Question 1

Determine the area under the standard normal curve that lies between:
-z = -0.4 and z = 0.4

Accepted Answer

A)  0.5 
B)  0.6554 
C)  0.3446 
D)  0.3108 
A)  0.5 
B)  0.6554 
C)  0.3446 
D)  0.3108

Question 2

Determine the area under the standard normal curve that lies between:
-z = 0.3 and z = 1.4

Accepted Answer

A)  0.3821 
B)  0.6179 
C)  0.9192 
D)  0.3013 
A)  0.3821 
B)  0.6179 
C)  0.9192 
D)  0.3013

Question 3

Find the indicated z-score.
-Find the z-score having area 0.86 to its right under the standard normal curve; that is, find   .

Accepted Answer

A)  0.5557 
B)  1.08 
C)  -1.08 
D)  0.8051 
A)  0.5557 
B)  1.08 
C)  -1.08 
D)  0.8051

Question 4

The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a standard deviation of 0.06 ounce. Every can that has more than 12.15 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the mean amount of soda the machine should dispense if the company wants to limit the percentage that need to be cleaned because of spillage to 3%?

Accepted Answer

A)  12.0198 oz 
B)  12.2628 oz 
C)  12.2802 oz 
D)  12.0372 oz 
A)  12.0198 oz 
B)  12.2628 oz 
C)  12.2802 oz 
D)  12.0372 oz

Question 5

Determine the area under the standard normal curve that lies between:
-z = 1 and z = 2

Accepted Answer

A)  0.1359 
B)  0.8641 
C)  0.000 8 
D)  0.000 6 
A)  0.1359 
B)  0.8641 
C)  0.000 8 
D)  0.000 6

Question 6

Determine whether the graph can represent a normal curve. If it cannot, explain why.
-

Accepted Answer

A)  The graph cannot represent a normal density function because it increases as x becomes very large or very small. 
B)  The graph can represent a normal density function. 
C)  The graph cannot represent a normal density function because it takes negative values for some values of x. 
D)  The graph cannot represent a normal density function because the area under the graph is greater than 1. 
A)  The graph cannot represent a normal density function because it increases as x becomes very large or very small. 
B)  The graph can represent a normal density function. 
C)  The graph cannot represent a normal density function because it takes negative values for some values of x. 
D)  The graph cannot represent a normal density function because the area under the graph is greater than 1.

Question 7

The graph of a normal curve is given. Use the graph to identify the value of ? and ?.

Accepted Answer

A)  ? = 12, ? = 9 
B)  ? = 3, ? = 12 
C)  ? = 12, ? = 3 
D)  ? = 9, ? = 12 
A)  ? = 12, ? = 9 
B)  ? = 3, ? = 12 
C)  ? = 12, ? = 3 
D)  ? = 9, ? = 12

Question 8

Compare a graph of the normal density function with mean of 0 and standard deviation of 1 with a graph of a normal density function with mean equal to 4 and standard deviation of 1. The graphs would

Accepted Answer

A)  Have the same height but one would be shifted 4 units to the right. 
B)  Have no horizontal displacement but one would be flatter than the other. 
C)  Have no horizontal displacement but one would be steeper that the other. 
D)  Have the same height but one would be shifter 4 units to the left. 
A)  Have the same height but one would be shifted 4 units to the right. 
B)  Have no horizontal displacement but one would be flatter than the other. 
C)  Have no horizontal displacement but one would be steeper that the other. 
D)  Have the same height but one would be shifter 4 units to the left.

Question 9

Determine whether the graph can represent a normal curve. If it cannot, explain why.
-

Accepted Answer

A)  The graph cannot represent a normal density function because the area under the graph is greater than 1. 
B)  The graph cannot represent a normal density function because as x increases without bound, the graph takes negative values. 
C)  The graph cannot represent a normal density function because it has no inflection points. 
D)  The graph can represent a normal density function. 
A)  The graph cannot represent a normal density function because the area under the graph is greater than 1. 
B)  The graph cannot represent a normal density function because as x increases without bound, the graph takes negative values. 
C)  The graph cannot represent a normal density function because it has no inflection points. 
D)  The graph can represent a normal density function.

