deviation s = 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actually higher than advertised? Use a = 0.01.

MATLAB: An Introduction with Applications
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The nicotine content in cigarettes of a certain brand is normally distributed with mean (in
milligrams) u. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but
measurements on a random sample of 100 cigarettes of this brand gave a mean of = 1.53 and standard
1.
deviation s = 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content
is actually higher than advertised? Use a = 0.01.
(a) Set the appropriate hypotheses for the question.
(b) Find the value of the standardized test statistic.
(c) Find the rejection region.
(d) What is your decision?
(e) Find the p-value of this test.
Transcribed Image Text:The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) u. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of = 1.53 and standard 1. deviation s = 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actually higher than advertised? Use a = 0.01. (a) Set the appropriate hypotheses for the question. (b) Find the value of the standardized test statistic. (c) Find the rejection region. (d) What is your decision? (e) Find the p-value of this test.
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