Critical Values and Confidence
Levels
1. Do one of the following as
appropriate. a) Find the critical value z_(a/2), b) find the critical value
t_(a/2), c) State that neither the normal nor the t distribution applies.
Confidence level 95%; n=20; ? is unknown; population appears to be normally
distributed.
2. Given: The paired sample data
of the age and alcohol consumption of men result in a linear correlation
coefficient very close to 0.
Conclusion: Older men tend to
consume more alcohol than younger men.
Describe the error in the stated
conclusion.
3. Use the given information to
find the minimum sample size required to estimate an unknown population mean µ.
How many adults must be randomly
selected to estimate the mean FICO (credit rating) score of working adults in a
country? We want 90% confidence that the sample mean is within 3 points of the
population mean, and the population standard deviation is 67?
The minimum sample size required
is___adults.
4. In a study designed to the test
the effectiveness of magnets for treating back pain, 40 patients were given a
treatment with magnets and also a sham treatment without magnets. Pain was
measured using a scale from 0(no pain) to 100 (extreme pain). After given the
magnets treatments, the 40 patients had pain scores with a mean of 6.0 and a
standard deviation of 2.6. After being given the sham treatments the 40
patients had pain scores with a mean of 7.8 and a standard deviation of 2.2.
a) Construct the 90% confidence
interval estimate of the mean pain score for patients given magnet treatment.
What is the confidence interval
estimate of the population mean µ?
___< µ<____
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