1. The corona virus has stranded five members of the Chinese Women's Gymnastics Team in Minnesota (average height 140 cm-that's 56 inches for the metrically impaired) and for some strange reason they are attending PY620 where the average height is 65 inches (165 cm). How will the addition of these 5 womenchange each of the following for our class:1) Mean height, 2) Median height, 3) Standard deviation, and 4) Skew of our class : (Hint; no calculations are needed to answer this)
2. Tom took a math test and got a score of 10. Mary took a math test in a different class and got a score of 9.If the mean =15 and standard deviation=5 in Tom's class and the mean =12 and standard deviation =4 in Mary's class. Which one did better on their exam?

Calculate the mean, median, mode, and standard deviation for the following set of numbers: 12,7,6,5,3,1,7.

a.Mean=

b.Median=

c.Mode=

d.Standard Deviation=

4.One way to make sure that your sample is representative of your population is to take a random sample of that population. Suppose we wanted to get a random sample of all Bloomington residents and we used a list of home owners from tax records as our source for sampling? Would we get a random sample? Why or why not?

5.If the standard deviation of a sample is 12 and the sample size is 64, what is the standard error of the mean for that sample?

6.A major drug company is interested in the ability of Lingonberry extract to cure the excessive shyness displayed in Norwegian Bachelor Farmer Syndrome. They conducted a pilot test with 10 farmers getting the extract and 10 getting a placebo. They were encouraged by the results (5 of the farmers in the Lingonberry group actually looked them in the eye and said hello vs.only 1 of the farmers in the placebogroup) but realized that they only had a 50% chance of observing a half standard deviation difference in symptoms between the groups . They decided to expand the study to 50 in each group. How will this effect each of the following (again, no calculations necessary, how will these change? )

1. The likelihood of saying the two groups were different when they were not.
2. The likelihood of making a Type II error.
3. The size of the standard errors for each of the group means.
4. Power.

7.

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