Question 1

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive), then the probability that X falls between 12 and 15 is 0.30.

Accepted Answer

A) True 
 B)False

Question 2

A larger standard deviation of a normal distribution indicates that the distribution becomes:

Accepted Answer

A)  narrower and more peaked. 
B)  flatter and wider. 
C)  more skewed to the right. 
D)  more skewed to the left. 
A)  narrower and more peaked. 
B)  flatter and wider. 
C)  more skewed to the right. 
D)  more skewed to the left.

Question 3

If P(t > t.01,v) = 2.50, then the number of degrees of freedom v is:

Accepted Answer

A)  20 
B)  21 
C)  22 
D)  23 
A)  20 
B)  21 
C)  22 
D)  23

Question 4

A continuous random variable X has a uniform distribution between 5 and 25 (inclusive), then P(X = 15) = 0.05.

Accepted Answer

A) True 
 B)False

Question 5

____________________ the value of $\sigma$ in a normal distribution will make it wider.

Accepted Answer

The answer of ____________________ the value of $\sigma$ in a...

Question 6

Which of the following distributions can take on negative values?

Accepted Answer

A)  Student t 
B)  $\chi$2 
C)  F 
D)  None of these choices. 
A)  Student t 
B)  $\chi$2 
C)  F 
D)  None of these choices.

Question 7

The shape of a X2 distribution is ____________________.

Accepted Answer

positively

Question 8

Suppose X has a chi-squared distribution with 10 degrees of freedom. The mean of X is:

Accepted Answer

A)  10 
B)  9 
C)  20 
D)  None of these choices. 
A)  10 
B)  9 
C)  20 
D)  None of these choices.

Question 9

The probability density function f(x) of a random variable X that has a uniform distribution between a and b is

Accepted Answer

A)  (b + a)/2 
B)  1/b - 1/a 
C)  (a - b)/2 
D)  None of these choices. 
A)  (b + a)/2 
B)  1/b - 1/a 
C)  (a - b)/2 
D)  None of these choices.

Question 10

Which of the following statements is correct regarding the percentile points of the F distribution?

Accepted Answer

A)  F0.10,10,20 = 1/F0.90,10,20 
B)  F0.90,10,20 = 1/F0.10,20,10 
C)  F0.90,10,20 = 1/F0.90,20,10 
D)  F0.10,10,20 = 1/F0.10,20,10 
A)  F0.10,10,20 = 1/F0.90,10,20 
B)  F0.90,10,20 = 1/F0.10,20,10 
C)  F0.90,10,20 = 1/F0.90,20,10 
D)  F0.10,10,20 = 1/F0.10,20,10

Question 11

The probability density function f(x) for a uniform random variable X defined over the interval [2, 10] is

Accepted Answer

A)  0.20 
B)  8 
C)  4 
D)  None of these choices. 
A)  0.20 
B)  8 
C)  4 
D)  None of these choices.

Question 12

To be a legitimate probability density function, all possible values of f(x) must lie between 0 and 1 (inclusive).

Accepted Answer

A) True 
 B)False

Question 13

The Student t distribution with parameter v = 2 has a mean E(t) equal to:

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  None of these choices. 
A)  0 
B)  1 
C)  2 
D)  None of these choices.

Question 14

Suppose X is a normal random variable with mean 70 and standard deviation 3. Then P(X = 3) = ____________________.

Accepted Answer

The answer of Suppose X is a normal random variable...

Question 15

We define   as the value of the F with v1 and v2 degrees of freedom such that the area to its right under the F curve is A, while   is defined as the value such that the area to its left is A.

Accepted Answer

A) True 
 B)False

Question 16

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

Accepted Answer

A) True 
 B)False

Question 17

What proportion of the data from a normal distribution is within two standard deviations from the mean?

Accepted Answer

A)  0.3413 
B)  0.4772 
C)  0.6826 
D)  0.9544 
A)  0.3413 
B)  0.4772 
C)  0.6826 
D)  0.9544

Question 18

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes.
-What is the mean amount of time it takes a student to finish the test?

