Transcript Introduction to Probability

Onur DOĞAN
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Suppose that a factory is producing wheels for
airbuses. The manufacturer claims that they
produce wheels with at least 3 meters diameter.
The quality control department of the buyer
firm investigate a sample from the daily
product. They controlled 36 wheels and found
that average diamater is 2,92 and s.d. is 0,18.
Test the claim at α=0.05 significance level
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According to a recent poll 53% of Americans
would vote for the incumbent president. If a
random sample of 100 people results in 45%
who would vote for the incumbent, test the
claim that the actual percentage is 53%. Use a
0.10 significance level.
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The national weather service says that the mean
daily high temperature for July in İzmir is 42°C.
A local weather service wants to test the claim of
42°C because it believes it is different. A sample
of mean daily high temperatures for October
over the past 31 years yields =44°F and s=3.8°C.
Test the claim at α=0.01 significance level.
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In a clinical study of an allergy drug, 108 of the
203 subjects reported experiencing significant
relief from their symptoms.
At the 0.01
significance level, test the claim that more than
half of all those using the drug experience
relief.