# Se a standard normal table to find the z-score that corresponds to

**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 90

^{th}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%?

**___________________________________________________________________________________________________________________________________________________________________________________________________________________________**

**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 80^{th} 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 |

[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.

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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 |

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