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Test Review

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Scores on the math section of the SAT are normally distributed with a mean of 650 and a standard deviation of 50. What percentage of the math scores are between 500 - 800? 99.7%

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Weight is normally distributed with a mean of 100 lbs and a standard deviation of 15. What percentage of people fall between 70 - 100? 47.75%

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Scores on the Social Studies section of the GHSGT are normally distributed with a mean of 210 and a standard deviation of 20. What is the percent of social studies scores that fall between 190 - 270? 84%

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Soccer goals by year are normally distributed with a mean of 55 and a standard deviation of 3. Find the z-score for 50. -1.67

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Juan’s grades are normally distributed with a mean of 78 with a standard deviation of 5. What is the z-score for 85? 1.40

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The temperatures for September are normally distributed with a mean of 94º and standard deviation of 2º. What is the z-score for 91º? -1.50

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Snowfall in January is normally distributed with a mean of 4.5” and a standard deviation of.5”. What percent of the data is below 5.1”? 88.49%

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Love Poems in Mr. Kirkpatrick’s mailbox average 7 per day with a standard deviation of 2. What percent of the data is more than 9? 15.87%

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Find the percent that gives the following z-score: 1.57 94.18%

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Find the percent that gives the following z-score: -.42 33.72%

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Find the z-score that is closest to having the exact percentage of 56% .15

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Find the z-score that is closest to having the exact percentage of 21% -.81

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What are the two z-scores that contain middle 30% of the data? -.39,.39

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What are the two z-scores that contain middle 80% of the data? -1.28, 1.28

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Gas mileage for a Toyota Prius is 44 mpg with a standard deviation of 3. The middle 60% of these cars have a mileage between _____ and _____. 41.5, 46.5

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Gas mileage for a Toyota Tacoma is 21 mpg with a standard deviation of 2. The middle 64% of these cars have a mileage between _____ and _____. 19.2, 22.8

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A sample of 64 juniors at Southeast have an average IQ of 76 with a standard deviation of 4. Construct a 95% Confidence level for mean IQ. 75.02, 76.98

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A sample of 30 freshmen at Southeast have an average IQ of 50 with a standard deviation of 3. Construct a 99% Confidence level for mean IQ. 48.59, 51.41

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A recent study was conducted at Southeast High School to examine who was the most loved teacher. Of the 30 students polled, 60% selected Mr. Kirkpatrick. Construct a 95% Confidence Interval for the population percentage for Mr. Kirkpatrick. 42.6%, 77.4%

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A recent study was conducted at Southeast High School to examine who was the most hated teacher. Of the 50 students polled, 85% selected Mr. Appelman. Construct a 99% Confidence Interval for the population percentage for Mr. Appelman. 72.1%, 97.9%

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12 FURTHER MATHEMATICS STANDARD SCORES. Standard scores The 68–95–99.7% rule makes the standard deviation a natural measuring stick for normally distributed.

12 FURTHER MATHEMATICS STANDARD SCORES. Standard scores The 68–95–99.7% rule makes the standard deviation a natural measuring stick for normally distributed.

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