4.7 Sampling & Confidence

Confidence


A survey of 100 tomato plants out of a population of 5000 found an average height of 10 \(\pm\)1 inches at a 95% confidence level.

How many samples would be required for the following scenarios, with all other parameters held constant?

  1. Total population increased to 10000

    Exercise 1

    No change

  2. Tolerance of estimate increased to \(\pm\)2 inches

    Exercise 2

    Proportional to \(\frac{1}{d^2}\)

  3. Required confidence level increased to 99%

    Exercise 3

    (1 - confidence) is proportional to \( \frac{1}{n}\)