↑ Week 8/Module 7 - Point Estimation and CI
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Assignment 7 - Estimation and Confidence Intervals

Assignment 7 - 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 (Histogram, Box Plot, and Confidence Interval Comparison)

📋 Raw Data: Battery Capacity (kWh)

30 randomly selected batteries were tested under standard conditions with the following values (can be copy/pasted into a Python List):

battery_capacity_data = [
   74.2, 75.8, 73.9, 76.1, 74.5,
   75.3, 74.8, 73.5, 75.9, 74.6,
   75.2, 74.1, 76.3, 73.8, 75.5,
   74.9, 75.1, 74.3, 75.7, 73.6,
   74.7, 75.4, 74.0, 75.6, 74.4,
   75.0, 73.7, 76.0, 74.8, 75.2
]
Generate an engineering report to support your conclusion concerning the claim. You may use AI to generate code for analysis, and you may discuss your approach on Assignment 7 Discussion. The report should support the methodology you used to reach your conclusion.