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07.04.2020 •
Mathematics
To estimate the mean of a normal population whose standard deviation is 6, with a bound on the error of estimation equal to 1.2 and confidence level 99% requires a sample size of at least:
a.166b
b.167
c.13
d.None of these choices
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Ответ:
a) 166
Step-by-step explanation:
Explanation:-
Step 1:-
maximum Error of estimation (E) =1.2
we know that maximum Error of estimation
cross multiplication we get ,
E(√n) =σ (zₐ)
Squaring on both sides, we get
Step 2:-
Population of standard deviation σ = 6
level of significance ∝ = 2.576 at 99% of confidence interval
By using formula
substitute all values in above equation
on simplification , we get n = 165.8 ≅166
Conclusion:-
confidence level 99% requires a sample size of at least (n)=166
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Step-by-step explanation:
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