Body Temperature. Refer to Exercise 9.21. Explain what each of the following would mean.

a. Type I error

b. Type II error

c. Correct decision

Now suppose that the results of carrying out the hypothesis test lead to rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean body temperature of all healthy humans

d. is 98.6°F.

e. is not 98.6°F.

H.: The mean body temperature of a healthy human is 98.6°F

$H_0:\mu =98.6°F$

H: The mean body temperature of a healthy human differs from 98.6°F .

$H_a:\mu \#98.6°F$

According to the definition of the type I error; rejecting a null hypothesis, when it is true. A type one error would occur in fact $\mu =98.6°F$is true, that is The mean body temperature of a healthy human is 98.6°F, but the results of the sampling lead to conclude that The mean body temperature of a healthy human is 98.6°F ,hence the rejection of true null hypothesis.

When a null hypothesis (H) is false, according to the definition of the type II error, is not rejecting it. If 98.6° F is not rejected, but the sampling results fail to conclude that the mean body temperature of a healthy human is 98.6° F, a type II error occurs.

If neither the true null hypothesis nor the false null hypothesis is rejected, the decision is correct. In this case, the mean body temperature of a healthy human is 98.6° F., and the sampling results do not lead to rejection, so which is the correct decision; or the mean body temperature of a healthy human is different from 98.6° F, and the sampling results lead to rejection of the null hypothesis of 98.6° F.

The typical body temperature of a healthy human is 98.6° F, and the null hypothesis is rejected by the findings of a hypothesis test. We must classify the judgement as either an error or a correct one.

The average body temperature of a healthy human is 98.6 degrees Fahrenheit, according to the sampling results. We are rejecting the null hypothesis that a healthy human's average body temperature is 98.6° F. We've rejected the true null hypothesis, hence we've made a type I error.

The null hypothesis is rejected since the mean body temperature of a healthy human is not 98.6° F, as determined by the results of a hypothesis test. We must classify the judgement as either an error or a correct one.

We reject the null hypothesis of 98.6° F by finding that the mean body temperature of a healthy human is not 98.6° F as a sampling result. As a result, our decision is correct since we reject the false H.