tudents 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 o

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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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?  

a. 95% CI: 2.50 < µ< 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
O b.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 c. 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 d.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
Transcribed Image Text:a. 95% CI: 2.50 < µ< 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 O b.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 c. 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 d.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
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