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Two different simple random samples are drawn from two different populations. The first sample consists of 20 people, with 10 having a common attribute. The second sample consists of 2000 people with 1404 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1 - p2.
The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed.
It is estimated that 2% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 95% accurate. What is the probability that an athlete who tests positive is actually a user?
There are three versions of a board game released - version 1, version 2, and version 3. The versions are distributed equally and evenly among all potential sellers of board games.
How many participants need to be enrolled in each group to have a 90% chance of detecting a significant difference using a two sided test with α =0.05 if compliance is perfect?
What are some critical decisions involved in selecting an appropriate measurment scale? How might these decisions influence the research design?
Conduct a hypothesis test to determine if the average cardiac outputs measured by the two evaluators differ. Use a significance level of 0.02.
Use this information to set up a 90 percent confidence interval for the proportion, p of all US workers who play hooky.
Explain why it might be important to look at cancer incidence that is age-adjusted rather than just cancer incidence. Perform simple linear regression on these data and report your finding.
If is the proportion of the next 100 shoppers that buy a packet of the crackers after tasting a free sample, then the probability that fewer than 30% buy a packet after tasting a free sample is approximately.
Describe a scenario related to the final project in which you would use repeated-measures ANOVA. Describe a scenario related to the final project in which you would use MANOVA.
Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.
For a random sample of 50 batteries, what is the probability that the sample mean will be less than 27.5 hours?
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