Question
Researchers performed a study to address the question of whether the mean body temperature of humans...
Researchers performed a study to address the question of whether the mean body temperature of humans is 98.6 degrees °F.
Among other data, the researchers obtained the body temperatures of 40 healthy humans, as provided in the accompanying data table. 97.9, 97.5, 99.0, 98.1, 98.7, 98.8, 97.6, 98.5, 98.5, 98.8, 98.0, 98.2, 97.9, 98.0, 96.8, 97.4, 98.1, 98.0, 98.0, 98.7, 98.6, 98.8, 98.1, 97.0, 97.1, 97.2, 98.3, 97.7, 99.2, 97.8, 97.6, 97.8, 97.3, 98.0, 98.6, 98.5, 98.2, 97.0, 98.4, 98.8.
Find and interpret a 95% confidence interval for the mean body temperature of all healthy humans. Assume that σ=0.58 degrees°F.
The 95% confidence interval is from __ degrees°F to __ degrees°F. (Round to two decimal places as needed.)
Homework Answers
Answer #1
Given that, sample size (n) = 40
Sample mean is,
Population standard deviation 
= 0.58
A 95% confidence level has significance level of 0.05 and
critical value is, 
The 95% confidence interval for population mean is,
Therefore, The 95% confidence interval is from 97.88 degrees°F to 98.24 degrees°F.
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