In: Statistics and Probability
The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. A random sample of 12 sixth-graders is obtained.
(a) Describe the sampling distribution of the sample mean reading rate of the 12 sixth-graders. In other words, state its distribution and its two parameters.
(b) What is the probability that a random sample of 12 sixth-graders results in a mean reading rate of more than 130 words per minute?