Question

A population of peer rating of physical attractiveness is approximately normal with μ = 5.2 and σ= 1.6. A random sample of 4 ratings is selected from this population.

2. 5% of the samples have means as low or lower than ____.

Answer 1

Given that,

= / n = 1.6 / 4 = 0.8

P(Z < -1.645) = 0.05

z = -1.645

= z * + = -1.645 * 0.8 + 5.2 = 3.884

5% of the samples have means as low or lower than 3.884