Because this is a second degree equation you will have 2 solutions. When you take the square root of a number you have to account for both the positive and negative roots. Since the square root of 289 is 17 then your solutions are +17 and -17.
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Answer:
the smallest sample size is 163
Step-by-step explanation:
The computation of the smallest sample size that meets these criteria is shown below:
n = (Z a/2 × Standard deviation ÷ Margin of error ) ^2
Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 2.6
Margin of error i.e. ME =0.4
n = ( 1.96 × 2.6 ÷ 0.4) ^2
= 163
Hence, the smallest sample size is 163
