NEW
Font size
WorksheetsAP Stats Review for Quarterly
Total questions: 45
Worksheet time: 4hrs 42mins
The mean life of a tire is 30,000 km and the data is approximately Normally distributed. The standard deviation is 2000 km. Then, 68% of all tires will have a life between ___________ km and __________ km.
28,000 km and 32,000 km.
24,000 km and 34,000 km.
26,000 km and 34,000 km.
27,000 km and 31,000 km.
With practice, people become faster at solving a certain type of mathematical puzzle. Fourteen college students were allowed to practice completing a certain type of mathematical puzzle for different amounts of time. Afterwards, each student’s completion time on a new puzzle was measured. The Residual plot for regression of Completion Time on Practice Time is shown below. Which of the following is correct?
There is a no relationship between Practice Time and Puzzle Completion Time.
This regression equation would likely overestimate the Puzzle Completion Time for 175 minutes of practice time.
There is a non-linear relationship between Practice Time and Puzzle Completion Time.
Range = 1.083 feet
Range = 1 foot
Range = 1.083 feet
Range = 1 foot
Which of the following is the best estimate of the standard deviation of the distribution in the figure?
18
9
54
97
106
The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?
-0.15
0.15
1
0.62
0.85
The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to
63
67
66
72
70
To check the effect of hot temperatures on the elasticity of two brands of rubber bands, one box of Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are placed in a warm car in the sun for two hours and ten bands from the Brand B box are kept at room temperature. The amount of stretch before the breakage is measured on each rubber band, and the mean for the hot bands is compared to the mean for the others. Is this a good experimental design?
No, because the means are not proper statistics for comparison.
No, because more than two brands should be used.
No, because more temperatures should be used.
No, because temperature is confounded with brand.
Yes
Andrea'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 1.75. Which of the following is the best interpretation of this standardized score?
Andrea's systolic blood pressure is 175.
Andrea's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure of women her age.
Andrea's systolic blood pressure is 1.75 above the average systolic blood pressure of women her age
Only 1.75% of women Andrea's age have a higher systolic blood pressure than she does.
Andrea's systolic blood pressure is 1.75 times the average systolic blood pressure of women her age.
The graph shows the distribution of scores of 30 students on a mathematics test. Based on the histogram, which statement must be true?
The lowest test score is 41%.
The highest test score is 100%.
The mean test score is between 81% and 90%.
The median test score is not greater than 80%.
The lower quartile of the test scores is greater than 60%.
At a college the scores on the Spanish final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the Humanities final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the Spanish final and 84 on the Humanities final. Relative to the students in each respective class, in which subject did this student do better?
The student did better in Spanish.
The student did better in Humanities.
There is no basis for comparison, since the subjects are different from each other and are in different departments.
The student did equally well in each course.
There is not enough information for comparison.
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 20-minute time period, the reporter used a die to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 23% of the school’s student population was happy with the new menu. Which of the following statements is true?
Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 23% is an accurate measurement of the school population’s view of the new menu.
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.
The survey would have been more effective if the reporter had collected the data in one 10-minute time period rather than in one 20-minute time period.
The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.
Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.
The student government at a high school wants to conduct a survey of student opinion. It wants to begin with a simple random sample of 80 students. Which of the following survey methods will produce a simple random sample?
Survey the first 80 students to arrive at school in the morning
Survey every 5th student entering the school library until 80 students are surveyed.
Use random numbers to choose 20 each of first-year, second-year, third-year, and fourth-year students.
Number the students in the official school roster. Use a table of random numbers to choose 80 students from this roster for the survey.
Number the cafeteria seats. Use a table of random numbers to choose seats and interview the students until 80 have been interviewed.
A cosmetics supplier ships boxes of highlighter to individual customers. The distribution of weights of shipped boxes is approximately normal with mean 5 pounds and standard deviation 1.2 pounds. Which expression represents the weight, in pounds, at the 75th percentile of the distribution?
-1.96(1.2) + 5
-0.25(1.2) + 5
0.25(1.2) + 5
0.67(1.2) + 5
0.75(1.2) + 5
What can be used to show a cause-and-effect relationship between two variables?
A controlled experiment
A census
An observational study
A cross-sectional study
A sample survey
The Teachers' Health Study, a large medical experiment involving 18,000 female teachers, attempted to determine whether aspirin could help prevent heart attacks. In this study, one group of about 9,000 teachers took an aspirin every other day, while a control group took a placebo. After several years, it was determined that the teachers in the group that took aspirin had significantly fewer heart attacks than the teachers in the control group. Which of the following statements explains why it would not be appropriate to say that everyone should take an aspirin every other day?
I. The study included only teachers, and different results may occur in individuals in other occupations.
II. The study included only females and there may be different results with males.
III. Although taking aspirin may be helpful in preventing heart attacks, it may be harmful to some other aspects of health.
I only
II only
II and III only
I and III only
I, II, and III
Use the table to answer the following question. Of the male subjects in the study, what fraction drive a sports car?
39/84
39/240
39/60
60/240
84/240
The median is a better description of central tendency than the mean when the distribution is
Symmetrical
Skewed
Normal
Bimodal
84, 88, 72, 74, 98, 16, 94
What is the value of the correlation coefficient?
0.891
-0.891
0.875
0.943
-0.943
The following computer output describes the relationship between y = height (in cm) and x = foot length (also in cm) for 12 randomly selected students from the British Census @ Schools database. The scatterplot for this relationship show a roughly linear shape. Interpret the slope of this LSR equation.
For each additional one centimeter of foot length, the student's height is will increase by about 1.878 centimeters.
For each additional one centimeter of height, the student's foot length will increase by about 1.878 centimeters.
When we use the LSR line to predict a student's height from their foot length, we will typically be off by about 7.399 centimeters.
About 20.9% of the variation in student height is accounted for by the linear model relating foot length to a student's height.
About 20.9% of the variation in foot length is accounted for by the linear model relating a student's height to their foot length .
The following computer output describes the relationship between y = height (in cm) and x = foot length (also in cm) for 12 randomly selected students from the British Census @ Schools database. The scatterplot for this relationship show a roughly linear shape. Interpret r2 .
For each additional one centimeter of foot length, the student's height is will increase by about 1.878 centimeters.
For each additional one centimeter of height, the student's foot length will increase by about 1.878 centimeters.
When we use the LSR line to predict a student's height from their foot length, we will typically be off by about 7.399 centimeters.
About 20.9% of the variation in student height is accounted for by the linear model relating foot length to a student's height.
About 20.9% of the variation in foot length is accounted for by the linear model relating a student's height to their foot length .
