A large school district in southern California asked all of its eighth-graders to measure the length of their right foot at the beginning of the school year, as part of a science project. The data show that foot length is approximately Normally distributed, with a mean of 23.4 cm and a standard deviation of 1.7 cm. Suppose that 25 eighth-graders from this population are randomly selected. The distribution of the mean foot length in samples of 25 students is approximately Normal; what are the mean and standard deviation?

Question

Quizplus · Accepted Answer

The mean of the distribution of sample means will be the same as the population mean, which is 23.4 cm. The standard deviation of the distribution of sample means, also known as the standard error of the mean, can be calculated using the formula: standard deviation / square root of sample size. In this case, the standard deviation is 1.7 cm and the sample size is 25, so the standard error of the mean is 1.7 / sqrt(25) = 0.34 cm. Therefore, the answer is B.

A Large School District in Southern California Asked All of Its