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.
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0.835
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B.
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-0.835
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C.
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-0.53
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D.
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0.53
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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.
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-0.39
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B.
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-1.03
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C.
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0.39
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D.
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1.03
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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.
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(–0.99, 0.99)
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B.
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(–2.33, 2.33)
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C.
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(–1.645, 1.645)
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D.
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(–1.96, 1.96)
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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.
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0.9918
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B.
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0.0082
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C.
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0.2881
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D.
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0.8989
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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.
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0.0062
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B.
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0.8615
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C.
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0.8819
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D.
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0.9938
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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.
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z = 0.42
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B.
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z=0.40
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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.
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72.3
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B.
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58.4
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C.
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75.0
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D.
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81.7
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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.
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1.28
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B.
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1.52
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C.
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0.28
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D.
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2.81
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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.
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$28,775
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B.
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$30,600
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C.
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$45,225
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D.
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$43,400
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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.
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0.47
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B.
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0.81
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C.
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0.53
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D.
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0.98
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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.
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-1.03
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B.
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1.03
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[removed]
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C.
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-0.39
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D.
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0.39
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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.
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0.8815
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B.
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0.0985
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C.
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0.7613
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D.
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0.9015
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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.
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(–1.645, 1.645)
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B.
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(–2.33, 2.33)
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C.
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(–1.28, 1.28)
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D.
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(–2.575, 2.575)
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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.
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none of these
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B.
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$6180
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C.
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$5180
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D.
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$6350
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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.
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2.41
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B.
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1.405
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C.
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0.84
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D.
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0.2
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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.
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0.9015
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B.
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0.0985
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[removed]
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C.
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0.7613
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[removed]
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D.
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0.8815
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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.
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81.7
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B.
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75.0
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C.
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58.4
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D.
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72.3
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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.
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0.9005
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B.
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0.8188
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C.
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9.9671
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D.
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0.0021
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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.
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–0.47
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[removed]
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B.
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–0.98
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[removed]
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C.
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–0.81
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[removed]
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D.
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–0.53
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