The U.S. Census Bureau would like to estimate the average square footage of a new single-family home with a 95% confidence interval and a margin of error within plus or minus 200 square feet. Assuming the standard deviation for the square footage of new single-family homes is 850 square feet, the required sample size is ---------.
A)70
B)48
C)55
D)41

Question

Quizplus · Accepted Answer

The formula for the sample size is: n = (Z^2 * s^2) / e^2, where Z is the z-score for the desired confidence level, s is the standard deviation, and e is the margin of error. Plugging in the given values, we get: n = (1.96^2 * 850^2) / 200^2 = 70.45. Rounding up to the nearest whole number, the required sample size is 70.

The US Census Bureau Would Like to Estimate the Average Square