Answer to Question #315354 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 or, when the

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

Situation:

A population composed of 11 items whose

N=

measurements are 12, 7, 9,11,8, 20, 23, 18, 13, 22.

and 10. Samples of 5 items are drawn at random

without replacement.

Given: N=

n=

Answer:

Standard Error Formula:

Answer 1

N=11

n=5

$\mu=(12+7+9+11+8+20+23+18+13+22+10)/11=13.9$

$SE=\frac{s}{\sqrt{N}}$

$s=\sqrt{\frac{\sum(\mu-x)^2}{n-1}}=\sqrt{\frac{(3.61+47.61+24.01+8.41+34.81+37.21+82.81+16.81+0.81+65.61+15.21)}{10}}=5.8$

$SE=\frac{5.8}{\sqrt{11}}=1.75$