se a standard normal table to find the z-score that corresponds to the cumulative area
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question.docxQuestion 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 response Find 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 |
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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 |
