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.

Question

Quizplus · Accepted Answer

The observation of a sample mean of 10, when the hypothesis suggests a mean of 7 with a 5% probability of the sample mean being above 9 or below 5, does not directly allow for the calculation of the strength of an argument as described in options A, B, or C. The observation suggests that the hypothesis might be incorrect, but it does not directly translate into the probabilities or argument strengths as described in the options.

Suppose You Hypothesized That the Mean of X Is 7