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Two Population Hypothesis

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Could you please give me a example scenario and perform a hypothetical 2 population hypothesis test. Please state the hypotheses, the decision and the meaning of the decision.

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Solution Summary

This solution provides an example scenario and performs a hypothetical two population hypothesis test, stating the hypotheses, the decision and the meaning of the decision.

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Example 2 Normally Distributed Populations

This is an example of a situation with 2 normally distributed populations (task performed with thumbs vs. without thumbs) ideally suited for the t-test.
In this experiment we want to find if having thumbs significantly affects the efficiency of performing a task. The null hypothesis (Ho) and alternative hypothesis (Ha) that we are testing are:
Ho: There will be no difference in the time to perform the task without thumbs than when using thumbs.
Ha: It will take longer to perform the task without thumbs than when using thumbs.

This task is performed using the hands, fingers, and thumbs. If we tie the thumbs to the index fingers using duct tape, and try to perform the same task, we should be able to determine how effective using the thumbs was when compared to using both the fingers and thumbs.
The task in this example is tying a long string in a bow at waist level. The task started ...

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