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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.
[removed]
A.
0.835
[removed]
B.
-0.835
[removed]
C.
-0.53
[removed]
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.
[removed]
A.
-0.39
[removed]
B.
-1.03
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C.
0.39
[removed]
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.
[removed]
A.
(-0.99, 0.99)
[removed]
B.
(-2.33, 2.33)
[removed]
C.
(-1.645, 1.645)
[removed]
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.
[removed]
A.
0.9918
[removed]
B.
0.0082
[removed]
C.
0.2881
[removed]
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.
[removed]
A.
0.0062
[removed]
B.
0.8615
[removed]
C.
0.8819
[removed]
D.
0.9938
Question 6 Provide an appropriate response.
Find the z-score that corresponds to the given area under the standard normal curve.
[removed]
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.
[removed]
A.
72.3
[removed]
B.
58.4
[removed]
C.
75.0
[removed]
D.
81.7
Question 1 Provide an appropriate response.
For the standard normal curve, find the z-score that corresponds to the 90th percentile.
[removed]
A.
1.28
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B.
1.52
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C.
0.28
[removed]
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%?
[removed]
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.
[removed]
A.
0.47
[removed]
B.
0.81
[removed]
C.
0.53
[removed]
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.
[removed]
A.
-1.03
[removed]
B.
1.03
[removed]
C.
-0.39
[removed]
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.
[removed]
A.
0.8815
[removed]
B.
0.0985
[removed]
C.
0.7613
[removed]
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.
[removed]
A.
(-1.645, 1.645)
[removed]
B.
(-2.33, 2.33)
[removed]
C.
(-1.28, 1.28)
[removed]
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?
[removed]
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.
[removed]
A.
2.41
[removed]
B.
1.405
[removed]
C.
0.84
[removed]
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.
[removed]
A.
0.9015
[removed]
B.
0.0985
[removed]
C.
0.7613
[removed]
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.
[removed]
A.
81.7
[removed]
B.
75.0
[removed]
C.
58.4
[removed]
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.
[removed]
A.
0.9005
[removed]
B.
0.8188
[removed]
C.
9.9671
[removed]
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.
[removed]
A.
-0.47
[removed]
B.
-0.98
[removed]
C.
-0.81
[removed]
D.
-0.53
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