uppose that a researcher developed a drug that she claims increases extroversion. A sample of n = 4 participants has a sample mean of M = 115 on a personality assessment after taking the drug. The personality test has a population mean of μ = 100 and σ = 30. Is the sample mean an especially unlikely result based on the population parameters for the personality test? What if the researcher increased the sample to n = 25 and observes the same sample mean of M = 115?

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Chapter1: Combinatorial Analysis
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Suppose that a researcher developed a drug that she claims increases extroversion. A sample of n = 4 participants has a sample mean of M = 115 on a personality assessment after taking the drug. The personality test has a population mean of μ = 100 and σ = 30. Is the sample mean an especially unlikely result based on the population parameters for the personality test? What if the researcher increased the sample to n = 25 and observes the same sample mean of M = 115?
For M = 115 and n = 4 scores:
z =
 
, which indicates that the sample mean     especially unlikely.
 
For M = 115 and n = 25 scores:
z =
 
, which indicates that the sample mean     especially unlikely.
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