Question

The mean length of a human pregnancy is 266 days, with a standard deviation of 10 days. Use the empirical rule to determine the percentage of women whose pregnancies are between 246 and 286 days. (Assume the data set has a bell-shaped distribution)

Answer 1

Given that, mean = 266 days and

standard deviation = 10 days

According to Empirical rule:

i) Approximately 68% of the data fall within 1 standard deviations of the mean.

ii) Approximately 95% of the data fall within 2 standard deviations of the mean.

iii) Approximately 99.7% of the data fall within 3 standard deviations of the mean.

Here,

Therefore, approximately 95% of women whose pregnancies are between 246 and 286 days.