Question 1

Which of the following is not a characteristic for a normal distribution?

Accepted Answer

A)  It is symmetrical. 
B)  The mean is always zero. 
C)  The mean, median, and mode are all equal. 
D)  It is a bell-shaped distribution. 
A)  It is symmetrical. 
B)  The mean is always zero. 
C)  The mean, median, and mode are all equal. 
D)  It is a bell-shaped distribution. B

Question 2

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes.
-Find the probability that a student will take exactly one hour to finish the test.

Accepted Answer

0

Question 3

The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

Accepted Answer

A) True 
 B)False  True

Question 4

The value of $\chi$2 with v degrees of freedom such that the area to its right under the chi-squared curve is equal to A is denoted by    
, while    
denotes the value such that the area to its left is A.

Accepted Answer

A) True 
 B)False

Question 5

Tanner took a statistics test whose mean was 80 and standard deviation was 5. The total points possible was 100. Tanner's score was 2 standard deviations below the mean. What was Tanner's score, rounded to the nearest whole number?

Accepted Answer

A)  78 
B)  70 
C)  90 
D)  None of these choices. 
A)  78 
B)  70 
C)  90 
D)  None of these choices.

Question 6

What number corresponds to   ?

Accepted Answer

A)  28.30 
B)  26.22 
C)  21.00 
D)  5.23 
A)  28.30 
B)  26.22 
C)  21.00 
D)  5.23

Question 7

Suppose f(x) = 0.25. What range of possible values can X take on and still have the density function be legitimate?

Accepted Answer

A)  [0, 4] 
B)  [4, 8] 
C)  [-2, +2] 
D)  All of these choices are true. 
A)  [0, 4] 
B)  [4, 8] 
C)  [-2, +2] 
D)  All of these choices are true.

Question 8

Suppose X has a normal distribution with mean 10 and standard deviation 2. The probability that X is less than 8 is equal to the probability that Z is less than ____________________.

Accepted Answer

The answer of Suppose X has a normal distribution with...

Question 9

For values of degrees of freedom greater than 100, the X2 distribution can be approximated by a(n) ____________________ distribution.

Accepted Answer

Question 10

If X is a continuous random variable on the interval [0, 10], then P(X = 5) = f(5) = 1/10.

Accepted Answer

A) True 
 B)False

Question 11

P(Z < 3.00) is approximately ____________________.

Accepted Answer

The answer of P(Z < 3.00) is approximately ____________________....

Question 12

Which of the following is always true for all probability density functions of continuous random variables?

Accepted Answer

A)  The probability at any single point is zero. 
B)  They contain an uncountable number of possible values. 
C)  The total area under the density function f(x) equals 1. 
D)  All of these choices are true. 
A)  The probability at any single point is zero. 
B)  They contain an uncountable number of possible values. 
C)  The total area under the density function f(x) equals 1. 
D)  All of these choices are true.

Question 13

The total area under f(x) for a continuous random variable must equal ____________________.

Accepted Answer

The answer of The total area under f(x) for a...

Question 14

A national standardized testing company can tell you your relative standing on an exam without divulging the mean or the standard deviation of the exam scores.

Accepted Answer

A) True 
 B)False

Question 15

In the standard normal distribution, z0.05 = 1.645 means that 5% of all values of z are below 1.645 and 95% are above it.

Accepted Answer

A) True 
 B)False

Question 16

What happens to the shape, mean, and variance of a X2 distribution as the degrees of freedom increase?

Accepted Answer

The shape becomes le

Question 17

If X has a normal distribution with mean 60 and standard deviation 6, which value of X corresponds with the value z = 1.96?

Accepted Answer

A)  x = 71.76 
B)  x = 67.96 
C)  x = 61.96 
D)  x = 48.24 
A)  x = 71.76 
B)  x = 67.96 
C)  x = 61.96 
D)  x = 48.24

Question 18

The probability that a standard normal random variable Z is less than -3.5 is approximately 0.

Accepted Answer

A) True 
 B)False

Question 19

What happens to the shape, mean, and variance of a Student t distribution as the degrees of freedom increase?

