11.1 Part 2 Normal Distribution Practice

The z-score represents.....

• the amount of standard deviations a data value is above or below the mean.
• the percentile the data value is above or below the mean.
• the amount of standard deviations a data value is above or below the median.
• the percent the data value is above or below the mean.

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If the value we are looking for is smaller than the mean, the value of z is:

• Not enough information

• Negative

• Positive

• 0

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If the value we are looking for is the same as the mean, the value of z is:

• Not enough information

• Positive

• Negative

• 0

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CCSS.HSS.ID.A.4

Find P (-1.26 < z < 3.25). 

• 0.0047
• 0.9204
• 0.8956
• 0.4981

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CCSS.HSS.ID.A.4

Find P(z > 1.78)

• 0.0376

• 0.0375

• 0.0446

• 0.2420

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Find P(z < -0.39)

• 0.3498

• 0.3483

• 0.3501

• 0.6502

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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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The life of a car battery is normally distributed with a mean of 3 years and a standard deviation of 6 months. Calculate the probability that a battery will last between 2.5 and 4 years.

• 0.0994
• 0.819
• 0.131

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The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle’s weight is more than 29 pounds.

• 0.3694
• 0.3781
• 0.0912

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The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and standard deviation of 45 pounds.

What is the probability that a miniature horse randomly selected weighs less than 140 pounds?

• .4772

• .0228

• .9544

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