Introduction to Normal Distributions Answers

Use the information on the right to determine which students will have positive z-scores.

What is the z-score of a newborn who weighs 4,000 g?

What weight would give a newborn a z-score of −0.75? [___] grams

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Cynthia’s z-score is .

A newborn who weighs 2,500 g or less has a low birth weight. Use the information on the right to find the z-score of a 2,500 g baby.

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According to the empirical rule, 68% of 7-year-old children are between [___] inches and [___] inches tall.

According to the empirical rule, 68% of 7-year-old children are between inches and inches tall. 95% of 7-year-old children are between inches and inches tall.

99.7% of 7-year-old children are between [___] inches and [___] inches tall.

Brenda is 50 inches tall. Her z-score is ⇒ 0.5.

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According to the empirical rule, 68% of 7-year-old children are between [___] inches and [___] inches tall.

95% of 7-year-old children are between [___] inches and [___] inches tall.

99.7% of 7-year-old children are between [___] inches and [___] inches tall.