Question 1

P ( Z > 3.00)is approximately ____________________.

Accepted Answer

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

Question 2

A continuous random variable X has the following probability density function: f(x)= 1\4, 0 £ x £ 4 Find the following probabilities:

Accepted Answer

a. 0.25

Question 3

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500. Assume salaries are normally distributed with a standard deviation of $4,500. { IT Graduates Salary Narrative} What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

Accepted Answer

The answer of IT Graduates Salary The recent average starting...

Question 4

The Student t distribution:

Accepted Answer

A) is symmetrical. 
B) approaches the normal distribution as the degrees of freedom increase. 
C) has more area in the tails than the standard normal distribution does. 
D) All of these choices are true. 
A) is symmetrical. 
B) approaches the normal distribution as the degrees of freedom increase. 
C) has more area in the tails than the standard normal distribution does. 
D) All of these choices are true.

Question 5

The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

Accepted Answer

A) True 
 B)False

Question 6

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 7

Calculus Scores Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.){Calculus Scores Narrative} What is the probability that a randomly selected student will have a score of 94 or lower?

Accepted Answer

The answer of Calculus Scores Scores of high school students...

Question 8

A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50. Given that X = 175, its corresponding value of Z is - 1.50.

Accepted Answer

A) True 
 B)False

Question 9

If Z is a standard normal random variable, find the following probabilities:

Accepted Answer

a. 0.0384 
 b. 0.975

Question 10

Suppose X has an F distribution. Which of the following is true?

Accepted Answer

A) f(x)is symmetrical. 
B) All the values of X are non-negative. 
C) The mean of X is zero. 
D) All of these choices. 
A) f(x)is symmetrical. 
B) All the values of X are non-negative. 
C) The mean of X is zero. 
D) All of these choices.

Question 11

Use the t -table to find the following probabilities. 
 a. P ( t 8 > 2.306)
 b. P ( t 80 > 2.639)
 c. P ( t 24 > 1.711)
 d. P ( t 35 > 1.306)

Accepted Answer

a. 0.025

Question 12

To be a legitimate probability density function, all possible values of f(x)must be non-negative.

Accepted Answer

A) True 
 B)False

Question 13

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 14

A X 2 distribution with 5 degrees of freedom has a mean of ____________________ and a variance of ____________________.

Accepted Answer

Question 15

The probability density function, f(x), for any continuous random variable X , represents:

Accepted Answer

A) all possible values that X will assume within some interval a £ x £ b . 
B) the probability that X takes on a specific value x. 
C) the height of the density function at x . 
D) None of these choices. 
A) all possible values that X will assume within some interval a £ x £ b . 
B) the probability that X takes on a specific value x. 
C) the height of the density function at x . 
D) None of these choices.

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

Use the F table to find the following values of F . 
 a. F .99,12,20 
 b. F .95,20,40 
 c. F .975,5,15 
 d. F .99,8,30

Accepted Answer

a. 1 \ 3.86 = 0.2591

Question 18

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 19

A probability density function shows the probability for each value of X .

Accepted Answer

A) True 
 B)False

Question 20

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.

P ( Z > 3.00)is approximately ____________________.

A continuous random variable X has the following probability density function: f(x)= 1\4, 0 £ x £ 4 Find the following probabilities: $A continuous random variable X has the following probability density function: f(x)= 1\4, 0 £ x £ 4 Find the following probabilities:$

The Student t distribution:

The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

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

Calculus Scores Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.){Calculus Scores Narrative} What is the probability that a randomly selected student will have a score of 94 or lower?

A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50. Given that X = 175, its corresponding value of Z is - 1.50.

If Z is a standard normal random variable, find the following probabilities:

Suppose X has an F distribution. Which of the following is true?

Use the t -table to find the following probabilities. a. P ( t ₈ > 2.306) b. P ( t ₈₀ > 2.639) c. P ( t ₂₄ > 1.711) d. P ( t ₃₅ > 1.306)

To be a legitimate probability density function, all possible values of f(x)must be non-negative.

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

A X ² distribution with 5 degrees of freedom has a mean of and a variance of .

The probability density function, f(x), for any continuous random variable X , represents:

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

Use the F table to find the following values of F . a. F _.99,12,20 b. F _.95,20,40 c. F _.975,5,15 d. F _.99,8,30

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

A probability density function shows the probability for each value of X .

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

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 Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

Exam 7: Continuous Probability Distributions

P ( Z > 3.00)is approximately ____________________.

A continuous random variable X has the following probability density function: f(x)= 1\4, 0 £ x £ 4 Find the following probabilities:

The Student t distribution:

The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

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

Calculus Scores Scores of high school students on a national calculus exam were normally distributed with a mean of 86 and a standard deviation of 4. (Total possible points = 100.){Calculus Scores Narrative} What is the probability that a randomly selected student will have a score of 94 or lower?

A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50. Given that X = 175, its corresponding value of Z is - 1.50.

If Z is a standard normal random variable, find the following probabilities:

Suppose X has an F distribution. Which of the following is true?

Use the t -table to find the following probabilities. a. P ( t 8 > 2.306) b. P ( t 80 > 2.639) c. P ( t 24 > 1.711) d. P ( t 35 > 1.306)

To be a legitimate probability density function, all possible values of f(x)must be non-negative.

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

A X 2 distribution with 5 degrees of freedom has a mean of ____________________ and a variance of ____________________.

The probability density function, f(x), for any continuous random variable X , represents:

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

Use the F table to find the following values of F . a. F .99,12,20 b. F .95,20,40 c. F .975,5,15 d. F .99,8,30

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

A probability density function shows the probability for each value of X .

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

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 Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

A continuous random variable X has the following probability density function: f(x)= 1\4, 0 £ x £ 4 Find the following probabilities: $A continuous random variable X has the following probability density function: f(x)= 1\4, 0 £ x £ 4 Find the following probabilities:$

Use the t -table to find the following probabilities. a. P ( t ₈ > 2.306) b. P ( t ₈₀ > 2.639) c. P ( t ₂₄ > 1.711) d. P ( t ₃₅ > 1.306)

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

A X ² distribution with 5 degrees of freedom has a mean of and a variance of .

Use the F table to find the following values of F . a. F _.99,12,20 b. F _.95,20,40 c. F _.975,5,15 d. F _.99,8,30