Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean μ = 55.5 inches and standard deviation o = 2.7 inches.¹ ¹Centers for Disease Control and Prevention growth chart at http://www.cdc.gov/growthcharts/html_charts/statage.htm.

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Please read the passage on Boys Heights and then answer two parts questions to get the correct answers carefully.

Boys Heights
Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean μ = 55.5 inches and standard
deviation o = 2.7 inches.¹
¹Centers for Disease Control and Prevention growth chart at http://www.cdc.gov/growthcharts/html_charts/statage.htm.
(a) According to this normal distribution, what proportion of 10-year-old boys are between 4 ft 4.5 in and 5 ft 0.5 in tall (between
52.5 inches and 60.5 inches)?
Round your answer to three decimal places.
Proportion = i
eTextbook and Media
(b) A parent says his 10-year-old son is in the 99th percentile in height. How tall is this boy?
Round your answer to two decimal places.
Height = i
inches
Transcribed Image Text:Boys Heights Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean μ = 55.5 inches and standard deviation o = 2.7 inches.¹ ¹Centers for Disease Control and Prevention growth chart at http://www.cdc.gov/growthcharts/html_charts/statage.htm. (a) According to this normal distribution, what proportion of 10-year-old boys are between 4 ft 4.5 in and 5 ft 0.5 in tall (between 52.5 inches and 60.5 inches)? Round your answer to three decimal places. Proportion = i eTextbook and Media (b) A parent says his 10-year-old son is in the 99th percentile in height. How tall is this boy? Round your answer to two decimal places. Height = i inches
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