6.1-6.2 Review Statistics

What is the percentage of data that falls within two standard deviations of the mean? (Empirical Rule)

• 68%

• 99.7%

• 95%

• 98%

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The Empirical (68-95-99.7) Rule can be applied only if data is ....

• Normally Distributed

• Uniform

• Skewed

• Symmetric

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Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? (Use the Empirical Rule)

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

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CCSS.HSS.ID.A.4

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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CCSS.HSS.ID.A.4

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.

(Empirical Rule)

•  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 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33
• 1.33
• 0.88
• 1.02

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CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What is the probability that in a week there would be fewer (less) than 5 accidents?

• 0.6915

• 0.1762

• 0.8238

• -0.93

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CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What is the probability that in a week there would be more than 7 accidents?

• 0.3446

• 0.2856

• 0.4

• 0.6554

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CCSS.HSS.ID.A.4

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.

If waist sizes are normally distributed, estimate the probability that a teenager will have a waist size between 28.5 and 32 inches.

• .9838

• .3594

• .3756

• .6244

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CCSS.HSS.ID.A.4

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.

• 69.37 in

• 67.58 in

• 71.91 in

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CCSS.HSS.ID.A.4