AP Stats - Chapter 6 Practice Test

AP Stats - Chapter 6 Practice Test

9th - 12th Grade

10 Qs

quiz-placeholder

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AP Stats - Chapter 6 Practice Test

AP Stats - Chapter 6 Practice Test

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

Created by

Jason Bratten

Used 72+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a randomly-chosen subject. The psychologist found that X had the given probability distribution.


What is the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music?

0.1

0.4

0.8

1

Cannot be determined

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a randomly-chosen subject. The psychologist found that X had the given probability distribution.


The standard deviation of X is 0.9. Which of the following is the best interpretation of this value?

About 90% of subjects solved 3 or fewer puzzles.

About 68% of subjects solved between 0.9 puzzles less and 0.9 puzzles more than the mean.

The typical subject solved an average of 0.9 puzzles.

The number of puzzles solved by subjects typically differed from the mean by about 0.9 puzzles

The number of puzzles solved by subjects typically differed from one another by about 0.9 puzzles

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a randomly-chosen subject. The psychologist found that X had the given probability distribution.


Let D be the difference in the number of puzzles solved by two randomly selected subjects in a 5-minute period. What is the standard deviation of D?

0

0.81

0.9

1.27

1.8

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Suppose a student is randomly selected from your school. Which of the following pairs of random variables are most likely independent?

X = student's height; Y = student's weight

X = student's IQ; Y = student's GPA

X = student's PSAT Math Score; Y = student's PSAT Verbal Score

X = average amount of homework the student does per night; Y = student's GPA

X = average amount of homework the student does per night; Y = student's height

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A certain vending machine offers 20-ounce bottles of soda for $1.50. The number of bottles X bought from the machine on any day is a random variable with mean 50 and standard deviation 15. Let the random variable Y equal the total revenue from this machine on a given day. Assuming that the machine works properly and that no sodas are stolen from the machine, what are the mean and standard deviation of Y?

μY = 1.50, σY = 22.50\mu_Y\ =\ \text{1.50, }\sigma_Y\ =\ \text{22.50}

μY = 1.50, σY = 33.75\mu_Y\ =\ \text{1.50, }\sigma_Y\ =\ 33.75

μY = 75, σY = 18.37\mu_Y\ =\ \text{75, }\sigma_Y\ =\ 18.37

μY = 75, σY = 22.50\mu_Y\ =\ \text{75, }\sigma_Y\ =\ \text{22.50}

μY = 75, σY = 33.75\mu_Y\ =\ \text{75, }\sigma_Y\ =\ \text{33.75}

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The weight of tomatoes chosen at random from a bin at the farmer's market follows a Normal distribution with  μ = 10 ounces \mu\ =\ 10\ ounces\   and σ = 1 ounce\sigma\ =\ 1\ ounce  .  Suppose we pick four tomatoes at random from the bin and find their total weight T.  The random variable T is 

Normal, with mean 10 ounces and standard deviation 1 ounce.

Normal, with mean 40 ounces and standard deviation 2 ounces.

Normal, with mean 40 ounces and standard deviation 4 ounces.

binomial, with mean 40 ounces and standard deviation 2 ounces.

binomial, with mean 40 ounces and standard deviation 4 ounces.

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following random variables is geometric?

The number of times I have to roll a die to get two 6s.

The number of cards I deal from a well-shuffled deck

of 52 cards until I get a heart.

The number of digits I read in a randomly selected

row of the random digits table until I find a 7.

The number of 7s in a row of 40 random digits.

The number of 6s I get if I roll a die 10 times.

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