In the One Mean applet there are three populations of sleep times. All have a mean of about 8 hours and a SD of about 1.5 hours. 

a. Open up the applet and select Sleep 1. This represents a fairly normally distributed population of sleep times. 

i. Suppose you take 10,000 random samples from this population where the sample size is 10. What do you expect the mean, standard deviation, and shape of distribution of sample mean sleep hours to be? 

ii. Click on the Show Sampling Options and collect 10,000 samples of size 10. Are the mean, standard deviation, and shape close to your prediction? 

b. Now select Sleep 2. This represents a right-skewed distributed population of sleep times that has a mean of about 8 hours. 

i. Suppose you take 10,000 samples from this population where the sample size is 10. What do you expect the mean, standard deviation and shape of distribution of sample mean sleep hours to be? 

ii. Click on the Show Sampling Options and collect 10,000 samples of size 10. Are the mean, standard deviation and shape close to your prediction? 

c. Now select Sleep 3. This represents a fairly uniformly distributed population of sleep times that has a mean of about 8 hours. 

i. Suppose you take 10,000 samples from this population where the sample size is 10. What do you expect the mean, standard deviation and shape of distribution of sample mean sleep hours to be? 

ii. Click on the Show Sampling Options and collect 10,000 samples of size 10. Are the mean, standard deviation and shape close to your prediction? 

d. How did your answers to parts (a), (b), and (c) change with the change in the population shape?