instead of iPhone given discount

                             X

                                                                                               Y

0%

17

5%

16

10%

17

15%

19

20%

24

25%

27

30%

39

35%

41

40%

48

45%

51

50%

56

  1. b)  Scatter plot
  1. c) Interpreting the statistics below

Statistics

Covariance

1.076991

Coefficient of correlation

1.684567

Coefficient of determination

0.676609

Y-intercept

0.12218

Slope

1391.591

Least Square Line

Y=1391.591-0.12218

  1. d) The apple brand is more preferred as compared to the Samsung product. The customers of the Apple brand are more loyal to their brand as compared to those of the Samsung product. The preference of the Samsung brand increase with the increase of the discount offered. The higher the discount the more customers tend to buy the Samsung brand. The Apple brand despite the discount offered for their competitors still has a higher number of customers. Thus we conclude that the apple brand has more loyal customers.

7.) The effect of price on preference & gender

Discount offered on Samsung Galaxy

Proportion of customers who said that they will buy the latest Samsung instead of iPhone given discount

                             X

Females

Males

Yf

Ym

0%

3

14

5%

3

13

10%

4

13

15%

4

15

20%

8

16

25%

9

18

30%

13

26

35%

15

26

40%

18

30

45%

19

32

50%

20

36

  1. b) A scatter plot of relationship between potential shares of males and females
  1. c) Difference between the statistics of the males and female

                                       Statistics

Females

Males

Covariance

Coefficient of correlation

Coefficient of determination

Y-intercept

Slope

Least Square Line

  1. d) The Samsung product in the market shares the sale as the Apple market. In both males and females the preference of the Samsung product increases with the discount being offered. The greater the percentage of the discount the more the buyers tend to go for the product. The Apple brand has more loyal customer as compared to those of the Samsung product and other products.

Section C: Advance scenarios

  1. Confidence interval

Gender

Females

Males

Sample proportion (p)

0.4375

0.5625

  1. Females 95% confidence interval

The graphical representation shows the interval in which a female will be selected in the sample using the random sampling technique.

  1. Males 95% confidence interval

The graph show the interval in which a male is to be selected from the sample. The range is a probability of 0.05.

  1. b)

Smart phone users

Sample population

80

The confidence interval show that the likelihood of selecting a male or female from the sample and being a user of a smart phone is within 100%.

9) Confidence intervals

Females

Males

Average monthly earning ($)

1362.389

1391.591

  1. b) Confidence interval for the genders

The females average earning lies $1300 and $1450 which is slightly more than that of the men

The confidence interval of the males is less as compared to that of the females. The males earn slightly less than the females.

  1. Hypothesis Testing

H0: Market share is equal to 40%

H1: Market share is more than 40%

Significant level (alpha=0.01)

32.0812 And 31.9188

We reject the null hypothesis and conclude that the market share of the iPhone is more than 40% of the US market.

Significant level (alpha=0.05

31.9216 And 32.0784

We reject the null hypothesis and conclude that the market share of the iPhone is more than $0% of the US market.

Significant level (alpha =0.10)

32.0512 And 31.9487

We reject the null hypothesis and conclude that the market share of the iPhone is more than $0% of the US market.

The smartphone is one of the most used devices in modern day. The smartphone is used in home, market and the workplace. The device is used in institution for learning and communication. It is highly appreciated by both the males and the females. There is a variety of the smartphone and their preferences differ across. The iPhone is more preferred as compared to LG and Samsung.

The sampling technique is the simple random sampling. The method gives all elements in the population the chance of being in the sample selected. The simple random sampling technique is not a biased method since   the population have equal chances of being selected . the sample selected is a representation of the population and can be used to make deductions  about the population.

The sample arrived at was so small to the extent that gave a very small representation of the population. The sampling formula should be increased to ensure that it caters for higher sample to be a representation of the population.

The questionnaire was so precise leaving out the open ended question. The design of the questionnaire should be increased to cater for the general questions.

The study indicated that the iPhone is more preferred as compared to the Samsung. The higher the discounts offered for the Samsung brand the more the customers tend to buy it.

References

Ball, L., Ladel, S. and Siller, H.S., 2018. Introduction. In Uses of Technology in Primary and Secondary Mathematics Education (pp. 1-7). Springer, Cham.

Dresselhaus, A. and Shrode, F., 2012. Mobile technologies & academics: do students use mobile technologies in their academic lives and are librarians ready to meet this challenge?. Information Technology and Libraries (Online), 31(2), p.82.

Mohd Suki, N. (2013). Students’ demand for smartphones: Structural relationships of product features, brand name, product price and social influence. Campus-wide information systems, 30(4), 236-248

Paterson, L. and Low, B., 2011. Student attitudes towards mobile library services for smartphones. Library Hi Tech, 29(3), pp.412-423.

Woodcock, B., Middleton, A. and Nortcliffe, A., 2012. Considering the Smartphone Learner: an investigation into student interest in the use of personal technology to enhance their learning. Student Engagement and Experience Journal, 1(1), pp.1-15.

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