Normal Distribution & Z- Score

Using your z-score chart, what proportion of values are to the LEFT of z = -1.36?

• 0.0708

• 0.0885

• 0.0869

• 0.0853

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CCSS.HSS.ID.A.4

Using your z-score chart, what proportion of values is to the LEFT of z = 2.3?

• 0.9893

• 0.9901

• 0.9788

• 0.95

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CCSS.HSS.ID.A.4

Using your z-score chart, what proportion of values is to the RIGHT of z= -0.73?

• 0.2327

• 0.2358

• 0.7673

• 99.2327

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CCSS.HSS.ID.A.4

The average SAT score in the state of North Carolina is 1090, with a standard devaiation of 120 points. What is the probability that I score an 810 on my SAT? (If the z-score is a repeating decimal, round it to the nearest hundredth before calculating the probability)

(a)  

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CCSS.HSS.ID.A.4

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

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CCSS.HSS.ID.A.4

Find the area under the Standard Normal Curve to the left of z = 1.31.

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CCSS.HSS.ID.A.4

Find the probability P(z < -1.32).

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CCSS.HSS.ID.A.4

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 25. Find the z-score of a person who scored 260 on the exam.

• -1.6

• 1.6

• .055

• 5.5%

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CCSS.HSS.ID.A.4

On a standardized exam, the scores are normally distributed with a mean of 600 and a standard deviation of 40. Find the z-score of a person who scored 710 on the exam.

• 99.7%

• .03%

• 2.75

• -2.75

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CCSS.HSS.ID.A.4

When Brooklyn commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 45 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of her commutes will be between 40 and 50 minutes?

• 68%

• 95%

• 99.7%

• 34%

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CCSS.HSS.ID.A.4