Answer:
[tex]99.1[/tex]oF is the cutoff for the highest 10% of human body temperatures
Explanation:
The confidence interval for this problem is [tex]90[/tex] %
We will first evaluate the z-value for 90% confidence interval considering it one tailed.
Z from the statics table is equal to [tex]1.28\\[/tex]
Formula for z - value
[tex]z= \frac{x-u}{\alpha }[/tex]
where
x represents the required cut off value
u represents the mean value
and α represents the standard deviation
Substituting the values in above equation, we get -
[tex]1.28 = \frac{x-98.2}{0.73} \\0.9344= x-98.2\\x= 0.9344+98.2\\x=99.1\\[/tex]
Hence,
[tex]99.1[/tex]oF is the cutoff for the highest 10% of human body temperatures
