Question

In: Statistics and Probability

1. Many health care workers believe the mean body temperature of healthy adults is 98.6 degrees...

1. Many health care workers believe the mean body temperature of healthy adults is 98.6 degrees Fahrenheit. Philip A. Mackowiak, a doctor at the University of Maryland Center for Vaccine Development, suspects this number might be incorrect. (Source: Journal of the American Medical Association (268) pp. 1578-1580.)

a) Determine the null and alternative hypotheses.

b) Sample data indicated that the null hypothesis should be rejected. State the conclusion of the researcher.

c) Suppose the mean body temperature of healthy adults is actually 98.6 degrees Fahrenheit. Was a Type I or Type II error committed?

Solutions

Expert Solution

a) Ho: = 98.6

Ha: 98.6

Null hypothesis states that the mean body temperature of healthy adults is 98.6 degrees Fahrenheit

Alternative hypothesis states that the mean body temperature of healthy adults is not equal to 98.6 degrees Fahrenheit

b) Null hypothesis rejected.

Conclusion : We have sufficient evidence to believe that the mean body temperature of healthy adults is not equal to 98.6 degrees Fahrenheit

c) The Null hypothesis was True but rejected, hence this is Type I error.

Accept/reject Ho True Ho False
Reject Ho Type I error correct
Accept Ho correct Type II error

orchestra answered 2 years ago
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