AnswersAZ-Common Core Algebra II BIntroduction to Normal Distributions

Introduction to Normal Distributions Answers

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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.

Question illustration
Answers:
Blank 1:43
Blank 2:55
22
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Which of the following did you include in your response? Check all of the boxes that apply.

A
The z-score for 2,500 g is –2.
B
According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g.
C
5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g.
D
Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500g.
23

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.

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.

24

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

Answer:

1.4

25

4000 g4500 g5000 g5500 g6000 g

A
4000 g
B
4500 g
C
5000 g
D
5500 g
E
6000 g
26

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

Answer:

51

27

✔ 4000 g4500 g5000 g5500 g6000 g

A
✔ 4000 g
B
4500 g
C
5000 g
D
5500 g
E
6000 g
28

Question text not available

Answer:

51

29

Question text not available

Answer:

53

30

Question text not available

Answer:

55

31

1000 g1500 g2000 g2500 g3000 g

A
1000 g
B
1500 g
C
2000 g
D
2500 g
E
3000 g
32

Question text not available

Answers:
95% of all newborn babies in the United States weigh between and .:2500 g
95% of all newborn babies in the United States weigh between and .:4500 g
33

1000 g1500 g2000 g✔ 2500 g3000 g

Answers:
95% of all newborn babies in the United States weigh between and .:2500 g
95% of all newborn babies in the United States weigh between and .:4500 g
34

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

Answer:

53

35

4000 g✔ 4500 g5000 g5500 g6000 g

A
4000 g
B
✔ 4500 g
C
5000 g
D
5500 g
E
6000 g
36

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

Question illustration
Answer:

43

37

Question text not available

Answers:
99.7% of all newborn babies in the United States weigh between and .:2000 g
99.7% of all newborn babies in the United States weigh between and .:5000 g
38

1000 g1500 g✔ 2000 g2500 g3000 g

Answers:
99.7% of all newborn babies in the United States weigh between and .:2000 g
99.7% of all newborn babies in the United States weigh between and .:5000 g
39

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

Answer:

55

40

4000 g4500 g✔ 5000 g5500 g6000 g

A
4000 g
B
4500 g
C
✔ 5000 g
D
5500 g
E
6000 g

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