AP Stats - Chapter 6

Calculate the z score if the mean is 75, your score is 90 and σ is 4.5

• -3.33
• 3.33
• 1.77
• 2.1

Adam's Z-score on a test is +2.5.  What does this mean?

• He'd better start studying.
• He did better than EVERYONE.
• He scored 2.5 standard deviations above the average.
• He did terrible.

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CCSS.HSS.ID.A.4

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

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CCSS.HSS.ID.A.4

Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 

• 2.5%
• 2.35%
• 16%
• 13.6%

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CCSS.HSS.ID.A.4

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

• 82
• 88
• 100
• 118

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CCSS.HSA.REI.B.3

CCSS.HSS.ID.A.4

So if Tina's Z-score is +2.0 and Paula's Z-score is +1.09, who performed better?

• Tina's performance is farther away from the mean so she did better.

• Paula's score is closer to the mean so she did better.

• They both did the same.

• No clue!

The center of the curve represents what value of a data set?

• μ
• δ
• Σ
• Ζ

A company that manufactures rivets believes the shear strength (in pounds) in modeled by N(800, 50). In what interval of shear strengths would you expect to find 95% of these rivets?

• between 700 to 900 pounds

• between 650 to 950 pounds

• between 650 to 850 pounds

• between 750 to 850 pounds

A company that manufactures rivets believes the shear strength (in pounds) in modeled by N(800, 50). About what percent of these rivets are below 900 pounds?

• 64%

• 97.5%

• 96%

• 95%

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.