The distributions of four variables are shown in the following histograms. Which of the following shapes is NOT represented by one of the four distributions?
uniform
A company determines the mean and standard deviation of the number of sick days taken by its employees in one year. Which of the following is the best description of the standard deviation?
Approximately the mean distance between the number of sick days taken by individual employees and the mean number of sick days taken by all employees
A graph (not shown) of the selling prices of homes in a certain city for the month of April reveals that the distribution is skewed to the left. Which of the following statements is the most reasonable conclusion about the selling prices based on the grap
The value of maximum minus third quartile is less than the value of first quartile minus minimum
A local real estate magazine used the median instead of the mean when it reported the SAT score of the average student who attends Groveland High School. A graphical display of SAT scores of June to attend Groveland High School indicated that the data wer
The mean is affected by the skewness whereas the median is not
A marketing firm obtained random samples of 20 people in five regions of the country to investigate the level of interest in a new product. People in the sample were asked to rate their level of interest on a scale from 1 to 10, with 1 being the least amo
Region D
At a local ice-cream store, 210 people were surveyed on whether they 4/4 preferred eating ice cream from a cone or a cup. Of the 210 people surveyed, 70 were adults and 140 were children. Of the responses, 150 indicated the cone as the preferred method of
C
As part of a science experiment, a student recorded 10 measurements of the temperature of a liquid. One of the measurements was an outlier when compared with the other 9 measurements. Which of the following must be true about the 9 measurements, excluding
The standard deviation of the 9 measurements is less than the standard deviation of the 10 measurements.
A car rental agency has two locations in a city. The box plots below summarize the miles driven for one day if single - day car rentals at each location. Based on the box plots, which statement provides the best comparison of the two locations?
Compared with location a, the miles driven for location b display more variability and the median is greater
The histogram shows the distribution of heights, in inches, of 100 adult men. Based on the histogram, which of the following is closest to the interquartile range, in inches, of the distribution?
5
Which of the following statements must be true about the data sets A and B displayed in histograms below?
The standard deviation of data set A is greater than the standard deviation of data set B
In a certain School District, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of Dunes from each grade who participate in the community service
Grade 12 had the least frequency of participating students
Scientists estimate that the distribution of the life span of the Gal�pagos Islands giant tortoise is approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which of the following is closest to the age of a Gal�pa
A.80 years
B.115 years
C.120 years
D.125 years
E.130 years
At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the calculus final are also approximately normally distributed, with a mean of 80 and a standard de
A.The student did better in chemistry.
B.The student did better in calculus.
C.The student did equally well in each course.
D.There is no basis for comparison, since the subjects are different from each other and are in different departments.
E.There is n
Some descriptive statistics for a set of test scores are shown below. For this test, a certain student has a standardized score of z = -1.2. What score did this student receive on the test?
A.266.28
B.779.42
C.1008.02
D.1083.38
E.1311.98
The caffeine content of 8-ounce cans of a certain cola drink is approximately normally distributed with mean 33 milligrams (mg). A randomly selected 8-ounce can containing 35 mg of caffeine is 1.2 standard deviations above the mean. Approximately what per
A. 1%
B. 8%
C. 12%
D. 16%
E. 99%
The weight of adult male grizzly bears living in the wild in the continental United States is approximately normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bears is approximately nor
A. 276 pounds
B. 324 pounds
C. 330 pounds
D. 340 pounds
E. 530 pounds
Gina's doctor told her that the standardized score (z- score) for her systolic blood pressure, as compared to the blood pressure of other women her age, is 1.50. Which of the following is the best interpretation of this standardized score?
A. Gina's systolic blood pressure is 150.
B. Gina's systolic blood pressure is 1.50 standard deviations above the average systolic blood pressure of women her age.
