Each of 400 students in a very large statistics class select

Each of 400 students in a (very large) statistics class selected a random sample of n = 25 scores from a population for which the mean was unknown. Each student computed the mean and variance of his/her sample.

Imagine that Linda, feeling uncharacteristically defiant, drew a random sample of n = 50 instead of n = 25; she obtained a mean of 85. Which mean—Linda’s or Mike’s—would you consider to be a more accurate estimate of m? Why?

Solution

We will consider LINDA\'S mean to be a more accurate estimate of the population mean (m), because it \"knows more\" about the population as it has a greater sample size.

[ANSWER: LINDA\'S MEAN IS MORE ACCURATE]