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Power of statistical test of a mean depends on

I. Particular HA that is assumed true if H0 is false.
II. Value of α chosen
III. Size of sample
IV. Variability of the population under study.
Codes :

  • A.I & II
  • B.I, III & IV
  • C.II & III
  • D.All of the above

Answer: D

The power of a statistical test of a mean depends on all four factors. It depends on the particular alternative hypothesis assumed to be true when the null is false, because a larger true difference is easier to detect, on the significance level alpha chosen, since a larger alpha raises power, on the size of the sample, because a larger sample reduces the standard error, and on the variability of the population, since less variability makes the test more sensitive.

So the code all of the above is right and the codes that leave out any factor are wrong.

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