## Answers

µ = 114.8, σ = 13.1, n = 36

N = 300

σₓ = (σ/√n)*√((N-n)/(N-1)) = (13.1/√36)*√((300-36)/(300-1)) = 2.0516

P(X < 110) =

= P( (X-µ)/σ < (110-114.8)/2.0516 )

= P(z < -2.3396)

Using excel function:

= NORM.S.DIST(-2.3396, 1)

= **0.0096**

Answer: a) 0.0096

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