1) Which of the following would increase the power of a test? Choose all correct answers. [4pts]
a.Increase the sample size

b.Decease the significance level

c.Increase alpha

2.A burlap sack is 10 red poker chips, 5 blue poker chips, 3 green poker chips, and 2 white poker chips. There is exactly one poker chip of each color with the word "WINNER" printed on the front and back of the chip (there are 4 total "winner" chips). Use this information to answer the following:

a) You draw one poker chip from the sack. Find the probability the chip is green.

b) You draw one poker chip from the sack. Find the probability the chip is red or a "WINNER"

c) You draw two poker chips from the sack. After each draw the chip is discarded. Find the probability both chips are a "WINNER or WHITE"

3.Separate random samples were collected by a polling agency to investigate the difference in employee satisfaction at non-profit organizations and at for-profit companies. Data collected from 427 employees at non-profit organizations revealed that 379 of them were "highly satisfied." From the for-profit companies, 439 out of 535 employees reported the same level of satisfaction. Researchers want to test if the proportions of satisfied employees are the same at for-profit companies as at non-profit companies.

a.Explain your conclusion in the context of this problem

b. Find a 99% confidence interval of the estimate the difference between the mean age of professional baseball players and professional football players

c. Interpret your interval

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