The reading speed of sixth-grade students is approximately normal, with a mean speed of 100 words per minute and a standard deviation of 10 words per minute.
a) Consider the two probabilities listed below. Indicate which probability is greater and explain the reasons for your decision.
First: The probability that a sample of 25 sixth-graders will have a sample mean of more than 110 words per minute.
Second:The probability that a randomly selected sixth-grader has a reading speed of more than 110 words per minute.
Circle your choice: First orSecond
Draw, shade and label normal distribution diagrams for both situations and clearly explain your choice.