Comparison of Intervals

Abstract

One of the fascinating and fun aspects of statistics is the many approaches that can be used to solve the same problem. These varied approaches often have very subtle differences. In this paper, we were interested in finding out if all 18 ounce bags of Chips Ahoy! cookies contain more than 1000 chips. We first collected bags of cookies from across the United States and then extracted the chips in 42 randomly selected bags. For the analysis, we looked at confidence intervals, prediction intervals for a single bag, tolerance intervals (parametric and distribution-free), and a bootstrap confidence bound for the proportion of bags exceeding the specified 1000 chips (for an excellent discussion of the different types of intervals see Hahn and Meeker).

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 13, 1998
Accession Number
ADA338711

Entities

People

  • Brad Warner
  • Jim Rutledge

Organizations

  • United States Air Force Academy

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Data Analysis
  • Data Mining
  • Data Science
  • Data Sets
  • Information Science
  • Intervals
  • Knowledge Management
  • Normality
  • Order Statistics
  • Probability
  • Random Variables
  • Spreadsheet Software
  • Statistical Samples
  • Statistics
  • United States
  • United States Air Force Academy

Fields of Study

  • Mathematics

Readers

  • Explosive Engineering.
  • Oncology and Biomarker-Based Cancer Detection.
  • Regression Analysis.