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erage, taller today than they were 200 years ago. Today, the mean height of

erage, taller today than they were 200 years ago. Today, the mean height of

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 13E
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Humans are, on average, taller today than they were 200 years ago. Today, the mean height of

 

14-year-old boys is about 65 inches. Use the following relative frequency distribution of heights

 

of a group of 14-year-old boys from the 19th century to answer the following questions.

b. Find a, the slope of the least-squares line, and b, the y-intercepts of the least-squares line. DULY Ave Daria College COLLEGE OF INFORMATION TECHNOLOGY HEI Unique Institutional Identifier: 09077 WEEKLY EXAM 7 Instruction: Read the instruction carefully. Show your solutions legibly on a separate sheet of paper. 1. Problem Solving 1. Humans are, on average, taller today than they were 200 years ago. Today, the mean height of 14-year-old boys is about 65 inches. Use the following relative frequency distribution of heights of a group of 14-ycar-old boys from the 19th century to answer the following questions. Height of a Group of 19h-Centruy Boys, Age 14 Height (in inches) Under 50 50- Percent of boys 0.2 54 7.0 55- 59 46.0 60 - 64 41.0 65 - 69 5,8 Source: Journal of the Anthropological Institute of Great Britain and Ireland a. What percent of the group of 19"-century boys was at least 65 inches tall? b. What is the probability that one of the 19h-century boys selected at random was at least 55 inches tall but less than 65 inches tall? Use the Empirical Rule to answer each question. 2. In a normal distribution, what percent of the data lie a. within 2 standard deviation of the mean? b. more than I standard deviation above the mean? c. between I standard deviation below the mean and 2 standard deviations about the mean? 3. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a less than 219? b. between 190 and 225? 4. Given the bivariate data: 2 3. 3 a. Draw a scatter diagram for the data. C. Find, to the nearest hundredth, the linear correlation cocfficient. 164
Transcribed Image Text:b. Find a, the slope of the least-squares line, and b, the y-intercepts of the least-squares line. DULY Ave Daria College COLLEGE OF INFORMATION TECHNOLOGY HEI Unique Institutional Identifier: 09077 WEEKLY EXAM 7 Instruction: Read the instruction carefully. Show your solutions legibly on a separate sheet of paper. 1. Problem Solving 1. Humans are, on average, taller today than they were 200 years ago. Today, the mean height of 14-year-old boys is about 65 inches. Use the following relative frequency distribution of heights of a group of 14-ycar-old boys from the 19th century to answer the following questions. Height of a Group of 19h-Centruy Boys, Age 14 Height (in inches) Under 50 50- Percent of boys 0.2 54 7.0 55- 59 46.0 60 - 64 41.0 65 - 69 5,8 Source: Journal of the Anthropological Institute of Great Britain and Ireland a. What percent of the group of 19"-century boys was at least 65 inches tall? b. What is the probability that one of the 19h-century boys selected at random was at least 55 inches tall but less than 65 inches tall? Use the Empirical Rule to answer each question. 2. In a normal distribution, what percent of the data lie a. within 2 standard deviation of the mean? b. more than I standard deviation above the mean? c. between I standard deviation below the mean and 2 standard deviations about the mean? 3. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a less than 219? b. between 190 and 225? 4. Given the bivariate data: 2 3. 3 a. Draw a scatter diagram for the data. C. Find, to the nearest hundredth, the linear correlation cocfficient. 164
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