1. A biologist hypothesizes that the mean life expectancy of a mosquito is 14 days. Researchers believe the true mean is less than 14 days and they plan a hypothesis test at the 5% significance level on a random sample of 60 of these mosquitos. If the alternative hypothesis is correct, for which of the following values of ? is the power of the test greatest?

a.? = 9

b.? = 7

c.? = 10

d.? = 14

e.? = 18

2. The weight of apples at the grocery store follows a Normal distribution with a mean of ? = 5 ounces and a standard deviation of ? = 1 ounce. Suppose we pick nine apples at random from the basket and find their total weight, W. Which of the following statements describes the random variable W?

a.The random variable W is Normal, with a mean of five ounces and a standard deviation of one ounce.

b.The random variable W is Normal, with a mean of 45 ounces and a standard deviation of three ounces.

c.The random variable W is Normal, with a mean of five ounces and a standard deviation of three ounces.

d.The random variable W is binomial, with a mean of 45 ounces and a standard deviation of nine ounces.

e.The random variable W is binomial, with a mean of five ounces and a standard deviation of nine ounces.

3. An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times?

a. 2!/7!

b.

(0.2)(0.8) 2