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#1 According to research, foot length of women is normally distributed with mean 9.58 inches and standard deviation 0.51 inch. The distríbution is useful to shoe manufacturers, shoe stores, and related merchants because it permits them to make informed decisions about she production, inventory and so forth. a) Sketch a Normal curve and place on it the values that correspond to 21, 12, ±3 standard deviations of the mean, as well as the mean itself. Women's Size Conversions b) What percentage of women have foot lengths between 9.5 and 10 inches? Show all your computations and shade the area under the Normal curve. Explain how US Sizes Euro Sizes UK Sizes inches CM 2.1875" 20.8 35 2 4.5 35 2.5 2.375" 21.3 you obtained your answer. 8.5 3 35-36 21.6 5.5 36 3.5 a.75 22.2 6 36-37 8.375" 22.5 4 6.5 45 9.0625" 23 37 7 37-38 5 9.25" 23.5 7.5 38 5.5 9.375" 23.8 c) What percentage of women have foot lengths below 9 inches? Show all your computations and shade the area 8.5 under the Normal curve. Explain how 8 9.5 38-39 6 24.1 39 6.5 9.6875" 24.6 obtained 9 39-40 7 9.875" 25.1 you 9.5 40 7.5 10 254 your answer. 10 40-41 8 10.1875" 25.9 10.5 41 8.5 10.3125" 26.2 10.5 11 41-42 9 26.7 11.5 42 9.5 10.6875" 27.1 42-43 10.875 27.6 12 10

#1 According to research, foot length of women is normally distributed with mean 9.58 inches and standard deviation 0.51 inch. The distríbution is useful to shoe manufacturers, shoe stores, and related merchants because it permits them to make informed decisions about she production, inventory and so forth. a) Sketch a Normal curve and place on it the values that correspond to 21, 12, ±3 standard deviations of the mean, as well as the mean itself. Women's Size Conversions b) What percentage of women have foot lengths between 9.5 and 10 inches? Show all your computations and shade the area under the Normal curve. Explain how US Sizes Euro Sizes UK Sizes inches CM 2.1875" 20.8 35 2 4.5 35 2.5 2.375" 21.3 you obtained your answer. 8.5 3 35-36 21.6 5.5 36 3.5 a.75 22.2 6 36-37 8.375" 22.5 4 6.5 45 9.0625" 23 37 7 37-38 5 9.25" 23.5 7.5 38 5.5 9.375" 23.8 c) What percentage of women have foot lengths below 9 inches? Show all your computations and shade the area 8.5 under the Normal curve. Explain how 8 9.5 38-39 6 24.1 39 6.5 9.6875" 24.6 obtained 9 39-40 7 9.875" 25.1 you 9.5 40 7.5 10 254 your answer. 10 40-41 8 10.1875" 25.9 10.5 41 8.5 10.3125" 26.2 10.5 11 41-42 9 26.7 11.5 42 9.5 10.6875" 27.1 42-43 10.875 27.6 12 10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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#1 According to research, foot length of women is normally distributed with mean 9.58 inches and standard deviation 0.51 inch. The distríbution is useful to shoe manufacturers, shoe stores, and related merchants because it permits them to make informed decisions about she production, inventory and so forth. a) Sketch a Normal curve and place on it the values that correspond to 21, 12, ±3 standard deviations of the mean, as well as the mean itself. Women's Size Conversions b) What percentage of women have foot lengths between 9.5 and 10 inches? Show all your computations and shade the area under the Normal curve. Explain how US Sizes Euro Sizes UK Sizes inches CM 2.1875" 20.8 35 2 4.5 35 2.5 2.375" 21.3 you obtained your answer. 8.5 3 35-36 21.6 5.5 36 3.5 a.75 22.2 6 36-37 8.375" 22.5 4 6.5 45 9.0625" 23 37 7 37-38 5 9.25" 23.5 7.5 38 5.5 9.375" 23.8 c) What percentage of women have foot lengths below 9 inches? Show all your computations and shade the area 8.5 under the Normal curve. Explain how 8 9.5 38-39 6 24.1 39 6.5 9.6875" 24.6 obtained 9 39-40 7 9.875" 25.1 you 9.5 40 7.5 10 254 your answer. 10 40-41 8 10.1875" 25.9 10.5 41 8.5 10.3125" 26.2 10.5 11 41-42 9 26.7 11.5 42 9.5 10.6875" 27.1 42-43 10.875 27.6 12 10
Transcribed Image Text:#1 According to research, foot length of women is normally distributed with mean 9.58 inches and standard deviation 0.51 inch. The distríbution is useful to shoe manufacturers, shoe stores, and related merchants because it permits them to make informed decisions about she production, inventory and so forth. a) Sketch a Normal curve and place on it the values that correspond to 21, 12, ±3 standard deviations of the mean, as well as the mean itself. Women's Size Conversions b) What percentage of women have foot lengths between 9.5 and 10 inches? Show all your computations and shade the area under the Normal curve. Explain how US Sizes Euro Sizes UK Sizes inches CM 2.1875" 20.8 35 2 4.5 35 2.5 2.375" 21.3 you obtained your answer. 8.5 3 35-36 21.6 5.5 36 3.5 a.75 22.2 6 36-37 8.375" 22.5 4 6.5 45 9.0625" 23 37 7 37-38 5 9.25" 23.5 7.5 38 5.5 9.375" 23.8 c) What percentage of women have foot lengths below 9 inches? Show all your computations and shade the area 8.5 under the Normal curve. Explain how 8 9.5 38-39 6 24.1 39 6.5 9.6875" 24.6 obtained 9 39-40 7 9.875" 25.1 you 9.5 40 7.5 10 254 your answer. 10 40-41 8 10.1875" 25.9 10.5 41 8.5 10.3125" 26.2 10.5 11 41-42 9 26.7 11.5 42 9.5 10.6875" 27.1 42-43 10.875 27.6 12 10
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