Question

The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a standard deviation of 16 days. Suppose we choose a random sample of 35 pregnant women and measure the length of pregnancies. What is the sampling distribution of sample means?

Answer 1

The sampling distribution of sample means is approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Step-by-step explanation:

The sampling distribution of sample means can be approximated by a normal distribution. The mean of the sampling distribution of sample means is equal to the population mean, which is 266 days. The standard deviation of the sampling distribution of sample means, also known as the standard error, is equal to the population standard deviation divided by the square root of the sample size. In this case, the standard error would be 16 / sqrt(35) = 2.71.