Power of Test

#1
The population mean (μ0) for the concentration of magnesium in blood of tigers was taken as 8.62 mol/litre with the population standard deviation of observations as 1.3825. We ask what would be the probability of a one-tailed Z-test correctly rejecting the null hypothesis when comparing a mean of sample size = 4 drawn from a population with a mean μ1 of 9.59 μmol/litre.

Power = P[Z > 1.6449 − (9.59 − 8.72) / (1.3825 / √4)]

= P[Z > 0.3863 ]

= 0.3496
 
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