Example 1 – Nicotine Content

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AP Statistics
Name:___________________________ Date: _____________
Hypothesis Test Checklist
Example 1:
Nicotine Content
The nicotine content in milligrams (mg) in cigarettes of a certain brand is normally distributed
with mean µ and standard deviation 𝜎=0.1 mg. The brand advertises that the mean nicotine
content of its cigarettes is 1.5mg, but measurements on a random sample of 100 cigarettes of
this brand gave a mean of 𝑋̅=1.53 mg. Is this evidence that the mean nicotine content is
actually higher than advertised? To answer this question, test this hypothesis at the 5%
significance level.
Parameter of
Interest
Hypothesis
Null Hypothesis: (in symbols)
Null Hypothesis: (in words)
Alternate Hypothesis: (in symbols)
Alternate Hypothesis: (in words)
Assumptions/
State AND Check:
Conditions/
Requirements
Name of Test
Test Statistic
Sketch/Picture
Sketch of the sampling distribution of the sample statistic indicating the mean and the value of
the statistic:
Formula
Without Numbers:
Formula
With Numbers:
Obtain p-value
(state alpha)
Make a Decision
State
Conclusion/
Interpretation in
Context
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