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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?

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
Section10.4: Distributions Of Data
Problem 20PFA
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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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