Cumulative area to z score

Se A Standard Normal Table To Find The Z-Score That Corresponds To The Cumulative Area

Question 1 Provide an appropriate response.
Use a standard normal table to find the z-score that corresponds to the cumulative area of 0.7019.

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A.

0.835

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B.

-0.835

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C.

-0.53

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D.

0.53

Question 2 Provide an appropriate response Find the z-score that has 84.85% of the distribution's area to its right.

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A.

-0.39

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B.

-1.03

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C.

0.39

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D.

1.03

Question 3 Provide an appropriate response Find the z-scores for which 90% of the distribution's area lies between -z and z.

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A.

(-0.99, 0.99)

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B.

(-2.33, 2.33)

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C.

(-1.645, 1.645)

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D.

(-1.96, 1.96)

Question 4 Provide an appropriate response.Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches.

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A.

0.9918

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B.

0.0082

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C.

0.2881

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D.

0.8989

Question 5 Provide an appropriate response.
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are randomly selected, find the probability that their mean blood pressure will be less than 117.

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A.

0.0062

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B.

0.8615

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C.

0.8819

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D.

0.9938

Question 6 Provide an appropriate response.
Find the z-score that corresponds to the given area under the standard normal curve.

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A.

z = 0.42

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B.

z=0.40

Question 7 Provide an appropriate response.The scores on a mathematics exam have a mean of 70 and a standard deviation of 5. Find the x-value that corresponds to the z-score 2.33.

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A.

72.3

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B.

58.4

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C.

75.0

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D.

81.7

Question 1 Provide an appropriate response.
For the standard normal curve, find the z-score that corresponds to the 90th percentile.

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A.

1.28

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B.

1.52

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C.

0.28

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D.

2.81

Question 2 Provide an appropriate response.
Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $37,000 and a standard deviation of $5000. What is the cutoff salary for teachers in the bottom 10%?

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A.

$28,775

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B.

$30,600

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C.

$45,225

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D.

$43,400

Question 3 Provide an appropriate response.Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $29,000 and a standard deviation of $2000. What is the cutoff salary for teachers in the top 10%?

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Question 4 Provide an appropriate responseFind the z-score that is greater than the mean and for which 70% of the distribution's area lies to its left.

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A.

0.47

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B.

0.81

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C.

0.53

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D.

0.98

Question 5 Provide an appropriate response.
Find the z-score that has 84.85% of the distribution's area to its right.

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A.

-1.03

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B.

1.03

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C.

-0.39

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D.

0.39

Question 6 Provide an appropriate response.The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds.

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A.

0.8815

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B.

0.0985

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C.

0.7613

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D.

0.9015

Question 7 Provide an appropriate response.
Find the z-score for which 99% of the distribution's area lies between -z and z.

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A.

(-1.645, 1.645)

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B.

(-2.33, 2.33)

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C.

(-1.28, 1.28)

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D.

(-2.575, 2.575)

Question 8 Provide an appropriate response.The distribution of room and board expenses per year at a four-year college is normally distributed with a mean of $5850 and standard deviation of $1125. Random samples of size 20 are drawn from this population and the mean of each sample is determined. Which of the following mean expenses would be considered unusual?

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A.

none of these

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B.

$6180

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C.

$5180

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D.

$6350

Question 1 Provide an appropriate response. Use a standard normal table to find the z-score that corresponds to the 80th percentile.

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A.

2.41

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B.

1.405

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C.

0.84

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D.

0.2

Question 2 Provide an appropriate response.The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be less than 200 pounds.

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A.

0.9015

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B.

0.0985

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C.

0.7613

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D.

0.8815

Question 3 Provide an appropriate response.The scores on a mathematics exam have a mean of 70 and a standard deviation of 5. Find the x-value that corresponds to the z-score 2.33.

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A.

81.7

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B.

75.0

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C.

58.4

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D.

72.3

Question 4 Provide an appropriate response.Assume that the heights of men are normally distributed with a mean of 69.5 inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 70.5 inches.

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A.

0.9005

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B.

0.8188

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C.

9.9671

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D.

0.0021

Question 5 Provide an appropriate response.Find the z-score for which 70% of the distribution's area lies to its right.

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A.

-0.47

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B.

-0.98

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C.

-0.81

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D.

-0.53