Question

A simple random sample from a population with a normal distribution of 103 body temperatures has x = 98.30°F and s = 0.61°F. Construct a 95​% confidence interval estimate of the standard deviation of body temperature of all healthy humans.

Answer 1

(98.2884 ; 98.3116)

Explanation:

Given :

x = 98.30°F and s = 0.61°F

Sample size. n = 103

Zcritical at 95% = 1.96

Using the confidence interval relation :

x ± margin of error

Margin of Error :

Zcritical * s/√n

1.96 * 0.61/√103 = 0.0116

Lower boundary = (98.30 - 0.0116) = 98.2884

Upper boundary = (98.30 + 0.0116) = 98.3116

(98.2884 ; 98.3116)