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 ?

Question

Mathematics

Diana Villarreal

25 December, 04:38

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 ?

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Sydney Pierce · Answer 1

Step-by-step 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%