Answer
Jack’s distribution: $σ_{x ̅}=5.77$
Diane’s distribution: $σ_{x ̅}=1.83$
Work Step by Step
Jack’s distribution: $σ_{x ̅}=\frac{σ}{\sqrt n}=\frac{10}{\sqrt {3}}=5.77$
Diane’s distribution: $σ_{x ̅}=\frac{σ}{\sqrt n}=\frac{10}{\sqrt {30}}=1.83$