Business Analytics

By Published on October 7, 2025
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Question

Business Analytics

Assignment 1

 

  1. AuCement produces many types of cement products at its factory in Sydney and sells them in Sydney, Brisbane, Canberra, and Melbourne. Six month ago, the company established a new cement facility to load a new 20Kg packaged cement. The company sells this new product in a competitive price and has boosted its sales with this option. In every contract the price of the product is paid based on its delivery time and customer satisfaction. To investigate more about the sales, they surveyed the customers who have purchased this kind of cement and a sample of 50 receipts was selected from the previous sales. For better comparison, they scaled the delivery time with dividing the hours spent for delivering the product by the travelled kilometres. AuCement file contains data showing the customer’s location, the payment type, the delivery time, the amount of customer satisfaction, and the price of sales paid for every tonne of this product by each of the 50 customers.

AuCement would like to use the sample data to determine whether customers who receive their package earlier and are more satisfied about the quality also pays higher prices. The company would also like to investigate the effect that the customer location and the payment type have on sales.

Managerial Report

Use the methods of descriptive statistics to learn about the customers who purchase in higher prices. Include the following in your report:

  • Graphical and numerical summaries for the length of delivery time, the customer satisfaction factor, and the average amount gained per sale. Discuss what you learn about AuCement’s new product sales based on this data. (5 marks)

(Hint: for the graphical summaries show histograms for each variable and for the numerical summaries draw a table listing mean, median, standard deviation, min, max and range for each variable)

  • Summarise the frequency, the average sale price, average delivery time, and average customer satisfaction for each city. Discuss the observations you can make about AuCement’s business based on the destination city of the sales? (2 marks)
  • Develop a scatter diagram, and compute the sample correlation coefficient to explore the relationship between the delivery time and the selling price. Use the horizontal axis for the delivery time of the new product. Discuss your findings. (2 marks)
  • Develop a scatter diagram, and compute the sample correlation coefficient to explore the relationship between the delivery time and the customer satisfaction. Use the horizontal axis for the delivery time of the new product. Discuss your findings. (2 marks)
  • Develop a scatter diagram, and compute the sample correlation coefficient to explore the relationship between the customer satisfaction and the sale price of new product. Use the horizontal axis to represent the customer satisfaction. Discuss your findings. (2 marks)
  1. Ambulance Victoria has an official Response Time (RT) targets: Respond to incidents within 15 minutes for 85% of incidents state-wide. Response times are an important measure of the service they provide. The response times are measured from the receipt of the triple zero (000) call until paramedics arrive on scene. Response times are influenced by many factors including traffic, distance required to travel, availability of ambulances and demand for the services. They designate those patients that require urgent paramedic and hospital care as "Code 1," and these patients receive a "lights and sirens" response. The AmbulanceVictoria file provides information about their Code 1 response time performance by Local Government Area (LGA) in the 3rd quarter of the financial year 2015-2016.

 

Managerial Report

Use the data-visualization methods presented in this chapter to explore these data and discover relationships between the variables. Include the following in your report:

  • Create a scatter chart to examine the relationship between the average response time and the total number of incidents. Include a trend line for this scatter chart with its formula. What does the scatter chart indicate about the average response time over the total number of incidents for these Victoria’s LGAs? (2 marks)
  • Create a scatter chart to examine the relationship between the percentage of less than 15 minutes response times and the average response time. What does this scatter chart indicate about the relationship between the percentage of less than 15 minutes response times and the average response time? (2 marks)
  • Create frequency distributions, percent frequency distributions and intervals in a table for the number of incidents using bin size of 250 incidents. Then, draw a histogram for the frequencies. Interpret the results. Do any data points appear to be outliers in this distribution? (3 marks)
  • Create a PivotTable for these data. Use the PivotTable to generate a cross tabulation for LGA categories and rating. Determine which combinations of LGA categories and rating are most represented in the Ambulance Victoria data. Now filter the data to consider only area with average response time more than 15 minutes (900 seconds). What combinations of LGA categories and rating are most represented? What does this indicate about how the ranking of the LGAs may be defined for the other quarters of the year? (3 marks)
  • Use the PivotTable to display the average incidents happened in each combination of category-rating pair of areas in the data set. Interpret the results. (2 marks)

 

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Subject Business Pages 14 Style APA
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Answer

Business Analytics

Assignment 1

 

 

  1. AuCement produces many types of cement products at its factory in Sydney and sells them in Sydney, Brisbane, Canberra, and Melbourne. Six month ago, the company established a new cement facility to load a new 20Kg packaged cement. The company sells this new product in a competitive price and has boosted its sales with this option. In every contract the price of the product is paid based on its delivery time and customer satisfaction. To investigate more about the sales, they surveyed the customers who have purchased this kind of cement and a sample of 50 receipts was selected from the previous sales. For better comparison, they scaled the delivery time with dividing the hours spent for delivering the product by the travelled kilometres. AuCement file contains data showing the customer’s location, the payment type, the delivery time, the amount of customer satisfaction, and the price of sales paid for every tonne of this product by each of the 50 customers.

AuCement would like to use the sample data to determine whether customers who receive their package earlier and are more satisfied about the quality also pays higher prices. The company would also like to investigate the effect that the customer location and the payment type have on sales.

Managerial Report

Use the methods of descriptive statistics to learn about the customers who purchase in higher prices. Include the following in your report:

  • Graphical and numerical summaries for the length of delivery time, the customer satisfaction factor, and the average amount gained per sale. Discuss what you learn about AuCement’s new product sales based on this data. (5 marks).

