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7 (2) (Weights of Children) Listed below are the weights (in pounds) of 20 six graders randomly selected from a group of millions. 70 92 85 75 90 95 71 80 73 60 63 72 53 69 83 81 71 77 80 100 (a) Construct a stem-and-leaf plot and make your comment on the shape of the distribution. Can we assume the weights of all children in the group are approximately normally distributed? (b) Calculate the mean and standard deviation of the sample data (Write the formulas used in this calculation). (c) What is the point estimate for the mean weight of all children in this group? Check whether the requirements are satisfied in order to apply the central limit theorem for the sampling distribution of the sample mean à (assuming normality of population). (d) Construct a 95% confidence interval estimate of for the mean of all children in the group. (e) Write a brief statement that accurately describe your results and includes all relevant infor- mation in plain English. What do the result tell us about the mean weight of college students?

7 (2) (Weights of Children) Listed below are the weights (in pounds) of 20 six graders randomly selected from a group of millions. 70 92 85 75 90 95 71 80 73 60 63 72 53 69 83 81 71 77 80 100 (a) Construct a stem-and-leaf plot and make your comment on the shape of the distribution. Can we assume the weights of all children in the group are approximately normally distributed? (b) Calculate the mean and standard deviation of the sample data (Write the formulas used in this calculation). (c) What is the point estimate for the mean weight of all children in this group? Check whether the requirements are satisfied in order to apply the central limit theorem for the sampling distribution of the sample mean à (assuming normality of population). (d) Construct a 95% confidence interval estimate of for the mean of all children in the group. (e) Write a brief statement that accurately describe your results and includes all relevant infor- mation in plain English. What do the result tell us about the mean weight of college students?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 8Q
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7 (2) (Weights of Children) Listed below are the weights (in pounds) of 20 six graders randomly selected from a group of millions. 70 92 85 75 90 95 71 80 73 60 63 72 53 69 83 81 71 77 80 100 (a) Construct a stem-and-leaf plot and make your comment on the shape of the distribution. Can we assume the weights of all children in the group are approximately normally distributed? (b) Calculate the mean and standard deviation of the sample data (Write the formulas used in this calculation). (c) What is the point estimate for the mean weight of all children in this group? Check whether the requirements are satisfied in order to apply the central limit theorem for the sampling distribution of the sample mean à (assuming normality of population). (d) Construct a 95% confidence interval estimate of for the mean of all children in the group. (e) Write a brief statement that accurately describe your results and includes all relevant infor- mation in plain English. What do the result tell us about the mean weight of college students?
Transcribed Image Text:7 (2) (Weights of Children) Listed below are the weights (in pounds) of 20 six graders randomly selected from a group of millions. 70 92 85 75 90 95 71 80 73 60 63 72 53 69 83 81 71 77 80 100 (a) Construct a stem-and-leaf plot and make your comment on the shape of the distribution. Can we assume the weights of all children in the group are approximately normally distributed? (b) Calculate the mean and standard deviation of the sample data (Write the formulas used in this calculation). (c) What is the point estimate for the mean weight of all children in this group? Check whether the requirements are satisfied in order to apply the central limit theorem for the sampling distribution of the sample mean à (assuming normality of population). (d) Construct a 95% confidence interval estimate of for the mean of all children in the group. (e) Write a brief statement that accurately describe your results and includes all relevant infor- mation in plain English. What do the result tell us about the mean weight of college students?
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