Question

scores o-omaly istb ted with a mean o, 100 and a standard devation of 15. Assume hed mary samples of size n av taken toma.ge popition ofpeople and the mean เฉ so re scoputedbr earn samp a it the sample size is n 64, Sind the mean and standard deviation of the distribution of sample means The mesn of the distibution of sample means is 100 (Type an intager or decimal rounded to e eres enth as needed The mean of the dissibution of sample means i

Answer 1

$E(\overline{X}) = \mu = 100$

$sd(\overline{X}) = \frac{\sigma }{\sqrt{n}}$

a)

mean = 100

sd(Xbar) = 15/sqrt(64)=1.875

b)

here n = 169 {change according if it is not the case}

mean = 100

sd(Xbar) = 15/sqrt(169) = 1.1538