The range of the square footage values for the given mean , standard deviation and 95% confidence interval is equal to (1257.26 , 508.74).
As given in the question,
Sample size 'n' = 2
Sample mean '[tex]\bar{x}[/tex]' = 883 sq ft
Standard deviation 'σ' = 270 sq ft
95% confidence interval.
95% confidence interval = 1 - 0.95
= 0.05
Critical value for 95% is [tex]Z_{0.05}[/tex] = 1.96
Population mean for the given confidence interval is given by :
= [tex]\bar{x}[/tex] ± [tex]Z_{0.05}[/tex] (σ / √n)
= 883 ± 1.96 ( 270 / √2)
= 883 ± 374.26
= ( 1257.26 , 508.74 )
Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).
Learn more about confidence interval here
brainly.com/question/24131141
#SPJ4
