Analytical Methods for Engineering: Complete Assignment Solution

This document presents a comprehensive solution to an analytical methods assignment in engineering. It begins by defining and illustrating frequency distributions, histograms, and cumulative frequency charts for two datasets of fastener diameters (Parker and Lincs). Statistical analysis includes calculations of median, quartiles, and interquartile ranges for both datasets. Task 2 focuses on calculating the mean and standard deviation for the fastener diameters, comparing the results for Parker and Lincs fasteners. Task 3 addresses linear regression, determining the line of best fit and correlation coefficients for two scenarios: defective plugs and plug length versus diameter. The final task involves calculating tolerance levels and confidence intervals for the fastener diameters, assuming normal distributions and comparing the proportion of values falling outside specified tolerance limits for both fastener types. References to statistical methods and engineering principles are included.