Suppose You Hypothesized That the Mean of X Is 7

question 21

Multiple Choice

Suppose you hypothesized that the mean of X is 7. You then collect a sample of observations of X. Using statistical theory, you know that, if the mean of X is 7, the probability that your sample average is above 9 or below 5 is 0.05. If you observe a sample mean of 10:

• A) You make the inductive argument that the probability that your sample average is above 9 or below 5 is not 0.05. The strength of this argument is 5%.
• B) You make the deductive argument that the probability that your sample average is above 9 or below 5 is not 0.05. The strength of this argument is 95%.
• C) You make the inductive argument that the probability that your sample average is above 9 or below 5 is 0.05. The strength of this argument is 95%.
• D) None of the answers is correct.

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