1.131 Find the ACT percentile. Repo

1.131 Find the ACT percentile. Reports on a student’s ACT or SAT usually give the percentile as well as the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. Jacob scores 17 on the ACT. What is his percentile?
21st percentile
1.154 Leisure time for college students. You want to measure the amount of “leisure time” that college students enjoy. Write a brief discussion of two issues: (a) How will you define “leisure time”? (b) How will you measure leisure time?
1.85: E Shakespeare’s plays. Look at the histogram of lengths of words in Shakespeare’s plays, Figure 1.15 (page 25). The heights of the bars tell us what percent of words have each length. What is the median length of words used by Shakespeare? Similarly, what are the quartiles? Give the fivenumber summary for Shakespeare’s word lengths.
The five-number summary is 1, 3, 4, 5, and 12 letters
1.94 The density of the earth. Henry Cavendish (see Exercise 1.40, page 28) used x¯ to summarize his 29 measurements of the density of the earth. (a) Find x and s for his data. (b) Cavendish recorded the density of the earth as a multiple of the density of water. The density of water is almost exactly 1 gram per cubic centimeter, so his measurements have these units. In American units, the density of water is 62.43 pounds per cubic foot. This is the weight of a cube of water measuring 1 foot (that is, 30.48 cm) on each side. Express Cavendish’s first result for the earth (5.50 g/cm3) in pounds per cubic foot. Then find x¯ and s in pounds per cubic foot.
2.65 Progress in math scores. Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to perform the same math tasks. The goal is to get an honest picture of progress in math. Here are the last few national mean scores, on a scale of 0 to 500:25 Year 1990 1992 1996 2000 2003 2005
Score 263 268 272 273 278 279
(a) Make a time plot of the mean scores, by hand. This is just a scatterplot of score against year. There is a slow linear increasing trend.
(b) Find the regression line of mean score on time step-by-step. First calculate the mean and standard deviation of each variable and their correlation (use a calculator with these functions). Then find the equation of the least-squares line from these. Draw the line on your scatterplot. What percent of the year-to-year variation in scores is explained by the linear trend? (c) Now use software or the regression function on your calculator to verify your regression line.
(b) x = 1997.6667, y = 272.1667, sx = 6.0222, sy = 6.0470, r = 0.9739, and yˆ = −1681 + 0.9779x. This line explains about 95% of the variation.
2.120 Career plans of young women and men. A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen.Here are the data from the students who responded:
Gender
Major Female Male
Accounting 68 56
Administration 91 40
Economics 5 6
Finance 61 59

(a) Describe the differences between the distributions of majors for women and men with percents, with a graph, and in words.
(b) What percent of the students did not respond to the questionnaire? The nonresponse weakens conclusions drawn from these data.

Results (English) 1:

1,131 Find the ACT percentile. Reports on a student's ACT or the SAT usually give the percentile as well as the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. Jacob scores 17 on the ACT. What is his percentile?21st percentile1,154 Leisure time for college students. You want to measure the amount of "leisure time" that college students enjoy. Write a brief discussion of two issues: (a) How will you define "leisure time"? (b) How will you measure leisure time?1.85: E Shakespeare's plays. Look at the histogram of lengths of words in Shakespeare's plays, Figure 1.15 (page 25). The heights of the bars tell us what percent of words have each length. What is the median length of words used by Shakespeare? Similarly, what are the quartiles? Give the fivenumber summary for Shakespeare's word lengths.The five-number summary is 1, 3, 4, 5, and 12 letters1.94 The density of the earth. Henry Cavendish (see Exercise 1.40, page 28) used x ¯ to summarize his 29 measurements of the density of the earth. (a) Find x and s for his data. (b) Cavendish recorded the density of the earth as a multiple of the density of water. The density of water is almost exactly 1 gram per cubic centimeter, compared his measurements have these units. In American units, the density of water is 62.43 pounds per cubic foot. This is the weight of a cube of water measuring 1 foot (that is, 30.48 cm) on each side. Express Cavendish's first result for the earth (5.50 g/cm3) in pounds per cubic foot. Then find x ¯ and s in pounds per cubic foot. 2.65 Progress in math scores. Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to perform the same math tasks. The goal is to get an honest picture of progress in math. Here are the last few national mean scores, on a scale of 0 to 500:25 Year 1990 1992 1996 2000 2003 2005 The score was 263 268 272 273 278 279 (a) Make a time plot of the mean scores, by hand. This is just a scatterplot of the score against year. There is a slow linear increasing trend. (b) Find the regression line of the mean score on time step-by-step. First calculate the mean and standard deviation of each variable and their correlation (use a calculator with these functions). Then find the equation of the least-squares line from these. Draw the line on your scatterplot. What percent of the year-to-year variation in scores is explained by the linear trend? (c) Now use software or the regression function on your calculator to verify your regression line.(b) x = 1997.6667, y = 272.1667, sx = sy, 6.0222 = 6.0470, r = y = − ˆ and 0.9739 1681 + 0.9779 x. This line explains about 95% of the variation.2,120 Career plans of young women and men. A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. Here are the data from the students who responded: Gender Major Female MaleAccounting 68 56Administration 91 40Economics 5 6Finance 61 59 (a) Describe the differences between the distributions of majors for women and men with percents, with a graph, and in words. (b) What percent of the students did not respond to the questionnaire? The nonresponse weakens conclusions drawn from these data.

