Use the information in Example 6.3 to answer the following questions. Quiz
The question sheet
Reveal any answer as you study-
For 15-18 yr-old Chilean males in 2009-2010, X follows which distribution?
- X ~ N(172.36, 6.34)
- X ~ N(176, 6.28)
- X ~ N(170, 6.28)
- X ~ N(160.58, 6.34)
Reveal answer
Answer: X ~ N(170, 6.28)
Source evidence
PDF page 378: The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170 cm with a standard deviation of 6.28 cm. Male heights are known to follow a normal distribution. Let X = the height of a 15 to 18-year-old male from Chile in 2009 to 2010. Then X ~ N(170, 6.28).
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What was the mean height of 15-18 yr-old Chilean males in 2009-2010?
- 176 cm
- 172.36 cm
- 162.85 cm
- 170 cm
Reveal answer
Answer: 170 cm
Source evidence
PDF page 378: The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170 cm with a standard deviation of 6.28 cm. Male heights are known to follow a normal distribution. Let X = the height of a 15 to 18-year-old male from Chile in 2009 to 2010. Then X ~ N(170, 6.28).
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What was the standard deviation of male heights in 2009-2010?
- 1.5 cm
- 6.34 cm
- 170 cm
- 6.28 cm
Reveal answer
Answer: 6.28 cm
Source evidence
PDF page 378: The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170 cm with a standard deviation of 6.28 cm. Male heights are known to follow a normal distribution. Let X = the height of a 15 to 18-year-old male from Chile in 2009 to 2010. Then X ~ N(170, 6.28).
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From 1984 to 1985, what was the mean height of 15-18 yr-old Chilean males?
- 162.85 cm
- 176 cm
- 172.36 cm
- 170 cm
Reveal answer
Answer: 172.36 cm
Source evidence
PDF page 377: From 1984 to 1985, the mean height of 15 to 18-year-old males from Chile was 172.36 cm, and the standard deviation was 6.34 cm. Let Y = the height of 15 to 18-year-old males from 1984 to 1985. Then Y ~ N(172.36, 6.34).
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From 1984 to 1985, what was the standard deviation of male heights?
- 6.34 cm
- 1.5 cm
- 2 cm
- 6.28 cm
Reveal answer
Answer: 6.34 cm
Source evidence
PDF page 377: From 1984 to 1985, the mean height of 15 to 18-year-old males from Chile was 172.36 cm, and the standard deviation was 6.34 cm. Let Y = the height of 15 to 18-year-old males from 1984 to 1985. Then Y ~ N(172.36, 6.34).
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For the 1984-1985 heights, Y follows which distribution?
- Y ~ N(162.85, 6.28)
- Y ~ N(172.36, 6.34)
- Y ~ N(176, 6.34)
- Y ~ N(170, 6.28)
Reveal answer
Answer: Y ~ N(172.36, 6.34)
Source evidence
PDF page 377: From 1984 to 1985, the mean height of 15 to 18-year-old males from Chile was 172.36 cm, and the standard deviation was 6.34 cm. Let Y = the height of 15 to 18-year-old males from 1984 to 1985. Then Y ~ N(172.36, 6.34).
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What is the z-score for x = 160.58 cm?
- z = –2
- z = 1.5
- z = 0
- z = –1.5
Reveal answer
Answer: z = –1.5
Source evidence
PDF page 378: The z-score for x = -160.58 is z = –1.5.
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What is the z-score for y = 162.85 cm?
- z = –1.5
- z = 1.5
- z = 2
- z = –2
Reveal answer
Answer: z = –1.5
Source evidence
PDF page 378: The z-score for y = 162.85 is z = –1.5.
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In part b, a z-score of z = –2 tells you the height is how far from the mean?
- 6.28 standard deviations
- 2 standard deviations
- 1.5 standard deviations
- zero standard deviations
Reveal answer
Answer: 2 standard deviations
Source evidence
PDF page 377: b. Suppose that the height of a 15 to 18-year-old male from Chile from 2009 to 2010 has a z-score of z = –2. What
PDF page 377: is the male’s height? The z-score (z = –2) tells you that the male’s height is ________ standard deviations to the
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A z-score of z = –2 places the male's height on which side of the mean?
- Left of the mean
- Right of the mean
- At the mean
- Above the mean
Reveal answer
Answer: Left of the mean
Source evidence
PDF page 377: is the male’s height? The z-score (z = –2) tells you that the male’s height is ________ standard deviations to the
PDF page 377: __________ (right or left) of the mean.
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Male heights in Chile are known to follow which type of distribution?
- Exponential distribution
- Normal distribution
- Uniform distribution
- Binomial distribution
Reveal answer
Answer: Normal distribution
Source evidence
PDF page 378: The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170 cm with a standard deviation of 6.28 cm. Male heights are known to follow a normal distribution. Let X = the height of a 15 to 18-year-old male from Chile in 2009 to 2010. Then X ~ N(170, 6.28).
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In part a, what value of x is used for the Chilean male's height?
- 176 cm
- 160.58 cm
- 172.36 cm
- 170 cm
Reveal answer
Answer: 176 cm
Source evidence
PDF page 377: a. Suppose a 15 to 18-year-old male from Chile was 176 cm tall from 2009 to 2010. The z-score when x = 176 cm
Introductory Statistics
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