A tobacco company advertises that the average nicotine content of its cigarettes is at most 14 milligrams. A consumer protection agency wants to determine whether the average nicotine content is in fact greater than 14. Á random sample of 300 cigarettes of the company's brand yields an average nicotine content of 14.6 milligrams and a standard deviation of 3.8 milligrams. (a) Determine if the data support the agency's claim that the u is greater than 14. Use a = 0.01. (b) Determine the level of significance (p-value) of your test results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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A tobacco company advertises that the average nicotine content of its cigarettes is at most
14 milligrams. A consumer protection agency wants to determine whether the average
nicotine content is in fact greater than 14. Á random sample of 300 cigarettes of the
company's brand yields an average nicotine content of 14.6 milligrams and a standard
deviation of 3.8 milligrams.
(a) Determine if the data support the agency's claim that the u is greater than 14. Use
a = 0.01.
(b) Determine the level of significance (p-value) of your test results.
Transcribed Image Text:A tobacco company advertises that the average nicotine content of its cigarettes is at most 14 milligrams. A consumer protection agency wants to determine whether the average nicotine content is in fact greater than 14. Á random sample of 300 cigarettes of the company's brand yields an average nicotine content of 14.6 milligrams and a standard deviation of 3.8 milligrams. (a) Determine if the data support the agency's claim that the u is greater than 14. Use a = 0.01. (b) Determine the level of significance (p-value) of your test results.
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Follow-up Question
A tobacco company advertises that the average nicotine content of its cigarettes is at most
14 milligrams. A consumer protection agency wants to determine whether the average
nicotine content is in fact greater than 14. A random sample of 300 cigarettes of the
company's brand yields an average nicotine content of 14.6 milligrams and a standard
deviation of 3.8 milligrams.
(a) Determine if the data support the agency's claim that the u is greater than 14. Use
a = 0.01.
(b) Determine the level of significance (p-value) of your test results.
Transcribed Image Text:A tobacco company advertises that the average nicotine content of its cigarettes is at most 14 milligrams. A consumer protection agency wants to determine whether the average nicotine content is in fact greater than 14. A random sample of 300 cigarettes of the company's brand yields an average nicotine content of 14.6 milligrams and a standard deviation of 3.8 milligrams. (a) Determine if the data support the agency's claim that the u is greater than 14. Use a = 0.01. (b) Determine the level of significance (p-value) of your test results.
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