Question

Lecture 18: Problem 2 Problem List Next Previous (1 point) A sample of size n = 36 drawn from a population with a = 7.1 has i = 17.3. Find a 96% confidence interval for the population mean by completing each of the following in turn. Round all your answers to the nearest hundredth. E = Confidence interval is ( . ) E-2.42583333333333 Note: You can earn partial credit on this problem. Note: You can get a new version of this problem after the due date.

Answer 1

$\bar{X}=17.3$

$c=0.06$

$Z_{c}=Z_{0.04/2}=2.05$ ; From normal probability integral table

$E=Z_{c}\frac{\sigma}{\sqrt{n}}=2.05*\frac{7.1}{\sqrt{36}}=2.426$

Confidence interval is ,

$\bar{X}\pm Z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

$\bar{X}\pm E$

$17.3\pm 2.426$