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The total nitrogen (TN) concentration (mg/L) is one of the important indicators for a water sample. It is targeted that the TN discharge from any factory shall have a precisely 30 mg/L according to the standard set by the local authority. Therefore, an engineer from Factory X has randomly collected 8 samples (21 mg/L, 23 mg/L, 30 mg/L, 28 mg/L, 22 mg/L, 27 mg/L, 32 mg/L, and 35 mg/L) to check whether the factory abide with the standard. After a proper investigation, the engineer claims that the TN concentrations discharge from the Factory X is lower than the allowable limit. Assess if his claim is true by considering appropriate confidence level. (Note: Provide answer in 2 decimals)

The total nitrogen (TN) concentration (mg/L) is one of the important indicators for a water sample. It is targeted that the TN discharge from any factory shall have a precisely 30 mg/L according to the standard set by the local authority. Therefore, an engineer from Factory X has randomly collected 8 samples (21 mg/L, 23 mg/L, 30 mg/L, 28 mg/L, 22 mg/L, 27 mg/L, 32 mg/L, and 35 mg/L) to check whether the factory abide with the standard. After a proper investigation, the engineer claims that the TN concentrations discharge from the Factory X is lower than the allowable limit. Assess if his claim is true by considering appropriate confidence level. (Note: Provide answer in 2 decimals)

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
Section10.3: Measures Of Spread
Problem 1GP
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The total nitrogen (TN) concentration (mg/L) is one of the important indicators for a water sample. It is targeted that the TN discharge from any factory shall have a precisely 30 mg/L according to the standard set by the local authority. Therefore, an engineer from Factory X has randomly collected 8 samples (21 mg/L, 23 mg/L, 30 mg/L, 28 mg/L, 22 mg/L, 27 mg/L, 32 mg/L, and 35 mg/L) to check whether the factory abide with the standard. After a proper investigation, the engineer claims that the TN concentrations discharge from the Factory X is lower than the allowable limit. Assess if his claim is true by considering appropriate confidence level. (Note: Provide answer in 2 decimals)
Transcribed Image Text:The total nitrogen (TN) concentration (mg/L) is one of the important indicators for a water sample. It is targeted that the TN discharge from any factory shall have a precisely 30 mg/L according to the standard set by the local authority. Therefore, an engineer from Factory X has randomly collected 8 samples (21 mg/L, 23 mg/L, 30 mg/L, 28 mg/L, 22 mg/L, 27 mg/L, 32 mg/L, and 35 mg/L) to check whether the factory abide with the standard. After a proper investigation, the engineer claims that the TN concentrations discharge from the Factory X is lower than the allowable limit. Assess if his claim is true by considering appropriate confidence level. (Note: Provide answer in 2 decimals)
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