Question 10

Determine whether the graph can represent a normal curve. If it cannot, explain why.
-

Accepted Answer

A)  The graph cannot represent a normal density function because it is not bell shaped. 
B)  The graph cannot represent a normal density function because it does not approach the horizontal axis as x increases or decreases without bound. 
C)  The graph cannot represent a normal density function because it has no inflection points. 
D)  The graph can represent a normal density function. 
A)  The graph cannot represent a normal density function because it is not bell shaped. 
B)  The graph cannot represent a normal density function because it does not approach the horizontal axis as x increases or decreases without bound. 
C)  The graph cannot represent a normal density function because it has no inflection points. 
D)  The graph can represent a normal density function.

Question 11

High temperatures in a certain city for the month of August follow a uniform distribution over the interval   to   What is the probability that a randomly selected August day has a high temperature that exceeded

Accepted Answer

A)  0.1562 
B)  0.4295 
C)  0.0313 
D)  0.8438 
A)  0.1562 
B)  0.4295 
C)  0.0313 
D)  0.8438

Question 12

Find the indicated z-score.
-Find the z-score for which the area under the standard normal curve to its left is 0.96

Accepted Answer

A)  -1.38 
B)  1.82 
C)  1.75 
D)  1.03 
A)  -1.38 
B)  1.82 
C)  1.75 
D)  1.03

Question 13

Find the indicated z-score.
-Find the z-score for which the area under the standard normal curve to its left is 0.04.

Accepted Answer

A)  -1.48 
B)  -1.89 
C)  -1.63 
D)  -1.75 
A)  -1.48 
B)  -1.89 
C)  -1.63 
D)  -1.75

Question 14

Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

The analytic scores on a standardized aptitude test are known to be normally distributed with mean   and standard deviation   (a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of test takers who scored less than 725.
(c) Suppose the area under the normal curve to the left of X = 725 is 0.8413. Provide two interpretations of this result.

Accepted Answer

(a), (b) @#IMG-DLM& (c) The two interpretations ar

Question 16

Determine whether the graph can represent a normal curve. If it cannot, explain why.
-

Accepted Answer

A)  The graph cannot represent a normal density function because a normal density curve should approach but not reach the horizontal axis as x increases and decreases without bound. 
B)  The graph cannot represent a normal density function because it is bimodal. 
C)  The graph can represent a normal density function. 
D)  A and B are both true. 
A)  The graph cannot represent a normal density function because a normal density curve should approach but not reach the horizontal axis as x increases and decreases without bound. 
B)  The graph cannot represent a normal density function because it is bimodal. 
C)  The graph can represent a normal density function. 
D)  A and B are both true.

Determine the area under the standard normal curve that lies between: -z = -0.4 and z = 0.4

Determine the area under the standard normal curve that lies between: -z = 0.3 and z = 1.4

Find the indicated z-score. -Find the z-score having area 0.86 to its right under the standard normal curve; that is, find .

Determine the area under the standard normal curve that lies between: -z = 1 and z = 2

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

The graph of a normal curve is given. Use the graph to identify the value of ? and ?.

Compare a graph of the normal density function with mean of 0 and standard deviation of 1 with a graph of a normal density function with mean equal to 4 and standard deviation of 1. The graphs would

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

High temperatures in a certain city for the month of August follow a uniform distribution over the interval to What is the probability that a randomly selected August day has a high temperature that exceeded

Find the indicated z-score. -Find the z-score for which the area under the standard normal curve to its left is 0.96

Find the indicated z-score. -Find the z-score for which the area under the standard normal curve to its left is 0.04.

Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points.

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model

Filters

Exam 7: The Normal Probability Distributions

Determine the area under the standard normal curve that lies between: -z = -0.4 and z = 0.4

Determine the area under the standard normal curve that lies between: -z = 0.3 and z = 1.4

Find the indicated z-score. -Find the z-score having area 0.86 to its right under the standard normal curve; that is, find .

Determine the area under the standard normal curve that lies between: -z = 1 and z = 2

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

The graph of a normal curve is given. Use the graph to identify the value of ? and ?.

Compare a graph of the normal density function with mean of 0 and standard deviation of 1 with a graph of a normal density function with mean equal to 4 and standard deviation of 1. The graphs would

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

High temperatures in a certain city for the month of August follow a uniform distribution over the interval to What is the probability that a randomly selected August day has a high temperature that exceeded

Find the indicated z-score. -Find the z-score for which the area under the standard normal curve to its left is 0.96

Find the indicated z-score. -Find the z-score for which the area under the standard normal curve to its left is 0.04.

Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points.

Determine whether the graph can represent a normal curve. If it cannot, explain why. -

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model

Filters