Accepted Answer

The answer of Electronics Test: The time it takes a...

Question 19

A X2 distribution with 5 degrees of freedom has a mean of ____________________ and a variance of ____________________.

Accepted Answer

Question 20

If the value of Z is z = 99, that means you are at the 99th percentile on the Z distribution.

Accepted Answer

A) True 
 B)False

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive), then the probability that X falls between 12 and 15 is 0.30.

A larger standard deviation of a normal distribution indicates that the distribution becomes:

If P(t > t_.01,_v) = 2.50, then the number of degrees of freedom v is:

A continuous random variable X has a uniform distribution between 5 and 25 (inclusive), then P(X = 15) = 0.05.

____________________ the value of $\sigma$ in a normal distribution will make it wider.

Which of the following distributions can take on negative values?

The shape of a X² distribution is ____________________.

Suppose X has a chi-squared distribution with 10 degrees of freedom. The mean of X is:

The probability density function f(x) of a random variable X that has a uniform distribution between a and b is

Which of the following statements is correct regarding the percentile points of the F distribution?

The probability density function f(x) for a uniform random variable X defined over the interval [2, 10] is

To be a legitimate probability density function, all possible values of f(x) must lie between 0 and 1 (inclusive).

The Student t distribution with parameter v = 2 has a mean E(t) equal to:

Suppose X is a normal random variable with mean 70 and standard deviation 3. Then P(X = 3) = ____________________.

We define as the value of the F with v₁ and v₂ degrees of freedom such that the area to its right under the F curve is A, while is defined as the value such that the area to its left is A.

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

What proportion of the data from a normal distribution is within two standard deviations from the mean?

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -What is the mean amount of time it takes a student to finish the test?

A X² distribution with 5 degrees of freedom has a mean of and a variance of .

If the value of Z is z = 99, that means you are at the 99^th percentile on the Z distribution.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 7: Continuous Probability Distributions

A continuous random variable X has a uniform distribution between 10 and 20 (inclusive), then the probability that X falls between 12 and 15 is 0.30.

A larger standard deviation of a normal distribution indicates that the distribution becomes:

If P(t > t.01,v) = 2.50, then the number of degrees of freedom v is:

A continuous random variable X has a uniform distribution between 5 and 25 (inclusive), then P(X = 15) = 0.05.

____________________ the value of σ\sigmaσ in a normal distribution will make it wider.

Which of the following distributions can take on negative values?

The shape of a X2 distribution is ____________________.

Suppose X has a chi-squared distribution with 10 degrees of freedom. The mean of X is:

The probability density function f(x) of a random variable X that has a uniform distribution between a and b is

Which of the following statements is correct regarding the percentile points of the F distribution?

The probability density function f(x) for a uniform random variable X defined over the interval [2, 10] is

To be a legitimate probability density function, all possible values of f(x) must lie between 0 and 1 (inclusive).

The Student t distribution with parameter v = 2 has a mean E(t) equal to:

Suppose X is a normal random variable with mean 70 and standard deviation 3. Then P(X = 3) = ____________________.

We define as the value of the F with v1 and v2 degrees of freedom such that the area to its right under the F curve is A, while is defined as the value such that the area to its left is A.

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

What proportion of the data from a normal distribution is within two standard deviations from the mean?

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -What is the mean amount of time it takes a student to finish the test?

A X2 distribution with 5 degrees of freedom has a mean of ____________________ and a variance of ____________________.

If the value of Z is z = 99, that means you are at the 99th percentile on the Z distribution.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

If P(t > t_.01,_v) = 2.50, then the number of degrees of freedom v is:

____________________ the value of $\sigma$ in a normal distribution will make it wider.

The shape of a X² distribution is ____________________.

We define as the value of the F with v₁ and v₂ degrees of freedom such that the area to its right under the F curve is A, while is defined as the value such that the area to its left is A.

A X² distribution with 5 degrees of freedom has a mean of and a variance of .

If the value of Z is z = 99, that means you are at the 99^th percentile on the Z distribution.