Question

A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200 people and found it to be 10 ± 4. Therefore, we may conclude:_______

Answer 1

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Explanation:

Explanation:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

`(x^(-) -Z_(\alpha ) (S.D)/(√(n) ) , x^(-) +Z_(\alpha ) (S.D)/(√(n) ) )`

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

`(x^(-) -Z_(\alpha ) (S.D)/(√(n) ) , x^(-) +Z_(\alpha ) (S.D)/(√(n) ) )` = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

( 10 ±4 )

( 10 -4 , 10+4)

( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )