Answer
Lower Bound = 31.90
Upper Bound = 44.6
Work Step by Step
The normal probability plot and boxplot confirm that the data is normally distributed.
Here we have: n = 7, df = n-1 = 6, x̅ = 38.25 and s = 10
Confidence = 95%
α = 1 - 0.95 = 0.05, α/2 = 0.025, tα/2=2.201
$E=2.201 \times \frac{10}{\sqrt 12} = 6.354$
Lower Bound = x̅ - E = 38.25 - 6.3547 = 31.90
Upper Bound = x̅ + E = 38.25 + 6.3547 = 44.6
