WorksheetsAP Cumulative Practice Test 1
Total questions: 12
Worksheet time: 36mins
Name
Class
Date
1.
The five-number summary for a data set is given by min=5, Q1=18, median=20, Q3=40, max=75. If you wanted to construct a dotplot for the data set (so that outliers are shown, if any exist), what would be the maximum possible length of the right-side whisker?
a)
33
b)
35
c)
45
d)
53
2.
In a certain large population of adults, the distribution of IQ scores is strongly left-skewed with a mean of 122 and a standard deviation of 5. Suppose 200 adults are randomly selected from the population for a market research study. The distribution of the same mean of IQ scores is....
a)
left-skewed with mean 122 and standard deviation of .35
b)
exactly normal with a mean 122 and standard deviation of .35
c)
approximately normal with mean 122 and standard deviation 5
d)
approximately normal with mean 122 and standard deviation .35
3.
A 10-question multiple choice exam offers 5 choices for each question. Jason just guesses the answers, so he has probability 1/5 of getting any one answer correct. You want to perform a simulation to determine the number of correct answers that Jason gets. One correct way to use a table of random digits to do this is the following:
a)
one digit from the random digit table simulates on answer, with 5=right and all other digits = wrong. Ten digits from the table to simulate 10 answers
b)
one digit from the random digit table simulates one answer, with 0 or 1=right and all other digits = wrong. Ten digits from the table to simulate 10 answers
c)
one digit from the random digit table simulates one answer, with odd=right and even = wrong. Ten digits from the table to simulate 10 answers
d)
Two digits from the random digit table simulate one answer, with 00 to 20 =right and 21-99=wrong. Ten pairs of digits from the table to simulate 10 answers
4.
Suppose we roll a fair die four times. The probability that a 6 occurs on exactly one of the rolls is
a)
4(1/6)3(5/6)1
b)
(1/6)1(5/6)3
c)
4(1/6)1(5/6)3
d)
6(1/6)1(5/6)3
5.
You want an SRS of 50 of the 106 students who live in a dormitory on a college campus. You label the students 001 to 816 in alphabetical order. In a table of random digits, you read the entries
95592 94007 69769 33547 72450 16632 81194 14873
The first three students in your sample have labels
95592 94007 69769 33547 72450 16632 81194 14873
The first three students in your sample have labels
a)
955, 929, 400
b)
400, 769, 335
c)
400, 769, 769
d)
559, 294, 007
6.
The number of unbroken charcoal briquets in a 20-lb bag filled at the factory follows a Normal dist. with a mean of 450 briquets and a standard deviation of 20 briquets,. The company expects that a certain number of the bags will be under filled, so the company will replace for free the 5% of bags that have too few briquets. What is the minimum number of unbroken briquets the bag would have to contain for the company to avoid having to replace the bag for free?
a)
411
b)
418
c)
425
d)
448
7.
You work for an advertising agency that is preparing a new tv commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the three versions then asked about her attitude toward the product. You think there may be large difference between women who are employed and those who are not. Because of these differences, you should use
a)
a block design, but not a matched pairs design
b)
a completely randomized design
c)
a matched pairs design
d)
a stratified random sample
8.
Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in 3% of such operations, the repair fails in 14%, and both infection and failure occur together 1% of the time. What is the probability that the operation is successful for someone who has an operation that is free from infection>
a)
.8342
b)
.8400
c)
.8600
d)
.8660
9.
The correlation between the age and height of children under the age of 12 is found to be r=0.60. Suppose we use the age x of a child to predict the height y of the child. What can we conclude?
a)
About 60% of the time, age will accurately predict height
b)
36% of the variation in height is accounted for by the linear model relating to height and age
c)
For every 1 year older a child is, the regression line predicts an increase of .6 feet in height
d)
36% of the time, the least squares regression line accurately predicts height from age
10.
An agronomist wants to test three different types of fertilizer (A,B and C) on the yield of a new variety of wheat. The yield will be measured in bushels per acre. Six 1-acre plots of land were randomly assigned to each of the three fertilizers. The treatment, experimental unit, and response variable are, respectively
a)
a specific fertilizer, bushels per acre, a plot of land
b)
a plot of land, bushels per acre, a specific fertilizer
c)
random assignment, a plot of land, wheat yield
d)
a specific fertilizer, a plot of land, wheat yield
11.
Which one of the following would be a correct interpretation if you have a z-score of +2.0 on an exam?
a)
It means tat you got twice as amny questions correct as te average student
b)
It means that your grade was 2 points higher than the mean grade on this exam
c)
It means that your grade was in the upper 2% of all grades on this exam
d)
It means that your grade is 2 standard deviations above the mean for this exam
12.
Suppose that the mean weight of a standard sized shipping box is 1.5 pounds with a standard deviation of 0.3 pounds, the mean weight of the packing material is 0.5 lbs with a standard deviation of 0.1 lbs, and the mean weight of books ordered shipped in these boxes and materials is 12 pounds with a standard deviation of 3 pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?
a)
1.84
b)
2.60
c)
3.02
d)
3.40
100 %
