1. Draw and find the area under the standard normal curve:
a. To the left of
b. To the right of
c. Between and
2. Which normal curve has the greatest mean and standard deviation? And which normal curve has the smallest mean and standard deviation?
3. Find the indicated z-score(s) shown in the graph:
4. The time per workout an athlete uses a stairclimber is normally distributed with a mean of 20 minutes and a standard deviation of 5 minutes. An athlete is randomly selected
a. Find the probability that the athlete uses a stairclimber for less than 17 minutes.
b. Find the probability that the athlete uses a stairclimber between 17 and 22 minutes.
5. You write the population values {1,3,5,7} on slips of paper and put them in a box. Then you randomly choose two slips of paper, with replacement. List all possible samples of size n=2 and calculate the mean of each. Then form the sampling distribution of the sample means. Find the mean of the sample means. Compare your result with the mean of the population.