Answer: the data set has a range of 100
Step-by-step explanation: it has a set of 100
15% = 0.15
0.15 • 50 = 7.5
50 + 7.5 = 57.5
15a - 54 = -9. Add 54 to each side.
15a = 45. Divide each side by 15.
a = 3
Answer:
Power of test = 0.1
Step-by-step explanation:
The value of power of function is called Power of test. The Power function of testing hypothesis would be defined as the probability of rejecting H₀ while H₀ is false.
Power of test is denoted as 1-β which is expressed as P(x ∈ W I Ha)
in our case P(x ≥ 0, Hₐ)
Under Hₐ μ = 13.8 then we know that, Z = {x - E(x)}/(σ/√n)
where x = 13.88, σ, 0.25, n = 16, Hₐ μ= 13.8 = E(x) [x.....Normal distribution]
Z = (13.88 - 13.8)/((0.25)/(√16)) = 1.28
Therefore 1-β = P(z ≥ 1.28) = 0.5 - 0.3997 = 0.1, (from z table values)
hence, the power of our test when μ = 13.8 is 0.1
