Question 1

The relationship between the standard normal random variable z and normal random variable X is that:

Accepted Answer

A) Only the normal random variable X is continuous. 
B) Only the standard normal variable z is continuous. 
C) The standard normal variable z counts the number of standard deviations that the value of the normal random variable X is away from its mean. 
D) The values of the standard normal random variable z cannot be negative. 
E) The values of the normal random variable X cannot be negative. 
A) Only the normal random variable X is continuous. 
B) Only the standard normal variable z is continuous. 
C) The standard normal variable z counts the number of standard deviations that the value of the normal random variable X is away from its mean. 
D) The values of the standard normal random variable z cannot be negative. 
E) The values of the normal random variable X cannot be negative.

Question 2

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

Accepted Answer

The answer of Given that X is a normal random...

Question 3

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.
-What is the standard deviation of the water depth?

Accepted Answer

The answer of While conducting experiments, a marine biologist selects...

Question 4

A standard normal distribution has a mean of _____ and standard deviation of _____.

Accepted Answer

A) zero;zero 
B) zero;one 
C) one;one 
D) one;zero 
E) zero;three 
A) zero;zero 
B) zero;one 
C) one;one 
D) one;zero 
E) zero;three

Question 5

Suppose the distribution of personality test scores is normally distributed with a mean of 15 and a variance of 25.
-What percentage of the population scores between 10 and 20?

Accepted Answer

The answer of Suppose the distribution of personality test scores...

Question 6

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores between 10 and 20?

Accepted Answer

A) 53.28% 
B) 59.87% 
C) 49.13% 
D) 50.00% 
E) 68.26% 
A) 53.28% 
B) 59.87% 
C) 49.13% 
D) 50.00% 
E) 68.26%

Question 7

The price of an energy sports drink is normally distributed with an average of $2.25 and a standard deviation of $0.15 across store outlets.
-What is the probability that a randomly selected drink will cost more than $2.50?

Accepted Answer

.0475
P
.5

The relationship between the standard normal random variable z and normal random variable X is that:

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m. -What is the standard deviation of the water depth?

A standard normal distribution has a mean of _ and standard deviation of _.

Suppose the distribution of personality test scores is normally distributed with a mean of 15 and a variance of 25. -What percentage of the population scores between 10 and 20?

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores between 10 and 20?

The price of an energy sports drink is normally distributed with an average of $2.25 and a standard deviation of $0.15 across store outlets. -What is the probability that a randomly selected drink will cost more than $2.50?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Exam 5: Continuous Random Variables

The relationship between the standard normal random variable z and normal random variable X is that:

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m. -What is the standard deviation of the water depth?

A standard normal distribution has a mean of _____ and standard deviation of _____.

Suppose the distribution of personality test scores is normally distributed with a mean of 15 and a variance of 25. -What percentage of the population scores between 10 and 20?

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores between 10 and 20?

The price of an energy sports drink is normally distributed with an average of $2.25 and a standard deviation of $0.15 across store outlets. -What is the probability that a randomly selected drink will cost more than $2.50?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

A standard normal distribution has a mean of _ and standard deviation of _.