Results (English) 2:

1131 Find the ACT percentile. Reports on the ACT or a student's SAT Thường give the percentile as well as the actual score. The percentile is just the cumulative Proportions stated as a percent: the percent of all coal Lower scores là có this one. 17 on the ACT scores Jacob. What is his percentile?
21st percentile
1154 Leisure time for college Students. Measure the amount muốn of "leisure time" that college Students enjoy. Write a brief discussion of two issues: (a) How will you define "leisure time"? (b) How will you measure leisure time?
1.85: E Shakespeare's plays. Look at the histogram of lengths of words in Shakespeare's plays, Figure 1:15 (page 25). The heights of the bars tell us what percent of words have each length. What is the median length of words used by Shakespeare? Similarly, what are the quartiles? Give the fivenumber summary for Shakespeare's word lengths.
The five-number summary is 1, 3, 4, 5, and 12 letters
The density of the earth 1.94. Henry Cavendish (see Exercise 1:40, page 28) used to summarize x 29 measurements of the density HIS of the earth. (a) Find x and s for HIS data. (b) the density of the Cavendish thu earth as a multiple of the density of water. The density of water is 1 gram per cubic almost Exactly centimeter, compared his measurements have những units. In American units, the density of water is 62.43 pounds per cubic foot. This is the weight of a cube of water measuring 1 foot (nằm, 30.48 cm) on each side. Express Cavendish's first result for the earth (5:50 g / cm3) in pounds per cubic foot. Then find X and s in pounds per cubic foot.
2.65 Progress in math scores. Every FEW years, the National Assessment of Educational Progress asks a national sample of eighth-Graders to thực the same math tasks. The goal is to get an honest picture of progress in math. Here are the last few What mean national scores, on a scale of 0 to 500: 25 Year 1990 1992 1996 2000 2003 2005
Score 272 273 278 279 263 268
(a) Make a time plot of the mean scores, by hand. This is just a scatterplot of score Against year. There is a slow linear trend tăng.
(B) Find the regression line of the mean score on the step-by-step time. First calculate the mean and standard deviation of each variable and ask for their correlation (use a calculator with những functions). Then find the equation of the least-squares line from những. Draw the line on của scatterplot. What percent of the year-to-year variation in scores is Explained by the linear trend? (c) Now use software or the regression function calculator to verify trên của regression line.
(b) x = 1997.6667, y = 272.1667, sx = 6.0222, sy = 6.0470, r = 0.9739, and y = -1681 + 0.9779x . This line explains about 95% of the variation.
2120 Career Plans of young women and men. A study of the career of young women and men Plans sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One major question đó trong business Asked the student program are the data chosen.Here Had khỏi Students who đáp:
Gender
Male Female Major
Accounting 68 56
Administration 91 40
5 6 Economics
Finance 61 59

(a) Describe the Hiệu giữa Distributions of majors for women and men with percents, with a graph, and in words.
(b) What percent of the Students did not Respond to the questionnaire? The Conclusions drawn from những nonresponse data weakens.