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Students on an internship program in the US Fish and Wildlife Service wishes to test the nitrogen content on rivers and waterways in the US Midwest states. 36 sample measurements were taken in various rivers and waterways and the average nitrogen content is found to be in 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean mercury content. Population standard deviation is 0.3 gram per milliliter. If the students want the error to be less than 0.05, how large a sample size would be required at 95% confidence? Would the required sample size increase if a higher degree of confidence is set? O a.95% CI: 2.47 < µ< 2.73; 99% CI: 2.50 < µ< 2.70. Sample size should be 139. Smaller sample size required if the students set the % confidence higher O b.95% CI: 2.47 < µ< 2.73; 99% CI: 2.50 < µ< 2.70. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O . 95% CI: 2.50 < µ< 2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O d.95% CI: 2.50 <µµ< 2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 138. Sample size required will increase if the students set the % confidence higher

Students on an internship program in the US Fish and Wildlife Service wishes to test the nitrogen content on rivers and waterways in the US Midwest states. 36 sample measurements were taken in various rivers and waterways and the average nitrogen content is found to be in 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean mercury content. Population standard deviation is 0.3 gram per milliliter. If the students want the error to be less than 0.05, how large a sample size would be required at 95% confidence? Would the required sample size increase if a higher degree of confidence is set? O a.95% CI: 2.47 < µ< 2.73; 99% CI: 2.50 < µ< 2.70. Sample size should be 139. Smaller sample size required if the students set the % confidence higher O b.95% CI: 2.47 < µ< 2.73; 99% CI: 2.50 < µ< 2.70. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O . 95% CI: 2.50 < µ< 2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O d.95% CI: 2.50 <µµ< 2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 138. Sample size required will increase if the students set the % confidence higher

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
Section: Chapter Questions
Problem 25SGR
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CI on Mean, Variance Known Students on an internship program in the US Fish and Wildlife Service wishes to test the nitrogen content on rivers and waterways in the US Midwest states. 36 sample measurements were taken in various rivers and waterways and the average nitrogen content is found to be in 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean mercury content. Population standard deviation is 0.3 gram per milliliter. If the students want the error to be less than 0.05, how large a sample size would be required at 95% confidence? Would the required sample size increase if a higher degree of confidence is set? O a. 95% CI: 2.47 < u< 2.73; 99% CI: 2.50 < µ<2.70. Sample size should be 139. Smaller sample size required if the students set the % confidence higher O b.95% CI: 2.47 < u< 2.73; 99% CI: 2.50 < µ<2.70. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O c. 95% CI: 2.50 <µ< 2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O d.95% CI: 2.50 < µ< 2.70; 99% CI: 2.47 < u <2.73. Sample size should be 138. Sample size required will increase if the students set the % confidence higher
Transcribed Image Text:CI on Mean, Variance Known Students on an internship program in the US Fish and Wildlife Service wishes to test the nitrogen content on rivers and waterways in the US Midwest states. 36 sample measurements were taken in various rivers and waterways and the average nitrogen content is found to be in 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean mercury content. Population standard deviation is 0.3 gram per milliliter. If the students want the error to be less than 0.05, how large a sample size would be required at 95% confidence? Would the required sample size increase if a higher degree of confidence is set? O a. 95% CI: 2.47 < u< 2.73; 99% CI: 2.50 < µ<2.70. Sample size should be 139. Smaller sample size required if the students set the % confidence higher O b.95% CI: 2.47 < u< 2.73; 99% CI: 2.50 < µ<2.70. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O c. 95% CI: 2.50 <µ< 2.70; 99% CI: 2.47 < µ< 2.73. Sample size should be 139. Sample size required will increase if the students set the % confidence higher O d.95% CI: 2.50 < µ< 2.70; 99% CI: 2.47 < u <2.73. Sample size should be 138. Sample size required will increase if the students set the % confidence higher
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