A simple random sample from a population with a normal distribution of 102 body temperatures has x overbarequals98.40degrees Upper F and sequals0.66degrees Upper F. Construct an 80% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 1.80degrees Upper F?

It is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F

Step-by-step explanation:

The given information are;

The sample size, n = 102

The sample mean = 98.4°F

The sample standard deviation = 0.66°F

α = 0.2, ∴ α/2 = 0.1

= = 83.267

= = 119.589,

Which gives;

0.607 < σ <0.727

Therefore, it is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F.