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i) Ho : | = 200 : H₁ μ< 200 Нo μ = 200 H₁ μ b) A testing agency is concerned about the level of a certain pollutant in a local river (normally distributed with σ = 15 PPM), which must remain below 200 PPM in order to avoid risk to wildlife. A test engineer measures the concentration of the pollutant in 12 random locations in the river, finding an average concentration of 193 PPM. Does her result seem to indicate that the pollutant concentration is below 200 PPM? Let α = 0.05. Circle the correct null and alternative hypotheses. Нo μ = 200 200 Н₁ μ> 200 ii) What is the probability that the test engineer will reject Ho while it is actually true? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) vi) Determine the critical value of the test statistic. Do not round or truncate. Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does her result seem to indicate that the pollutant concentration is below 200 PPM? Circle your response. YES NO

i) Ho : | = 200 : H₁ μ< 200 Нo μ = 200 H₁ μ b) A testing agency is concerned about the level of a certain pollutant in a local river (normally distributed with σ = 15 PPM), which must remain below 200 PPM in order to avoid risk to wildlife. A test engineer measures the concentration of the pollutant in 12 random locations in the river, finding an average concentration of 193 PPM. Does her result seem to indicate that the pollutant concentration is below 200 PPM? Let α = 0.05. Circle the correct null and alternative hypotheses. Нo μ = 200 200 Н₁ μ> 200 ii) What is the probability that the test engineer will reject Ho while it is actually true? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) vi) Determine the critical value of the test statistic. Do not round or truncate. Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does her result seem to indicate that the pollutant concentration is below 200 PPM? Circle your response. YES NO

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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i) Ho : | = 200 : H₁ μ< 200 Нo μ = 200 H₁ μ b) A testing agency is concerned about the level of a certain pollutant in a local river (normally distributed with σ = 15 PPM), which must remain below 200 PPM in order to avoid risk to wildlife. A test engineer measures the concentration of the pollutant in 12 random locations in the river, finding an average concentration of 193 PPM. Does her result seem to indicate that the pollutant concentration is below 200 PPM? Let α = 0.05. Circle the correct null and alternative hypotheses. Нo μ = 200 200 Н₁ μ> 200 ii) What is the probability that the test engineer will reject Ho while it is actually true? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) vi) Determine the critical value of the test statistic. Do not round or truncate. Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does her result seem to indicate that the pollutant concentration is below 200 PPM? Circle your response. YES NO
Transcribed Image Text:i) Ho : | = 200 : H₁ μ< 200 Нo μ = 200 H₁ μ b) A testing agency is concerned about the level of a certain pollutant in a local river (normally distributed with σ = 15 PPM), which must remain below 200 PPM in order to avoid risk to wildlife. A test engineer measures the concentration of the pollutant in 12 random locations in the river, finding an average concentration of 193 PPM. Does her result seem to indicate that the pollutant concentration is below 200 PPM? Let α = 0.05. Circle the correct null and alternative hypotheses. Нo μ = 200 200 Н₁ μ> 200 ii) What is the probability that the test engineer will reject Ho while it is actually true? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) vi) Determine the critical value of the test statistic. Do not round or truncate. Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does her result seem to indicate that the pollutant concentration is below 200 PPM? Circle your response. YES NO
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