Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E. c=0.98​, σ=8.7​, and E=

Respuesta :

Answer:

The sample size n will be "52".

Step-by-step explanation:

The given values are:

c = 0.98​

σ = 8.7

Margin of error

E = 2

[tex]Z_{\frac{\alpha}{2} }=Z_{\frac{0.1}{2} }=1.65[/tex]

For 90% confidence level:

⇒  [tex]n=[\frac{Z_{\frac{\alpha}{2}}\times \sigma}{E} ]^2[/tex]

⇒     [tex]=[\frac{1.65\times 8.7}{2} ]^2[/tex]

⇒     [tex]=51.5165[/tex]

i.e.,

⇒  [tex]n=52[/tex]