Meaningful difference in population means


Suppose that ¯1 X= 125.2 and ¯X2 = 125.4 are the mean systolic blood pressures for two samples of workers from different plants in the same industry. Suppose, further, that a test of H0: µ1 = µ2 using these samples is rejected at a = 0.001. Which of the following conclusions is most reasonable

a. There is a (clinically) meaningful difference in population means but not a statistically significant difference.

b. The difference in population mean s is both statistically and meaningfully significant.

c. There is a statistically significant difference but not a meaningfully significant difference in population means.

d. There is neither a statistically significant nor a meaningfully significant difference in population means.

e. The sample sizes used must have been quite small.

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Basic Statistics: Meaningful difference in population means
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