Based on the alternative hypothesis, the value of μ that will have the greatest test power is μ = 7.
The alternative hypothesis is that Hₐ : μ < 14.
For the alternative hypothesis to be right, μ will have to be less than 1.4.
μ will also give a greater test power the lower it is below 14. From the options therefore, μ with the greatest test power would be 7.
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