A researcher wants to determine the sample size necessary to adequately conduct a study to estimate the population mean to within 5 points.The range of population values is 80 and the researcher plans to use a 90% level of confidence.The sample size should be at least _______.
A)44
B)62
C)216
D)692
E)700

Question

Quizplus · Accepted Answer

The sample size should be at least 44. This is because the sample size is calculated using the formula n = (Z^2 * s^2) / e^2, where Z is the z-score for the desired level of confidence, s is the standard deviation of the population, and e is the margin of error. In this case, the z-score for a 90% level of confidence is 1.645, the standard deviation of the population is 80, and the margin of error is 5. Plugging these values into the formula, we get n = (1.645^2 * 80^2) / 5^2 = 43.96. Rounding up to the nearest whole number, we get a sample size of 44.

A Researcher Wants to Determine the Sample Size Necessary to Adequately