EJERCICIO 33

Description

Exercise 8-2 from Montgomery – Runger. Third Edition. Page 256.

Exercise 8-2 from Montgomery – Runger. Fifth Edition. Page 260.

Exercise 8-2 from Montgomery – Runger. Sixth Edition. Page 281.

Para una población normal con varianza conocida σ²:

a) ¿Qué valor de z_α/2 en la ecuación \( \displaystyle \overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\leq\mu\leq\overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) da un 98% de confianza?

b) ¿Qué valor de z_α/2 en la ecuación \( \displaystyle \overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\leq\mu\leq\overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) da un 80% de confianza?

c) ¿Qué valor de z_α/2 en la ecuación \( \displaystyle \overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\leq\mu\leq\overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) da un 75% de confianza?

For a normal population with known variance σ²:

a) What value of z_α/2 in Equation \( \displaystyle \overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\leq\mu\leq\overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) gives 98% confidence?

b) What value of z_α/2 in Equation \( \displaystyle \overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\leq\mu\leq\overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) gives 80% confidence?

c) What value of z_α/2 in Equation \( \displaystyle \overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\leq\mu\leq\overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) gives 75% confidence?