A simple random sample is taken from a population and yields the following data for a variable of the population:

find a point estimate for the population standard deviation (i.e., the standard deviation of the variable).

Short Answer

Expert verified

The point estimate for the population standard deviation is6.56

Step by step solution

01

Step 1:Given Information 

02

Step 2:formulae used

The formula for sample standard deviation is given below:

s=xi-x¯2n-1
03

Step 3:Calculation 

Obtaining the sample standard deviation s

Calculating

width="79">xi-x2

Now,substituting 430 for xi-x2and 11 for nin the samples of ariance formulae

s=43011-1=43010=43=6.56

The point estimate for the population standard deviation is6.56

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