Question

The following data show the body temperatures (in degrees Fahrenheit) from a random sample of 12...

The following data show the body temperatures (in degrees Fahrenheit) from a random sample of 12 independent healthy people in the United States.

98.5 98.2 99.1 96.6 98.1 98.7 97.5 99.0 97.4 98.3 97.8 98.2

  1. What would be the estimate of the average body temperature of healthy people in the United States.

  2. Find a 95% confidence interval for the average body temperature of healthy people in the United States.

  3. Explain carefully the interval you found in part (b) means.

Homework Answers

Answer #1

sample mean, xbar = 98.12
sample standard deviation, s = 0.712
sample size, n = 12
degrees of freedom, df = n - 1 = 11

Given CI level is 95%, hence α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025, tc = t(α/2, df) = 2.201

CI = (xbar - tc * s/sqrt(n) , xbar + tc * s/sqrt(n))
CI = (98.12 - 2.201 * 0.712/sqrt(12) , 98.12 + 2.201 * 0.712/sqrt(12))
CI = (97.67 , 98.57)

One can be 95% confident that the mean body temperature of healthy people in US is between 97.67 and 98.57

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