Project Management Analysis and Statistical Investigation of Insurance Product Implementation and Student Accommodation Factors
Overview
This coursework assignment comprises two distinct tasks: a critical path method analysis for implementing a new insurance product with project scheduling and timeline optimization, and a chi-square test of independence examining the relationship between accommodation type and gender among university students. The analysis demonstrates project management techniques and statistical hypothesis testing methodologies.
What this coursework covers
- Task 1: Critical Path Method analysis for insurance product implementation project with activity scheduling, earliest/latest start and finish times, identification of critical path (24 weeks duration), and float calculations
- Task 2: Descriptive statistics for tests time to university and A-Level total points with measures of central tendency, dispersion, and distribution shape
- Chi-square test of independence investigating association between accommodation type and gender with contingency table, expected frequencies, test statistic (χ² = 2.458), and p-value (0.480) conclusion
Preview
Faculty of Business and Law
Assignment Mode E and R Regulations
Task 1: (25 Marks)
Project: Implementation of a New Insurance Product
Activity | Duration (weeks) | Code | Predecessor(s) |
Market Research | 2 | A | - |
Product Design | 3 | B | A |
Actuarial Analysis | 4 | C | B |
Pricing Strategy | 2 | D | C |
Marketing Plan | 3 | E | B |
Underwriting Guidelines | 3 | F | B |
System Development | 6 | G | C |
Policy Administration System Integration | 4 | H | G |
Testing and Quality Assurance | 4 | I | G |
Employee Training | 2 | J | H, I |
Product Launch | 2 | K | E, F, J |
Monitoring and Feedback | 1 | L | K |
Earliest and Latest Starting and Finishing Time
Activity | ES | EF | LS | LF |
A | 0 | 2 | 0 | 2 |
B | 2 | 5 | 2 | 5 |
C | 5 | 9 | 5 | 9 |
D | 9 | 11 | 9 | 11 |
E | 5 | 8 | 8 | 11 |
F | 5 | 8 | 8 | 11 |
G | 9 | 15 | 9 | 15 |
H | 15 | 19 | 15 | 19 |
I | 15 | 19 | 15 | 19 |
J | 19 | 21 | 19 | 21 |
K | 21 | 23 | 21 | 23 |
L | 23 | 24 | 23 | 24 |
Duration, Total Float, and Critical Path:
Activity | Duration | Total Float | Critical Path |
A | 2 | 0 | Yes |
B | 3 | 0 | Yes |
C | 4 | 0 | Yes |
D | 2 | 4 | No |
E | 3 | 3 | No |
F | 3 | 3 | No |
G | 6 | 0 | Yes |
H | 4 | 0 | Yes |
I | 4 | 0 | Yes |
J | 2 | 2 | No |
K | 2 | 0 | Yes |
L | 1 | 0 | Yes |
The critical path is A-B-C-G-H-I-K-L with a total duration of 24 weeks. Any delay in the critical path activities will result in a delay in the project completion date. Activities D, E, F, and J have total float and can be delayed without affecting the project completion date.
Task 2: (35 Marks)
- Tests
Time To University? | A-Level: Total Points? | |||
Mean | 40.80795 | Mean | 167.2715 | |
Standard Error | 2.589616 | Standard Error | 9.300654 | |
Median | 32 | Median | 200 | |
Mode | 32 | Mode | 0 | |
Standard Deviation | 31.82174 | Standard Deviation | 114.2883 | |
Sample Variance | 1012.623 | Sample Variance | 13061.83 | |
Kurtosis | -0.10313 | Kurtosis | -1.18802 | |
Skewness | 0.932481 | Skewness | -0.36524 | |
Range | 132 | Range | 380 | |
Minimum | 5 | Minimum | 0 | |
Maximum | 137 | Maximum | 380 | |
Sum | 6162 | Sum | 25258 | |
Count | 151 | Count | 151 | |
To investigate whether the factor 'Accommodation Type' influences the type of gender, conduct a chi-square test of independence.
First, we need to create a contingency table with 'Accommodation Type' as rows and 'Gender' as columns. We will count the number of males and females in each accommodation type.
Male | Female | |
|---|---|---|
House | 9 | 8 |
Flat | 7 | 4 |
Halls | 2 | 4 |
Other | 1 | 1 |
Next, we will perform the chi-square test of independence using a significance level of 0.05.
The null hypothesis is that there is no association between 'Accommodation Type' and 'Gender', while the alternative hypothesis is that there is an association between the two variables.
The test statistic is calculated as follows:
χ² = Σ (Observed - Expected)² / Expected
where Observed is the observed frequency count and Expected is the expected frequency count under the null hypothesis.
Using a calculator, we can obtain the expected frequency counts as follows:
Male | Female | |
|---|---|---|
House | 8.06 | 8.94 |
Flat | 5.03 | 5.97 |
Halls | 2.41 | 3.59 |
Other | 0.5 | 1. More Business samples |