Distributions

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are between 30 and 46 years old.

• 68%

• 94%

• 95%

• 99.7%

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The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%
• 34%
• 16%
• 2.5%

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Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

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Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

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What is the percentage of data that falls within three standard deviations of the mean?

• 99.7%

• 98.7%

• 95%

• 100%

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What is the percentage of data that falls within two standard deviations of the mean?

• 68%

• 99.7%

• 95%

• 98%

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The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

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The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years. Between which two age limits must at least 75% of the data lie?

• 24 - 36 years

• 18 - 42 years

• 12 - 48 years

• 6 - 54 years

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Using Chebyshev's theorem. With a mean of 80 and a standard deviation of 5 at least what percentage of values will fall between 65 and 95?

• 75%

• 88.9%

• 93.75%

• 96%

• 97.22%

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A sample of the labor cost per hour to assemble a certain produce has a mean of $2.60 and a standard deviation of $0.15. Using Chebyshev's theorem, find the range in which at least 88.89% of the data will lie.

• $2.45 - $2.75

• $2.15 - $3.05

• -$10.73 - $15.93

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