Question

simple random sample from a population with a normal distribution of 99 body temperatures has x overbarequals98.20degrees Upper F and sequals0.63degrees Upper F. Construct a 95​% 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 1.50degrees Upper F​?

Answer 1

Explanation:

Let x be the normal body temperature

X is N(99, sigma)

Sample mean x bar = 98.2 and s = 0.63

Margin of error = Z critical * 0.63 = 1.95 *0.63 = 1.2285

It is safe since 1.5 <1.96 critical value of z at 95%