Busy avenging the murder of his father, Inigo Montoya asks you to answer the following questions by circling the best answer(s) for each.

1. In a hypothesis test, the prob-value is: (circle all that apply)

• The probability that the null hypothesis is true.
• The probability of observing data as rare as or more rare than we did while assuming the null hypothesis is true.
• The probability that our interval captures the population parameter.
• Equal to the confidence level.

2. A sample is random if the following condition is satisfied (circle one):

• Its elements are chosen so that their standard deviation is minimized.
• It does not include outliers.
• Its size is at least 30.
• Its mean is equal to the population mean.
• None of the above

1. (2 pts) If you fail to reject the null hypothesis when the alternative is true, then you have
   1. Committed a Type I error
   2. Committed a Type II error
   3. Made the correct decision
   4. There is not enough information to answer this question

1. The number of medications taken by all adults 65 and older has a mean of 10.8 and a standard deviation of 3.9. If a sample is taken of 225 adults 65 and older, what are the mean and standard deviation of the sampling distribution?

1. If the margin of error is exactly 8 for a 90% confidence interval for the mean, where a sample of 25 is taken from data that are normally distributed and the population variance is known, what is the standard error for the mean?