Statistics

Question

compute 95% confidence interval to estimate for the population meanμ, if the sample mean =27.4, standard deviation δ=16 and n=100

Answer 1

 

Hi Logan,

 

From the formula

 

     Sample Mean - zσ/√n < μ < Sample Mean + zσ/√n

 

where z = 1.96 in case of the confidence level of 95%,

 

     27.4 - 1.96 · 16 / √100 < μ < 27.4 + 1.96 · 16 / √100

 

     27.4 - 3.136 < μ < 27.4 + 3.136

 

     ∴ 24.3 < μ < 30.5