3. Choose the best answer.
(a) The Knot.com surveyed nearly 13,000 couples, who married in 2017, and asked how much they spent on their wedding. The average amount of money spent on was $33,391. The value $33,391 is a:
(i) parameter
(ii) statistic
(iii) cannot be determined from information provided.

(b) A marketing agent asked people to rank the quality of a new soap on a scale from 1 (poor) to 5 (excellent). The level of this measurement is
(i) nominal
(ii) ordinal
(iii) interval
(iv) ratio

6. Consider selecting one card at a time from a 52-card deck. What is the probability that the first card is a diamond and the second card is also a diamond? Express the probability in fraction format. (Note: There are 13 diamonds in a deck of cards)
(a) Assuming the card selection is with replacement.
(b) Assuming the card selection is without replacement.

7. Mimi has eight new summer outfits. She plans to pack three of the new summer outfits in her trip to Tokyo.
(a) How many different ways can the three summer outfits be selected?
(b) Please describe the method used and the reason why it is appropriate for answering the question.

8. A business man needs to visit clients in 7 different cities.
(a) How many different routes can he take?
(b) Please describe the method used and the reason why it is appropriate for answering the question. Just the answer, without the description and reason, will receive no credit.

9. Recent research suggests that car ownership may have peaked. The following probability distribution table shows the random variable, x, where x is number of cars owned by household:
x P(x)
0 0.09
1 0.17
2 0.47
3 0.24
4 0.03

(a) Determine the mean of x (Round the answer to two decimal places).
(b) Determine the standard deviation of x. (Round the answer to two decimal places)

10. Max Scherzer, the starting pitcher for the Nationals, on average, has a 0.250 probability of hitting the ball in a single "at bat". In one game, he gets 6 "at bats."
(a) Let X be the number of hits that Max gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
(b) Find the probability that he gets at least 3 hits in the one game.

11. Assume that gas mileage for cars is normally distributed with a mean of 23.6 miles per gallon and a standard deviation of 8 miles per gallon. Show all work. Just the answer, without supporting work, will receive no credit.
(a) What is the probability that a randomly selected car gets between 21 and 26 miles per gallon? (Round the answer to 4 decimal places)
(b) Find the 65th percentile of the miles per gallon distribution. (Round the answer to 2 decimal places)

12. Based on the performance of all individuals who tested between July 1, 2013 and June 30, 2016, the GRE Verbal Reasoning scores are normally distributed with a mean of 149.97 and a standard deviation of 8.49. Show all work.
(a) For a sample of size 49, state the standard deviation of the sample mean (the "standard error of the mean"). (Round your answer to three decimal places)
(b) Suppose a sample of size 49 is taken. Find the probability that the sample mean GRE Verbal Reasoning scores is more than 152. (Round your answer to three decimal places)

3. Choose the best answer. (a) The Knot.com surveyed nearly 13,00...