MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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4. There is some reason to believe that the mean normal adult body temperature is not 98.6
degrees Fahrenheit. So what is the mean, if not 98.6? Here are some data to figure it out:
there are 52 healthy adults in the sample, and the average body temperature for these 52
people is 98.285° E, with standard deviation 0.6824° E. Also, body temperatures of healthy
adults are approximately normally distributed.
(a) Calculate a 95% confidence interval for the mean adult body temperature. Make sure
you use the correct value (using z or t). Is 98.6 included in the interval?
(b) Interpret the interval correctly.
(c) Suppose you measure your body temperature. (Assume you are a healthy adult.)
Can you calculate, at least approximately, the probability that your temperature lies
inside the interval you found in (a)? Explain.
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Transcribed Image Text:4. There is some reason to believe that the mean normal adult body temperature is not 98.6 degrees Fahrenheit. So what is the mean, if not 98.6? Here are some data to figure it out: there are 52 healthy adults in the sample, and the average body temperature for these 52 people is 98.285° E, with standard deviation 0.6824° E. Also, body temperatures of healthy adults are approximately normally distributed. (a) Calculate a 95% confidence interval for the mean adult body temperature. Make sure you use the correct value (using z or t). Is 98.6 included in the interval? (b) Interpret the interval correctly. (c) Suppose you measure your body temperature. (Assume you are a healthy adult.) Can you calculate, at least approximately, the probability that your temperature lies inside the interval you found in (a)? Explain.
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