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Chapter 5: Q16E (page 314)

Suppose a random sample of n = 25 measurements are selected from a population with mean μand standard deviation s. For each of the following values of μand role="math" localid="1651468116840" σ, give the values of μχ¯ and σχ¯.

  1. μ=100,σ=3
  2. μ=100,σ=25
  3. μ=20,σ=40
  4. μ=10,σ=100

Short Answer

Expert verified

Random sampling is a sampling strategy in which every sample has an equal chance to be selected. A basic random sample is intended to reflect a group in an unbiased manner.

Step by step solution

01

 Step 1: (a) The data is given below

The calculation is given below:

µ=10σχ=325=35=0.6

02

(b) The data is given below

The calculation is given below:

µχ-=100σχ=255=5

03

(c) The data is given below

The calculation is given below:

µχ-=20σχ=405=8

04

(d) The data is given below

The calculation is given below:

µχ-=10σχ=1005=20

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