Introduction to Normal Distributions Answers
Use the information on the right to determine which students will have positive z-scores.
Cynthia’s z-score is .
0.2
grams
2925
4000 g✔ 4500 g5000 g5500 g6000 g
99.7% of all newborn babies in the United States weigh between and .
4000 g4500 g✔ 5000 g5500 g6000 g
According to the empirical rule, 68% of all newborn babies in the United States weigh between and .
According to the empirical rule, 68% of 7-year-old children are between inches and inches tall.
Question text not available
What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.
2.5%. The z-score for 2,500 g is -2. About 95% of babies weigh between 2,500 g and 4,500 g, leaving 5% in the two tails. Since the normal distribution is symmetric, 2.5% weigh less than 2,500 g.
✔ 4000 g4500 g5000 g5500 g6000 g
Question text not available
Which of the following did you include in your response? Check all of the boxes that apply.
95% of all newborn babies in the United States weigh between and .
95% of 7-year-old children are between ⇒ 45 inches and inches tall.
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