Overview
ENGINEERING QUESTION
You are a business analyst at TechFlow Solutions, a mid-sized software company that provides cloud-based project management tools to businesses. The company has been experiencing rapid growth, and the executive team wants to better understand and optimize their customer service operations.
Your manager has asked you to analyze customer service call duration data to help make strategic decisions about staffing, training, and service level agreements. After collecting data from the past quarter, you've determined that customer service call durations follow a normal distribution with a mean of 18.5 minutes and a standard deviation of 4.2 minutes.
The company currently promises customers that 90% of support calls will be resolved within a certain time frame, and they're considering implementing performance bonuses for representatives who consistently handle calls efficiently.
Assignment Instructions
Please respond to ALL THREE questions below. For each question, provide:
Your calculated answer (show Excel formula used)
A detailed business interpretation of what this result means
A specific recommendation for management based on your findings
Question 1: Performance Evaluation
A customer service representative, Sarah, just completed a call that lasted 14.3 minutes. Management wants to evaluate her performance relative to the typical call duration.
Calculate the z-score for Sarah's call duration and interpret the result.
Your Response Should Include:
The calculated z-score (including the Excel function you used)
What this z-score tells us about Sarah's performance
How this information could be used in performance evaluations
Any recommendations for Sarah or her supervisor