Answer
Approximately normal distribution with $μ_{x̄} = 80$ and $σ_{x̄} = 2$
Work Step by Step
The distribution is approximately normal (according to the central limit theorem, because the sample size is greater than 30) with $μ_{x̄} = μ = 80$ and
$σ_{x̄} = σ / \sqrt n$
$= 14 / \sqrt 49$
= 2
