Confidence 61774

What is the smallest number of men we would have to choose to estimate the mean height of men with an accuracy of +, - 0.5cm and 95% confidence, assuming a standard deviation of 8cm?

Correct answer:

n =  984

Step-by-step explanation:

α=0.05 β=1α/2=10.05/2=4039=0.975  z(β) z=1.96  σ=8 cm Δ=0.5 cm  n(Δσ z)2 n0=(Δσ z)2=(0.58 1.96)2=983.4496  n=n0=983.4496=984

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