Suppose a random sample of size 45 is selected from a population with sigma= 12. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). a. The population size is infinite (to 2 decimals). b. The population size is N = 50,000 (to 2 decimals). c. The population size is N = 5000 (to 2 decimals). d. The population size is N = 500 (to 2 decimals).
a)
sample size | n= | 45 |
population std deviation | σ= | 12 |
standard errror of mean = | σx=σ/√n= | 1.79 |
b)as n/N =45/50000 <=0.05 ; therefore no finite correction is needed
standard errror of mean = | σx=σ/√n= | 1.79 |
c)
standard errror of mean = | σx=σ/√n= | 1.79 |
(try 1.78 if this comes wrong and revert)
d)
std errror 'σx̅=(σ/√n)*√((N-n)/(N-1))= | 1.71 |
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