C. Gina's systolic blood pressure is 1.50 above the average systolic blood pressure of wome
A candy company produces individually wrapped candies. The quality control manager for the company believes that the weight of the candies is approximately normally distributed with mean 720 milligrams (mg).If the manager's belief is correct, which of the
A. 740 mg to 780 mg
B. 700 mg to 740 mg
C. 680 mg to 720 mg
D. 660 mg to 700 mg
E. 620 mg to 660 mg
Shalise competed in a jigsaw puzzle competition where participants are timed on how long they take to complete puzzles of various sizes. Shalise completed a small puzzle in 75 minutes and a large jigsaw puzzle in 140 minutes. For all participants, the dis
A. 16% on the small puzzle and 16% on the large puzzle
B. 16% on the small puzzle and 84% on the large puzzle
C. 32% on the small puzzle and 68% on the large puzzle
D. 84% on the small puzzle and 84% on the large puzzle
E. 84% on the small puzzle and 16%
The distribution of heights of 6-year-old girls is approximately normally distributed with a mean of 46.0 inches and a standard deviation of 2.7 inches. Aliyaah is 6 years old, and her height is 0.96 standard deviation above the mean. Her friend Jayne is
A. Aliyaah's height is at the 17th percentile of the distribution, and she is shorter than Jayne.
B. Aliyaah's height is at the 67th percentile of the distribution, and she is shorter than Jayne.
C. Aliyaah's height is at the 67th percentile of the distri
Which of the following is the correct order from least to greatest for the values of r, s, and t ?
A. r, s, t
B. r, t, s
C. s, t, r
D. t, r, s
E. t, s, r
A botanist foundA correlation between the length of an Aspen Leaf and its surface area to be 0.94. Why does the correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an
Even with a correlation value of 0.94 is possible that the relationship could still be better represented by a non-linear model.
A field researcher who studies lions conjectured got them more time a cub spent playing, the sooner the Cub will begin to hunt. Observational data were collected from 20 line cups. The researcher recorded how long they spent play and the age when they beg
For female cubs only.
A family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their Farm. They subdivide their land into several smaller plots of land for testing and would like to select an exploratory variable th
The amount of fertilizer applied to each plot of land
If the point labeled a is removed, which of the following statements would be true?
The slope of the least-squares regression line increases and the correlation coefficient increases.
At a large airport, data Data was recorded for one month on how many baggage items were unloaded from each flight upon arrival as well as the time required to deliver all the baggage items on the flight to the baggage claim area. A scatter plot of the two
The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded, will be very close to the time predicted buy a least squares model.
Suppose a roadrunner has a total length of 59.0 cm and a tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?
Underestimate, because the residual is positive.
Which of the above statements about a least-squares regression analysis is true?
III only
...
I, II
A tennis ball was thrown in the air. The height of the ball from the ground was recorded every millisecond from the time the ball was thrown until it reached the height from which it was drawn. The correlation between the time and height was computed to b
There is no correlation between time and height.
Dairy Farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount milk produced, in gallons per week. The least Square regression line produced from a random sample is milk hat = 40.8 - 1.1(age). Based o
A Cow of five years is predicted to produce 5.5 more gallons per week.
Which of the following distinguishes an observational study from a randomized experiment?
In an observational study treatments are not randomly assigned, whereas in a randomized experiment treatments are randomly assigned.
Which of the following can be used to show a cause-and-effect relationship between two variables?
A controlled experiment
A well-designed experiment should have which of the following characteristics?
I, II, and III
In a certain school, students can choose whether to eat in the school's cafeteria. A reporter working for the school's newspaper polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 30-m
Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.
A researcher wanted to study the effects of a certain chemical on cell growth. The chemical was to be applied at two different doses, high and low, to two different cell types, strain A and strain B. Each combination of dose and cell type was to be replic
Lab technician
A researcher conducting a telephone survey is concerned about possible sources of bias. Of the following, which is the best example of nonresponse bias?
Many of the people selected to participate in the survey who do not respond might have opinions different from those who do respond.
A new restaurant is interested in determining the best time-temperature combination for roasting a five-pound cut of lamb. The times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees Fahrenheit and 425 degrees Fahrenhe
The two cuts that are being roasted for each time-temperature combination are an example of replication.
An experiment will be conducted to determine whether children learn their multiplication facts better by practicing with flash cards or by practicing on a computer. Children who volunteer for the experiment will be randomly assigned to one of the two trea
The child will know whether he or she used flash cards or the computer.
Under which of the following conditions is it preferable to use stratified random sampling rather than simple random sampling?
The population can be divided into strata so that the individuals in each stratum are as much alike as possible.
Measurements of water quality were taken from a river downstream from an abandoned chemical dumpsite. Concentrations of a certain chemical were obtained from 9 measurements taken at the surface of the water, 9 measurements taken at mid-depth of the water,
An observational study was conducted, and the response variable is the concentration of the chemical.
