Cholesterol levels in the American adult population have app

Cholesterol levels in the American adult population have approximately a bell shaped distribution with a mean 162 and standard deviation 8.7. A \"healthy\" level is one that falls within the range of 95% of all cholesterol levels. What is the largest \"healthy\" cholesterol?

Solution

the largest helathy colostrol is upper limit of 955 confidence interval

= mean + Z_(0.025) * SD/SQRT(n)

where n = total sample size

SD = standard deviation

Z_(0.025) = 1.95 (from the standard normal table)

highest valyue of healthy cholesterol= 162 + 1.96*8.7/ squar root(n)

Note: value of n is missing here