Question 1

Classify the variable: The length of a Super Bowl commercial. Is this variable qualitative or quantitative?

Accepted Answer

Quantitative

Question 2

The number of oranges contained in a 5-pound bag is an example of which type of variable?

Accepted Answer

Discrete

Question 3

A Pinellas County consumer group wants to estimate the average monthly maintenance cost for pool owners in the county. They survey 57 randomly selected pool owners. What is the population in this study?

Accepted Answer

All pool owners in Pinellas County

Question 4

A manufacturing company implements a new sick-leave policy at one randomly selected facility out of 7 and analyzes the results. What sampling method is being used?

Accepted Answer

Cluster sampling

Question 5

A histogram shows the miles per gallon (mpg) for car models. If 2 out of 20 models achieve greater than 35 mpg, what percent of the models achieve greater than 35 mpg?

Accepted Answer

$$20\%$$

Question 6

A boxplot of cholesterol levels for 100 patients shows that the interquartile range (IQR) is from 180 to 265 mg/dL. How many patients had cholesterol levels between 180 and 265 mg/dL?

Accepted Answer

About 50

Question 7

Given the data: Number of questions missed by six students: $$4, 3, 1, 2, 3, 5. $$What is the mean number of questions missed?

Accepted Answer

$$3$$

Question 8

The number of stories in the 11 tallest buildings in St. Paul, MN are: $$32, 36, 26, 20, 32, 18, 16, 34, 26, 27, 26. $$What is the range?

Accepted Answer

$$18$$

Question 9

A state university system found that among their 8 universities, the median cost of tuition for a 12-credit hour semester was $6,500. Which is the correct interpretation?

Accepted Answer

Half of the 8 universities had a tuition cost less than or equal to $6,500.

Question 10

The number of seeds in a variety of oranges is approximately normal with mean $$\mu = 15$$ and standard deviation $$\sigma = 3. $$Using the Empirical Rule, what percent of oranges have between 12 and 18 seeds?

Accepted Answer

$$68\%$$

Question 11

Norma is 65 inches tall. If the mean height for women is 64 inches with a standard deviation of 2 inches, how many standard deviations from the mean is Norma?

Accepted Answer

$$0.5$$

Question 12

Scores on the verbal reasoning portion of the GRE have a mean of 150 and a standard deviation of 8. What can be said about a student's performance if their z-score is $$-2$$?

Accepted Answer

Their score is 16 points below the mean.

Question 13

Male heights are normally distributed with mean $$71$$ inches and standard deviation $$4.3$$ inches. Female heights: mean $$65$$ inches, standard deviation $$3.5$$ inches. Who is comparably taller: a male who is $$84$$ inches tall or a female who is $$75$$ inches tall?

Accepted Answer

The female is comparably taller.

Question 14

At a college with 600 freshmen, 400 sophomores, 300 juniors, and 200 seniors, what is the probability that a randomly selected student is a sophomore?

Accepted Answer

$$0.25$$

Question 15

The probability that an individual has Type A blood is $$0.40. $$What is the probability that a randomly selected individual has a blood type other than A?

Accepted Answer

$$0.60$$

Question 16

A hotel has 20 rooms on the first floor, 60 on the second, 40 on the third, and 20 on the fourth. If a room is assigned at random, what is the probability it is on an odd-numbered floor?

Accepted Answer

$$0.50$$

Question 17

An insurance company found that $$70\% of $$their policies insure cars, $$20\%$$ insure boats, and $$5\%$$ insure both. What percentage of their policies insure a car or a boat?

Accepted Answer

$$85\%$$

Question 18

If $$62\% of $$people wash their hands after using the restroom, what is the probability that all three people you shake hands with have washed their hands?

Accepted Answer

$$0.238$$

Question 19

Statistics show that $$30\% of $$Americans wear a costume for Halloween and $$80\% of $$those purchased some portion of their costume. What is the probability that a randomly selected American spent money on a costume?

Accepted Answer

$$0.24$$

Question 20

If the probability that a blood donor has Type A blood is $$0.40$$, what is the probability that exactly 3 out of 6 randomly chosen donors have Type A blood?

Accepted Answer

$$0.2765$$

Fundamental Concepts and Applications in Introductory Statistics

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