πŸŽ“ First order? Get 25% OFF β€” use code BISHOPS at checkout  |  πŸ’¬ Chat on WhatsApp

BUS105: Statistics Q1(b) Inferential Analysis of Customer Satisfaction Scores

πŸ“… September 29, 2025 ✍️ Edu Essay ⏱ 2 min read
BUS105: Statistics

 

Q1(b) Inferential Analysis of Customer Satisfaction Scores

1. Purpose of Analysis

Total Sensing Corporation (TSC) has claimed that its customer delivery satisfaction is comparable to Building Sensing Enterprise (BSE). As a Data Analyst, I have been tasked with evaluating this claim using inferential statistics. Specifically, I will test whether there is a statistically significant difference between the satisfaction scores of TSC and BSE, based on the 25 observations collected from each contractor.

2. Descriptive Statistics

 

Statistic TSC BSE
Sample Size (n) 25 25
Mean 91.00 87.64
Standard Deviation 6.34 6.76
Minimum 76.27 74.01
Maximum 100.00 100.00

 

At face value, TSC’s mean satisfaction score (91.0) appears higher than BSE’s (87.6). However, inferential analysis is required to determine if this difference is statistically significant.

 

Writing a Similar Assignment?

Get a Scholar-Written Paper Matched to Your Brief

Every order is handled by a degree-holding expert in your subject β€” written to your exact rubric, fully original, and delivered ahead of your deadline.

Start My Order
Hire a Professional Essay & Assignment Writer for completing your Academic Assessments

Native Singapore Writers Team

  • 100% Plagiarism-Free Essay
  • Highest Satisfaction Rate
  • Free Revision
  • On-Time Delivery

3. Assumption Checks

a) Normality

The Shapiro-Wilk test was applied to both datasets:

  • TSC:Β W = 0.958, p = 0.373
  • BSE:Β W = 0.970, p = 0.653

Since both p-values > 0.05, the null hypothesis of normality is not rejected. Thus, both datasets can be treated as normally distributed.

b) Homogeneity of Variances

  • Levene’s Test was performed:
  • Levene’s statistic = 0.137,Β p = 0.713

As p > 0.05, equal variances can be assumed.

Stuck on Your Assignment?

Cola Papers Experts Are Ready Right Now

Join thousands of students who submit confidently. Human-written, plagiarism-checked, and formatted to your institution's exact standards.

Order My Custom Paper Use code BISHOPS for 25% off

Assumption Outcome: Both assumptions of normality and equal variances are met, making the independent samples t-test an appropriate method of analysis.

4. Inferential Analysis

An independent samples t-test (two-tailed) was conducted:

  • t(48) = 1.815, p = 0.076

SinceΒ p = 0.076 > 0.05, the result isΒ not statistically significantΒ at the 5% level.

5. Interpretation of Results

Although TSC’s mean score (91.0) is slightly higher than BSE’s (87.6), the difference cannot be considered statistically significant. This suggests that the observed difference may be due to random sampling variation rather than a true performance difference.

6. Conclusion

  • Assumptions: Normality and equal variance assumptions were satisfied.
  • Statistical Test: Independent samples t-test.
  • Result: No significant difference (p = 0.076).

Conclusion:

TSC’s claim that its customer satisfaction performance is comparable to BSE’s is supported by the analysis. While TSC’s mean score is marginally higher, the difference is not statistically significant at the 5% threshold. Therefore, IST management can reasonably conclude that delivery satisfaction between the two contractors is statistically similar.

 

Our Key Guarantees

  • βœ“ 100% Plagiarism-Free
  • βœ“ On-Time Delivery
  • βœ“ Student-Friendly Pricing
  • βœ“ Human-Written Papers
  • βœ“ Free Revisions (14 days)
  • βœ“ 24/7 Live Support

Frequently Asked Questions About Our Essay Writing Service