Applications of Normal Distributions: Finding Values

In a survey of women in the United States (ages 20-29), the mean height was 64.1 inches with a standard deviation of 2.71 inches. To the nearest tenth of an inch what height represents the 95th percentile?

In a survey of women in the United States (ages 20-29), the mean height was 64.1 inches with a standard deviation of 2.71 inches. To the nearest tenth of an inch, what height represents the first quartile?

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.00 inches. To the nearest tenth of an inch, what height represents the 90th percentile?

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.00 inches. To the nearest tenth of an inch, what height represents the first quartile?

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CCSS.6.SP.B.5C

Scores for the California Police Officer Standards and Training test are normally distributed, with a mean of 50 and a standard deviation of 10. An agency will only hire applicants with scores in the top 10%. What is the lowest score you can earn and still be eligible to be hired by the agency?

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CCSS.HSS.ID.A.4

Scores for the California Police Officer Standards and Training test are normally distributed, with a mean of 50 and a standard deviation of 10. Those officers scoring below the 20th percentile are sent to undergo additional

training. What is the minimum score needed to avoid this training?

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CCSS.HSS.ID.A.4

The length of time employees have worked at a particular company is normally distributed with mean 11.2 years and standard deviation 2.1 years. If the lowest 10% of employees in seniority are to be layed-off in a cutback, what is the maximum length of time that an employee could have worked and still be laid off?

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CCSS.HSS.ID.A.4

The length of time employees have worked at a particular company is normally distributed with mean 11.2 years and standard deviation 2.1 years. If the highest 10% of employees in seniority are to be promoted, what is the minimum length of time that an employee could have worked and still be promoted?

Tags

CCSS.HSS.ID.A.4