I am having trouble with PART B of this problem.
Here is the whole problem:
Assume body temperatures are normally distributed with mean of 98.2 and a standard dev. of 0.62
Part A) Assuming a hospital defines a fever as 100 or over, determine the percentage of a normal healthy person considered to have a fever using Z table
Answer: 100-98.2/.62=2.90=.19% rounded.
*Part B) I have the procedure right but I can't get the right answer. z=x-u/o Determine the minimum fever if doctors at the hospital want only 3.0% of healthy persons to be diagnosed as having a fever. Use closest z score. Answer is 99.37.
Another part B, different problem. How does 100.1-98.2/.62=.11 in part A and part B = 99.55 wanting 1.5% of healthy to be diagnosed?
A different B: 99.2-98.2/.62=5.37 for part A, and B wanting 2.5% = 99.42.?? I have been taking 1-the %s (3.0%, 2.5% et cetera as above) but I'm still not getting the right answers.
The expert examines normal distribution mean and standard deviation functions. The procedures for diagnosing a person with a fever is determined.