What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a
previous sample had s=20.
Round your answer up to the nearest integer. sample size = _______.
1 answer:
Answer:
43
Step-by-step explanation:
The formula for Margin of Error =
Margin of Error = z × standard deviation/√n
Margin of Error= ± 6
z = z score of 95% Confidence Interval is 1.96
s = 20
n = sample size
±6 = 1.96 × 20/√n
Cross Multiply
±6 × √n = 1.96 × 20
±6 × √n = 39.2
Divide both sides by ±7
√n = 39.2/±6
√n = 6.5333333333
Square both sides
n = 6.5333333333²
n= 42.684444444
Rounding up to the nearest integer = 43
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