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Find the indicated z-score. -Find the z-score having area 0.86 to its right under the standard normal curve; that is, find Find the indicated z-score. -Find the z-score having area 0.86 to its right under the standard normal curve; that is, find . A) 0.5557 B) 1.08 C) -1.08 D) 0.8051 .


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

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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


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.

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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. - 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.

Correct Answer

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


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

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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. - 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.

Correct Answer

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The analytic scores on a standardized aptitude test are known to be normally distributed with mean 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. and standard deviation 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. (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.

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(a), (b) blured image (c) The two interpretations ar...

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


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

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


A) Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points. A) B) C) D)
B) Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points. A) B) C) D)
C) Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points. A) B) C) D)
D) Draw a normal curve with ? = 60 and ? = 10. Label the mean and the inflection points. A) B) C) D)

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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. - 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.

Correct Answer

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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%?


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

Correct Answer

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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. - 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.

Correct Answer

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High temperatures in a certain city for the month of August follow a uniform distribution over the interval 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 A) 0.1562 B) 0.4295 C) 0.0313 D) 0.8438 to 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 A) 0.1562 B) 0.4295 C) 0.0313 D) 0.8438 What is the probability that a randomly selected August day has a high temperature that exceeded 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 A) 0.1562 B) 0.4295 C) 0.0313 D) 0.8438


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

Correct Answer

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The graph of a normal curve is given. Use the graph to identify the value of ? and ?. The graph of a normal curve is given. Use the graph to identify the value of ? and ?. A) ? = 12, ? = 9 B) ? = 3, ? = 12 C) ? = 12, ? = 3 D) ? = 9, ? = 12


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

Correct Answer

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


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

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


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

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


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

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