This simple question does not require any statistical calculations, only statistical knowledge. The showerhead heights at a men's athletic locker room were designed to be 72 inches which is well above the mean height of 69.5". The heights of the athletes are normally distributed. From the choices listed below, which is more likely to be true: a, b, c or d? a) The mean height for a randomly selected sample of 10 players is more than 72 inches. b) The height of one randomly selected player is more than 72 inches. c) Both a and b are equally likely. d) None of the above Why? (Justify your answer with a short answer.)

2. Match the terms below with the definitions. Fill in the number in the space after the definition:

1 Significance Level

2 Dependent Samples

3 Independent Samples

4 Hypothesis Test

5 q-value

6 Rare Event Rule

7 P-Value

8 Central Limit Theorem

9 Hypothesis

(a) If, under a given assumption, the probability of a particular observed event is extremely small, we conclude that the assumption is probably not correct.

(b) One sample value is not related or somehow affected by the values of any other value in the sample.

(c) The probability of a test statistic at least as extreme as the one obtained.

(d) A claim or statement about a property of a population.

(e) Denoted by , the probability of making the mistake of rejecting the null hypothesis when it is true

f) A sample value is affected by another value in the sample.

(g) A procedure for testing a claim about a property of a population.

3. Match the terms below with their definitions. Fill in the number in the space provided:

1 Binomial Distribution

2 T-score

3 Z-score

4 Critical Value

5 Confidence Interval

6 Uniform Distribution

7 Confidence Level

8 Normal Distribution

a) The probability 1 that the confidence interval actually does contain the population parameter, assuming that the estimation process is repeated a large number of times a) _________________

b) A range of values used to estimate the true value of a population parameter. b) _________________ c) A number separating sample statistics that are likely to occur from those that are unlikely to occur. c)_________________

d) A continuous distribution with a symmetric, bell shape. d)_________________

e) A critical value based on an unknown population standard deviation. e) _________________