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swat32
3 years ago
9

(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 dec

imal places.) (a) σ = 18, n = 9 (b) σ = 18, n = 36 (c) σ = 18, n = 144
Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

a) 6.00

b) 3.00

c) 1.50

Step-by-step explanation:

Sample error of the mean is expressed mathematically using the formula;

SE = σ /√n where;

σ  is the standard deviation and n is the sample size.

a) Given σ = 18, n = 9

Standard error of the mean = σ /√n

Standard error of the mean = 18/√9

Standard error of the mean = 18/3

<em>Standard error of the mean = 6.00</em>

b) Given σ = 18, n = 36

Standard error of the mean = σ /√n

Standard error of the mean = 18/√36

Standard error of the mean = 18/6

<em>Standard error of the mean = 3.00</em>

c) Given σ = 18, n = 144

Standard error of the mean = σ /√n

Standard error of the mean = 18/√144

Standard error of the mean = 18/12

Standard error of the mean = 3/2

<em>Standard error of the mean = 1.50</em>

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