In an effort to estimate the mean length of stay for motel guests at a major national motel chain, the decision makers asked for a 95 percent confidence, and a margin of error of ±0.25 days. Further, it was known that the population standard deviation is 0.50 days. Given this, the required sample size to estimate the mean length of stay is about 16 customers.

Question

Quizplus · Accepted Answer

The formula for sample size is n = (Z^2 * s^2) / e^2, where Z is the z-score for the desired confidence level, s is the population standard deviation, and e is the margin of error. Plugging in the given values, we get n = (1.96^2 * 0.50^2) / 0.25^2 = 15.36. Rounding up to the nearest whole number, the required sample size is 16 customers.

In an Effort to Estimate the Mean Length of Stay