↑ Week 8/Module 7 - Point Estimation and CI

📊 Battery Manufacturing Quality Control Analysis

Problem Statement

TechPower Industries manufactures lithium-ion batteries for electric vehicles. They claim their new battery model has a capacity of 75 kWh. The quality control department has randomly tested 30 batteries from the production line. Your task is to:

  1. Calculate point estimates for the population mean and standard deviation
  2. Construct confidence intervals at different confidence levels
  3. Determine if the manufacturing process meets the specification
  4. Visualize the results with appropriate plots

📋 Raw Data: Battery Capacity (kWh)

30 randomly selected batteries tested under standard conditions:

📝 Questions to Answer:

  1. What is the best point estimate for the true mean battery capacity?
  2. With 95% confidence, what range contains the true mean capacity?
  3. Does the data support the manufacturer's claim of 75 kWh?
  4. What percentage of batteries fall within the specification tolerance?
  5. How does changing the confidence level affect the interval width?
  6. Based on the visualization, does the data appear normally distributed?