Respuesta :
The point estimate of the population standard deviation is 2.82
Since the given simple random sample is 6 8 10 8 10 6. considering the data of the sample be denoted by X. the mean of the sample is
X'=1/n ∑X, where n is the number of data points
=6+ 8 +10+ 8+ 10+ 6/ 6 = 6
Since the formula for The point estimate of the population standard deviation is:
s= [tex]\sqrt{}[/tex](1/(n-1)* ∑(X−X')^2, where X' is the sample mean and n is the
s=[tex]\sqrt{}[/tex]( 1/(6-1)*{(6-6)^2+(8-6)^2+(10-6)^2+(8-6)^2+(10-6)^2)
= [tex]\sqrt{}[/tex](1/5 *(4+16+4+16)
= [tex]\sqrt{}[/tex](1/5 *(40))
=[tex]\sqrt{}[/tex](8)
=1.41*2
=2.82
To know more about standard deviation refer to the link https://brainly.com/question/16555520?referrer=searchResults.
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