Question

A population contains six members, with values 1,1,2,3,5,10. A random sample of size 3 is drawn without replacement. Estimate the population mean.

Answer 1

So, the population mean is 3.66.

Explanation:

We will calculate the average value by summing all the values and dividing by the size of sample.

We have population contains six members, with values 1,1,2,3,5,10.

Therefore, n=6.

We use the formula to calculate the population mean:

`\mu=(x_1+...+x_n)/(n)\\\\\mu=(1+1+2+3+5+10)/(6)\\\\\mu=(22)/(6)\\\\\mu=3.66`

So, the population mean is 3.66.