Answer: 1.30 in.
Step-by-step explanation:
Let x denotes the height of cabinets.
We are given that ,
In a sample of 66 cabinets, the average height was found to be 36.5 in. with a variance of 1.7.
i.e. sample mean = [tex]\overline{x}=36.5\ in.[/tex]
Sample variance =[tex]s^2=1.7\ in[/tex].
Since standard deviation is the square root of variance.
i.e. Sample standard deviation : [tex]s=\sqrt{s^2}=\sqrt{1.7}\\\\=1.30384048104\approx1.30\ in[/tex]
Since the sample standard deviation(s) is the best point-estimate of the population standard deviation[tex](\sigma)[/tex] .
Then, a point estimate for the population standard deviation[tex](\sigma)[/tex] of the height of the cabinets.= 1.30 in.
