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Chapter 8: Q2 (page 371)

Estimates and Hypothesis Tests Data Set 3 “Body Temperatures” in Appendix B includes sample body temperatures. We could use methods of Chapter 7 for making an estimate, or we could use those values to test the common belief that the mean body temperature is 98.6°F. What is the difference between estimating and hypothesis testing?

Short Answer

Expert verified

The difference between interval estimation and hypothesis test is that the former involves estimating the value of the population mean body temperature in the form of an interval while the latter deals with testing the difference between the sample body temperature and the value of 98.6 degrees Fahrenheit.

Step by step solution

01

Given information

It is given that the value of the mean body temperature is equal to 98.6 degrees Fahrenheit.

02

Interval estimate vs. Hypothesis test

An interval estimate, obtained using the sample values, gives a range of values within which the population parameter is likely to fall.

On the other hand, hypothesis testing is used to test if the estimated value of the population parameter from the sample has a value that is different from a given (or claimed) value.

Here, based on a set of sample values, it is needed to test whether the mean body temperature is equal to 98.6 degrees of Fahrenheit.

Thus, testing the difference between the sample mean body temperature and the hypothesized value of 98.6 degrees Fahrenheit will require the use of hypothesis testing and not interval estimation.

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