If you need to estimate the population mean within 2.5 units and with a confidence level of 95%.The minimum value observed is 15 and the maximum, 65.What sample size would you use?
A)9
B)10
C)81
D)96
E)97

Question

Quizplus · Accepted Answer

To estimate the sample size, use the formula for sample size in estimating a population mean: n = (Z*σ/E)^2. With a 95% confidence level, Z is 1.96. The range (65-15) is 50, so an approximate standard deviation (σ) is 50/4 = 12.5. The margin of error (E) is 2.5. Plugging these into the formula gives n = (1.96*12.5/2.5)^2 ≈ 96.04, which rounds up to 97.

If You Need to Estimate the Population Mean Within 2