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Practice Test 4-Z-scores and the Normal Probability Table 1) A mom with two children wanted to reward them for doing well in school, so she decided to give extra allowance money to the child who did the best on their most recent test. Her son got a score of 8.5 on his math quiz, which had a mean of 6.5 (M= 6.5) and a standard deviation of 1.8 (s 1.8). Her daughter got a score of 83 on her vocabulary test, which had a mean of 78 (M=78) and a standard deviation of 5.5 (s = 5.5). Showing all your work, state which child she should give the extra allowance money to, and briefly explain why. 2) A psychologist has been studying eye fatigue using a particular measure, which she administers to a sample of students after they have worked for 1 hour writing on a computer. On this measure, she has found a mean of 13 (M=13) and a standard deviation of 4.5 (s = 4.5) for the sample. A. What is the probability of one of these students having a score of 14.5 or higher? B. What is the probability of one of these students having a score of 14.5 or lower? C. What is the probability of one of these students having a score between 13.5 and 16? D. If a student had a z-score of -1.36, what would his or her raw score (x) be?

          Practice Test 4-Z-scores and the Normal Probability Table
1) A mom with two children wanted to reward them for doing well in school, so she decided to
give extra allowance money to the child who did the best on their most recent test. Her son
got a score of 8.5 on his math quiz, which had a mean of 6.5 (M= 6.5) and a standard
deviation of 1.8 (s 1.8). Her daughter got a score of 83 on her vocabulary test, which had a
mean of 78 (M=78) and a standard deviation of 5.5 (s = 5.5). Showing all your work, state
which child she should give the extra allowance money to, and briefly explain why.
2) A psychologist has been studying eye fatigue using a particular measure, which she
administers to a sample of students after they have worked for 1 hour writing on a computer.
On this measure, she has found a mean of 13 (M=13) and a standard deviation of 4.5 (s =
4.5) for the sample.
A. What is the probability of one of these students having a score of 14.5 or higher?
B. What is the probability of one of these students having a score of 14.5 or lower?
C. What is the probability of one of these students having a score between 13.5 and 16?
D. If a student had a z-score of -1.36, what would his or her raw score (x) be?

Practice Test 4-Z-scores and the Normal Probability Table
1) A mom with two children wanted to reward them for doing well in school, so she decided to
give extra allowance money to the child who did the best on their most recent test. Her son
got a score of 8.5 on his math quiz, which had a mean of 6.5 (M= 6.5) and a standard
deviation of 1.8 (s 1.8). Her daughter got a score of 83 on her vocabulary test, which had a
mean of 78 (M=78) and a standard deviation of 5.5 (s = 5.5). Showing all your work, state
which child she should give the extra allowance money to, and briefly explain why.
2) A psychologist has been studying eye fatigue using a particular measure, which she
administers to a sample of students after they have worked for 1 hour writing on a computer.
On this measure, she has found a mean of 13 (M=13) and a standard deviation of 4.5 (s =
4.5) for the sample.
A. What is the probability of one of these students having a score of 14.5 or higher?
B. What is the probability of one of these students having a score of 14.5 or lower?
C. What is the probability of one of these students having a score between 13.5 and 16?
D. If a student had a z-score of -1.36, what would his or her raw score (x) be?

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