Answer
We do not have enough evidence to support the resident’s skepticism.
Work Step by Step
Here we have: $H_{o}$: μ = 8, $H_{a}$: μ < 8, n = 49, x̅ = 7.34, s = 3.2 and α = 0.01
Using the Classical approach:
Using Table VI, we have: t = 2.407
$σ_{ x̅} = \frac{s}{\sqrt n} = \frac{3.2}{\sqrt 49} = 0.457$
$t = \frac{7.34 - 8}{0.457} = -1.44$
Since, -1.44 > -2.407, we fail to reject the Null hypothesis.