Accepted Answer

As the degrees of freedom of t

Question 20

If your golf score is 3 standard deviations below the mean, its corresponding value on the Z distribution is -3.

Accepted Answer

A) True 
 B)False

Which of the following is not a characteristic for a normal distribution?

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -Find the probability that a student will take exactly one hour to finish the test.

The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

Tanner took a statistics test whose mean was 80 and standard deviation was 5. The total points possible was 100. Tanner's score was 2 standard deviations below the mean. What was Tanner's score, rounded to the nearest whole number?

What number corresponds to ?

Suppose f(x) = 0.25. What range of possible values can X take on and still have the density function be legitimate?

Suppose X has a normal distribution with mean 10 and standard deviation 2. The probability that X is less than 8 is equal to the probability that Z is less than ____________________.

For values of degrees of freedom greater than 100, the X² distribution can be approximated by a(n) ____________________ distribution.

If X is a continuous random variable on the interval [0, 10], then P(X = 5) = f(5) = 1/10.

P(Z < 3.00) is approximately ____________________.

Which of the following is always true for all probability density functions of continuous random variables?

The total area under f(x) for a continuous random variable must equal ____________________.

A national standardized testing company can tell you your relative standing on an exam without divulging the mean or the standard deviation of the exam scores.

In the standard normal distribution, z_0.05 = 1.645 means that 5% of all values of z are below 1.645 and 95% are above it.

What happens to the shape, mean, and variance of a X² distribution as the degrees of freedom increase?

If X has a normal distribution with mean 60 and standard deviation 6, which value of X corresponds with the value z = 1.96?

The probability that a standard normal random variable Z is less than -3.5 is approximately 0.

What happens to the shape, mean, and variance of a Student t distribution as the degrees of freedom increase?

If your golf score is 3 standard deviations below the mean, its corresponding value on the Z distribution is -3.

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

Which of the following is not a characteristic for a normal distribution?

Electronics Test: The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -Find the probability that a student will take exactly one hour to finish the test.

The value of a chi-squared distribution with 5 degrees of freedom such that the area to its left is 0.10 is 1.61.

The value of χ\chiχ 2 with v degrees of freedom such that the area to its right under the chi-squared curve is equal to A is denoted by , while denotes the value such that the area to its left is A.

Tanner took a statistics test whose mean was 80 and standard deviation was 5. The total points possible was 100. Tanner's score was 2 standard deviations below the mean. What was Tanner's score, rounded to the nearest whole number?

What number corresponds to ?

Suppose f(x) = 0.25. What range of possible values can X take on and still have the density function be legitimate?

Suppose X has a normal distribution with mean 10 and standard deviation 2. The probability that X is less than 8 is equal to the probability that Z is less than ____________________.

For values of degrees of freedom greater than 100, the X2 distribution can be approximated by a(n) ____________________ distribution.

If X is a continuous random variable on the interval [0, 10], then P(X = 5) = f(5) = 1/10.

P(Z < 3.00) is approximately ____________________.

Which of the following is always true for all probability density functions of continuous random variables?

The total area under f(x) for a continuous random variable must equal ____________________.

A national standardized testing company can tell you your relative standing on an exam without divulging the mean or the standard deviation of the exam scores.

In the standard normal distribution, z0.05 = 1.645 means that 5% of all values of z are below 1.645 and 95% are above it.

What happens to the shape, mean, and variance of a X2 distribution as the degrees of freedom increase?

If X has a normal distribution with mean 60 and standard deviation 6, which value of X corresponds with the value z = 1.96?

The probability that a standard normal random variable Z is less than -3.5 is approximately 0.

What happens to the shape, mean, and variance of a Student t distribution as the degrees of freedom increase?

If your golf score is 3 standard deviations below the mean, its corresponding value on the Z distribution is -3.

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

For values of degrees of freedom greater than 100, the X² distribution can be approximated by a(n) ____________________ distribution.

In the standard normal distribution, z_0.05 = 1.645 means that 5% of all values of z are below 1.645 and 95% are above it.

What happens to the shape, mean, and variance of a X² distribution as the degrees of freedom increase?