Researchers wanted to investigate whether babies have a sense of right and wrong. They showed each of 60 babies a puppet show in which a red puppet was trying to open a heavy box lid. A second puppet, called the helper, would try to help the red puppet op
If the same role is played by the same color puppet, the babies might show a preference for the color instead of a preference for the role.
Staff members of a high school newspaper want to obtain an estimate of the average number of years teachers in the state have been teaching. At an educational conference attended by many teachers in the state, the staff members randomly selected 50 confer
The sample is the 50 conference attendees, and the population is all conference attendees.
The table shows data that were collected from people who attended a certain high school basketball game and indicates the team each person rooted for and whether each of these people purchased food during the game. A person who attended the game will be s
A. Rooting for the home team and rooting for the away team
A large store has a customer service department where customers can go to ask for help with store-related issues. According to store records, approximately � of all customers who go to the service department ask for help finding an item. Assume the reason
c.
At a sporting event, cheerleaders will throw 50 bundled T-shirts into the crowd. The T-shirt sizes consist of 10 small, 15 medium, and the remainder either large or extra large. Suppose Ana catches a T-shirt. What is the probability that she will catch a
E. 0.80
4) A store owner reports that the probability that a customer who purchases a lawn mower will also purchase an extended warranty is 0.68. Which of the following is the best interpretation of the probability 0.68 ?
For all customers who purchase a lawn mower, 68% will also purchase an extended warranty.
5) The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. Is Avery interpreting t
No, because 0.40 represents probability in the long run over many visits to the site.
in a parking lot with 200 cars, 50 cars are white, 30 cars are red, and 20 cars are silver. One car will be selected at random from the parking lot. If each car in the parking has only one color, which of the following cannot be the probability that the s
0.6
A police officer is using a radar device to check motorists' speeds. Prior to beginning the speed check, the officer estimates that 40 percent of motorists will be driving more than 5 miles per hour over the speed limit. Assuming that the police officer's
0.8704
A fair coin has come up 'heads' 10 times in a row. The probability that the coin will come up heads on the next flip is...
50%
List the sample space and tell whether the outcomes are equally likely. A family has two children; record the genders in order of birth.
{BB, BG, GB, GG}, equally likely
List the sample space and tell whether the outcomes are equally likely. A family has two children; record the number of girls.
{0,1,2}, not equally likely
Opinion-polling organizations contact their respondents by sampling random telephone numbers. Assume that interviewers can now reach about 71% of U.S. households, while the percentage of those contacted who agree to cooperate with the survey is 31%. Each
0.78
In driving a car, the events of driving over the speed limit and getting a speeding ticket are?
Neither independent or disjoint
A high school science teacher has 78 students. Of those students, 35 are in the band and 32 are on a sports team. There are 16 students who are not in the band or on a sports team. One student from the 78 students will be selected at random. Let event B r
No, because P(B ? S) = 5/78
The seniors at three high schools were surveyed about their plans after graduation. The following table shows the responses, classified by high school.
One senior from the high schools will be selected at random. What is the probability that the senior se
396/538
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that
If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B ?
Event A and event B are not mutually exclusive and are independent.
Students at a local elementary school were shown a painting and asked which emotion�joy, happiness, love, or anger�they felt by looking at the painting. The students were classified by their age. The following table summarizes the responses of the student
28/89
Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative result on this test. If 5 percent of a certain population has
14%
A tropical storm is classified as major if it has sustained winds greater than 110 miles per hour. Based on data from the past two decades, a meteorologist estimated the following percentages about future storms.
Based on the meteorologist's estimates, ap
0.170
Sam surveyed 200 students at a school and recorded the eye color and the gender of each student. Of the 80 male students who were surveyed, 60 had brown eyes. If eye color and gender are independent, how many female students surveyed would be expected to
90
For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mecha
0.335
At a California college, 22% of students speak Spanish, 5% speak French, and 3% speak both languages. What is the probability that a student chosen at random from the college speaks Spanish but not French?
0.19
The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 9 small, 7 medium, and 4 large shirts. Alan is looking for a large shirt. He starts grabbing shirts one at a time and checking the size. After he checks each
0.140