Question

In: Statistics and Probability

Body temperatures were recorded on 25 randomly selected healthy humans. The sample mean was 98.20 F...

Body temperatures were recorded on 25 randomly selected healthy humans. The sample mean was 98.20 F and the sample deviation was .68 F. a. Using the sample statistics, construct a 99% confidence interval estimate of the mean body temperature of all healthy humans.

Expert Solution

Solution:

Given:

X : Body temperatures of healthy humans.

Sample size = n = 25

Sample mean =

Sample Standard Deviation = s = 0.68

We have to find 99% confidence interval estimate of the mean body temperature of all healthy humans.

Formula:

where

Find t_c value for c = 99% confidence level,

df = n - 1 = 25 - 1 = 24

Two tail area = 1 - c = 1 - 0.99 = 0.01

t_c = 2.797

Thus

Thus a 99% confidence interval estimate of the mean body temperature of all healthy humans is:

orchestra answered 2 years ago

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