Answer to Question #315272 in Statistics and Probability for Ali de austria

Question

Read and analyze the following situations and supply the values of the following variables (if

there is any). On the third column, write known on the space provided if the situation gives

or can compute the value of the variance, otherwise write unknown. Identify also the formula

to be used to estimate the standard error of the mean by writing the symbols of, when the

population variance is known and sawhen the population variance is unknown,

Situation:

Consider a population consisting of 1, 2, 3, 4, 5, 8,

9, and 11. Samples of size 3 are drawn from this

population.

•Given: N=

n=

•Answer:

•Standard Error Formula:

Answer 1

N=8

n=3

$\mu=(1+2+3+4+5+8+9+11)/8=5.375$

$\sigma=\sqrt{\frac{\sum(\mu-x)^2}{n-1}}=\sqrt{\frac{\sum(5.375-1)^2+(5.375-2)^2+(5.375-3)^2+(5.375-4)^2+(5.375-5)^2+(5.375-8)^2+(5.375-9)^2+(5.375-11)^2}{8-1}}=\sqrt{\frac{19.14+11.39+5.64+1.89+0.14+6.89+13.14+31.64}{7}}=3.58$

$SE=\sigma/\sqrt{n}=3.58/\sqrt{8}=1.27$