Answer
Since we fail to reject the Null Hypothesis, there is insufficient evidence that the new system is effective.
Work Step by Step
Here we have: $H_{o}$: μ = 84.3, $H_{a}$: μ < 84.3, n = 10, x̅ = 78, s = 15.205 and α = 0.1
Using the Classical approach:
Using Table VI, we have: t = 1.383
$σ_{ x̅} = \frac{s}{\sqrt n} = \frac{15.205}{\sqrt 10} = 4.808$
$t = \frac{78 - 84.3}{4.808} = -1.31$
Since, -1.31 > -1.383, we fail to reject the Null hypothesis.
