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📚 Python for Introductory Statistics: Lab Workbook
Chapters ▾
1. Introduction to Python2. Python List3. Python Syntax4. Python Loops5. Frequency Distributions and Graphs6. Measure of Center and Variation7. Measures of Position8 Discrete Probability Distributions9. Continuous Probability DistributionConfidence Intervals11. Hypothesis Testing12. Linear Regression and Correlation13. Analysis of Categorical Data14. Advanced Statistics TopicsLab AnswersReferencesAppendix 1Appendix 2: Random Integer GeneratorAppendix 3: FactorialsResources

9.3 Central Limit Theorem: mean

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Lab 9.3.1

The lengths of metal screws are normally distributed, with a mean of 5 inches, and standard deviation of 1 inch.

  1. If 10 screws are chosen at random, what is the probability that their mean length is less than 6 inches?
  2. If 10 screws are chosen at random, what is the probability that their mean length is between 5 and 6 inches?

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Adapted from Python for Introductory Statistics: Student's Lab Workbook, by Simon Aman (Truman College, City Colleges of Chicago), licensed under CC BY 4.0. Changes were made: reformatted as an accessible XYZ web edition with live in-browser code cells. License: CC-BY-4.0.