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Ten students independently performed an experiment to estimate the value on . Their results were: (a) (b) 3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10 Given that x² = 97.0011, calculate the sample mean, and sample variance, s². Stating any necessary assumption that you make, calculate a 95% confidence interval for based on these data. (c) Estimate the minimum number of results that would be needed if it is required that the width of the resulting 95% confidence interval should be at most 0.02.

Ten students independently performed an experiment to estimate the value on . Their results were: (a) (b) 3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10 Given that x² = 97.0011, calculate the sample mean, and sample variance, s². Stating any necessary assumption that you make, calculate a 95% confidence interval for based on these data. (c) Estimate the minimum number of results that would be needed if it is required that the width of the resulting 95% confidence interval should be at most 0.02.

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 19PFA
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Question 7 Ten students independently performed an experiment to estimate the value on 7. Their results were: (a) (b) (c) 3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10 Given that x² = 97.0011, calculate the sample mean, and sample variance, s². Stating any necessary assumption that you make, calculate a 95% confidence interval for based on these data. Estimate the minimum number of results that would be needed if it is required that the width of the resulting 95% confidence interval should be at most 0.02.
Transcribed Image Text:Question 7 Ten students independently performed an experiment to estimate the value on 7. Their results were: (a) (b) (c) 3.12, 3.16, 2.94, 3.33, 3.00, 3.11, 3.50, 2.81, 3.02, 3.10 Given that x² = 97.0011, calculate the sample mean, and sample variance, s². Stating any necessary assumption that you make, calculate a 95% confidence interval for based on these data. Estimate the minimum number of results that would be needed if it is required that the width of the resulting 95% confidence interval should be at most 0.02.
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