Question

It has long been reported that human body temperature follows a normal distribution with a mean of 98.6 degrees Fahrenheit. There is some debate in the medical field, however, about this long-held standard of human body temperature. Specifically, some medical researchers believe that the average human body temperature is actually greater than 98.6 degrees Fahrenheit. To test their theory, these researchers measured the body temperature of a random sample of 180 healthy individuals. The researchers then recorded the mean and standard deviation for the sample of 180 individuals. After the researchers collected their data, they entered the data into a statistical software package and ran the appropriate statistical test which resulted in a test statistic of 3.64 with a p-value of .018. The researchers would conclude that:

Answer 1

Solution :

The normal body temperature of any human body is considered to be 98.6$^\circ \ F$. But there is a constant debate about the body temperature of a long held standard to the body temperature.

It is given that :

Null hypothesis and alternate hypothesis :

$H_0 : \mu = 98.6$

And $H_A : \mu > 98.6$

n is given as = 180

Test statistics = 3.64

Prove = 0.018 < α = 0.05 (let reject null hypothesis for α = 0.05 )

Therefore, their results are statistically significant and the result is unlikely due to chance alone.