Question

it has long been stated that the mean temperature of humans is 98.6°f. however, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°f. they measured the temperatures of 56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. the sample data resulted in a sample mean of 98.3°f and a sample standard deviation of 1°f. use the p - value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°f at the α = 0.01 level of significance

state the hypotheses.

h₀: ▼ ▼ 98.6°f
h₁: ▼ ▼ 98.6°f

μ
σ
p

Explanation:

Step1: Define null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of no - change or equality. The alternative hypothesis \(H_1\) is the claim we are trying to find evidence for.
Since we are testing about the population mean \(\mu\) (temperature of humans), and the claim is that the mean temperature of humans is less than \(98.6^{\circ}F\).
The null hypothesis \(H_0:\mu = 98.6\) (the traditional mean temperature) and the alternative hypothesis \(H_1:\mu<98.6\) (the claim that the mean is less than the traditional value)

Answer:

\(H_0:\mu = 98.6^{\circ}F\) and \(H_1:\mu<98.6^{\circ}F\)