Q: A corporation must appoint a president, CEO, COO, and CFO from 12 qualified candidates. How many different ways can the four officers be appointed?

$$12 \times 11 \times 10 \times 9 = 11,880$$

Question 1

Which of the following best describes the type of data represented by the salaries of all state governors?

Accepted Answer

The data are quantitative because they consist of counts or measurements.

Question 2

A researcher measures the exact distances (in centimeters) between chairs in a college classroom. Which best describes these data?

Accepted Answer

The data are continuous because the data can take on any value in an interval.

Question 3

A homeowner measured the voltage supplied to his home on 37 random days, and the average (mean) value is 124.4 volts. Is this value a statistic or a parameter?

Accepted Answer

The given value is a statistic for the year because the data collected represent a sample.

Question 4

Which of the following is an example of continuous data?

Accepted Answer

The weights (in tons) of the trees in a forest.

Question 5

A researcher selects every 546th social security number and surveys the corresponding person. What type of sampling is this?

Accepted Answer

Systematic sampling

Question 6

To determine customer opinion, Business Depot randomly selects 90 stores during a certain week and surveys all customers present in the store. What type of sampling is used?

Accepted Answer

Cluster

Question 7

Denise divides her day into morning, afternoon, and evening, then measures her blood sugar at 2 randomly selected times during each part. What type of sampling is this?

Accepted Answer

Stratified

Question 8

Given the following frequency distribution of weights (in grams) of pre-1964 quarters, which statement best describes the shape of the histogram?

Accepted Answer

The histogram appears to depict a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric.

Question 9

A dotplot of soda volumes (in oz) shows one value, 50 oz, far from the rest. Which statement is correct?

Accepted Answer

Yes, the volume of 50 oz appears to be an outlier because it is far away from the other volumes.

Question 10

A Pareto chart of job sources shows the highest frequency for executive search firms. What is the most effective approach to getting a job, according to the data?

Accepted Answer

Executive search firms (E)

Question 11

Given the jersey numbers of players on a sports team, which of the following is true about the mean, median, mode, and midrange of these numbers?

Accepted Answer

The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

Question 12

A boxplot is constructed for the following data: 2.0, 2.5, 3.0, 3.0, 3.0, 3.0, 3.5, 3.5, 3.5, 3.5, 3.5, 4.0, 4.5, 5.5, 5.5, 5.5, 6.0, 6.0, 6.0, 7.0. What is the 5-number summary?

Accepted Answer

$$2, 3, 3.5, 5.5, 7$$

Question 13

In modified boxplots, a data value is a(n) _______ if it is above $$Q_3 + 1.5($$IQR)$$ or below Q_1$ - 1.5(IQR).$$

Accepted Answer

outlier

Question 14

Suppose there are 3,024 possible four-digit lottery numbers (with repetition allowed), and only one is the winner. What is the probability of winning with a straight bet?

Accepted Answer

$$P(A) = 0.00033$$

Question 15

A research center poll showed that 79% of people believe it is morally wrong to not report all income on tax returns. What is the probability that someone does NOT have this belief?

Accepted Answer

$$0.21$$

Question 16

In an experiment, college students were given either four quarters or a $1 bill and could spend it on gum or keep it. Of those given four quarters, 28 purchased gum and 14 kept the money. What is the probability that a student given four quarters spent the money?

Accepted Answer

$$0.667$$

Question 17

A thief must guess a five-digit ATM PIN code using a 10-key keypad, with repetition allowed. What is the probability of guessing the correct code on the first try?

Accepted Answer

$$\frac{1}{100,000}$$

Question 18

A corporation must appoint a president, CEO, COO, and CFO from 12 qualified candidates. How many different ways can the four officers be appointed?

Accepted Answer

$$12 	imes 11 	imes 10 	imes 9 = 11,880$$

Question 19

A probability distribution is given by $$x = 0, 1, 2, 3$$ with $$P(x) = 0.105, 0.354, 0.393, 0.148. $$What is the mean of the random variable $$x$$?

Accepted Answer

$$\mu = 1.6$$

Question 20

In a state's lottery, you select three digits (0-9) and win if the same three numbers are drawn in the same order. What is the probability of winning?

Accepted Answer

$$\frac{1}{1000}$$

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