Graphical Summaries

Numerical Summaries

0.57

 

2

 

Mean

0.374898

Mean

5.163265

Standard Error

0.025863

Standard Error

0.283244

Median

0.34

Median

5

Mode

0.32

Mode

5

Standard Deviation

0.18104

Standard Deviation

1.982706

Sample Variance

0.032776

Sample Variance

3.931122

Kurtosis

-0.03247

Kurtosis

0.189632

Skewness

0.589043

Skewness

0.13199

Range

0.73

Range

9

Minimum

0.09

Minimum

1

Maximum

0.82

Maximum

10

Sum

18.37

Sum

253

Count

49

Count

49

 

Lessons Learnt Based on the Date above

The average satisfaction for customers of AU Cement is 5.

The time taken, on the other hand, is averagely 0.374 minutes. There is a bigger margin between the ranges in satisfaction level as compared to time taken.

 

(Hint: for the graphical summaries show histograms for each variable and for the numerical summaries draw a table listing mean, median, standard deviation, min, max and range for each variable)

  • Summarise the frequency, the average sale price, average delivery time, and average customer satisfaction for each city. Discuss the observations you can make about AuCement’s business based on the destination city of the sales? (2 marks)

Summary done in the excel sheet. The observation is that most of the company’s customers live in Sydney.

 

  • Develop a scatter diagram, and compute the sample correlation coefficient to explore the relationship between the delivery time and the selling price. Use the horizontal axis for the delivery time of the new product. Discuss your findings. (2 marks)

Findings

There is a negative correlation between delivery time and the sales price. The lesser the delivery time the higher the price and vice versa.

 

 

Sale price ($/ton)

Delivery time (minutes/ton.km)

Sale price ($/ton)

1

Delivery time (minutes/ton.km)

-0.43376

1

 

  • Develop a scatter diagram, and compute the sample correlation coefficient to explore the relationship between the delivery time and the customer satisfaction. Use the horizontal axis for the delivery time of the new product. Discuss your findings. (2 marks)

 

 

.

 

Delivery time (minutes/ton.km)

Customer satisfaction

Sewdas e

Delivery time (minutes/ton.km)

1

Customer satisfaction

-0.73625

1

 

Findings

There is a negative correlation between delivery time and customer satisfaction. The more the time taken, the lesser the level of satisfaction and vice versa.

 

  • Develop a scatter diagram, and compute the sample correlation coefficient to explore the relationship between the customer satisfaction and the sale price of new product. Use the horizontal axis to represent the customer satisfaction. Discuss your findings. (2 marks)

Findings

There is a positive correlation between sales price and the customer satisfaction.

 

Sale price ($/ton)

Customer satisfaction

Sale price ($/ton)

1

Customer satisfaction

0.492012

1

 

  1. Ambulance Victoria has an official Response Time (RT) targets: Respond to incidents within 15 minutes for 85% of incidents state-wide. Response times are an important measure of the service they provide. The response times are measured from the receipt of the triple zero (000) call until paramedics arrive on scene. Response times are influenced by many factors including traffic, distance required to travel, availability of ambulances and demand for the services. They designate those patients that require urgent paramedic and hospital care as "Code 1," and these patients receive a "lights and sirens" response. The Ambulance Victoria file provides information about their Code 1 response time performance by Local Government Area (LGA) in the 3rd quarter of the financial year 2015-2016.

 

Managerial Report

Use the data-visualization methods presented in this chapter to explore these data and discover relationships between the variables. Include the following in your report:

  • Create a scatter chart to examine the relationship between the average response time and the total number of incidents. Include a trend line for this scatter chart with its formula. What does the scatter chart indicate about the average response time over the total number of incidents for these Victoria’s LGAs? (2 marks)

Frome the scatter chart, there is a negative relationship between the average response time and number of incidents.

 

 

  • Create a scatter chart to examine the relationship between the percentage of less than 15 minutes response times and the average response time. What does this scatter chart indicate about the relationship between the percentage of less than 15 minutes response times and the average response time? (2 marks)

There is not continuous relationship between the average time for response and the average of less than 15 minutes.

 

  • Create frequency distributions, percent frequency distributions and intervals in a table for the number of incidents using bin size of 250 incidents. Then, draw a histogram for the frequencies. Interpret the results. Do any data points appear to be outliers in this distribution? (3 marks)

Class

Frequency

0-250

7

251-500

5

501-750

8

751-1000

6

1001-1250

6

1252-1500

10

1501-1750

3

1751-2000

5

2001-2500

6

2501-2750

3

2751-3000

5

3001-3250

3

3251-3500

4

3501-3750

7

3751-4000

1

Total

78

 

 

 

  • Create a PivotTable for these data. Use the PivotTable to generate a cross tabulation for LGA categories and rating. Determine which combinations of LGA categories and rating are most represented in the Ambulance Victoria data. Now filter the data to consider only area with average response time more than 15 minutes (900 seconds). What combinations of LGA categories and rating are most represented? What does this indicate about how the ranking of the LGAs may be defined for the other quarters of the year? (3 marks)

The most represented category is Great Geelong. It means it has the highest ranking.

 

  • Use the PivotTable to display the average incidents happened in each combination of category-rating pair of areas in the data set. Interpret the results. (2 marks)

Pivot

Frequency

0-250

10

251-500

4

501-750

6

751-1000

5

1001-1250

6

1252-1500

9

1501-1750

3

1751-2000

5

2001-2500

7

2501-2750

5

2751-3000

3

3001-3250

6

3251-3500

4

3501-3750

5

3751-4000

2

78

The first pivot had the highest number of incidents,

 

 

 

References

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