Consider the null hypothesis from Example 3that mean body temperature equals 98.6 F (H 0 : = 98.6 o F). a. What correct decisions

Consider the null hypothesis from Example 3—that mean body temperature equals 98.6 F

(H₀: μ = 98.6^oF).

a. What correct decisions are possible with this null hypothesis?

b. Explain the meaning of type I and type II errors in this case.

c. In Example 3, we rejected the null hypothesis. What is the probability that we made a type I error in doing so?

Data From Example 3:-

Consider the study in which University of Maryland researchers measured body temperatures in a sample of n = 106 healthy adults, finding a sample mean body temperature of x̄ = 98.20 F with a sample standard deviation of s = 0.620^oF. We will assume that the population standard deviation is the same as the sample standard deviation. Determine whether this sample provides enough evidence for rejecting the common belief that mean human body temperature is m = 98.6^oF.