SOLUTION: A random sample is selected from a population with �= 80 and σ = 10. To ensure a standard error of 2 points or less, the sample size should be at least _________

SOLUTION: A random sample is selected from a population with �= 80 and σ = 10. To ensure a standard error of 2 points or less, the sample size should be at least __________. A) n = 5

Question 639021: A random sample is selected from a population with �= 80 and σ = 10. To ensure a standard error of 2 points or less, the sample size should be at least __________.
A) n = 5
B) n = 10
C) n = 25
D) It is impossible to obtain a standard error less than 2 for any sized sample
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Standard Error:

SE = sigma/sqrt(n)

2 = 10/sqrt(n)

2*sqrt(n) = 10

sqrt(n) = 10/2

sqrt(n) = 5

n = 5^2

n = 25

So the sample size should be at least n = 25
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SOLUTION: A random sample is selected from a population with �= 80 and &#963; = 10. To ensure a standard error of 2 points or less, the sample size should be at least __________. A) n = 5

SOLUTION: A random sample is selected from a population with �= 80 and σ = 10. To ensure a standard error of 2 points or less, the sample size should be at least __________. A) n = 5