Human body temperatures are normally distributed with a mean of 98.20°f and a standard deviation of 0.62of. find the temperature that separates the top 7% from the bottom 93%. round your answer to the nearest hundredth.

Find the probability area bound by 93% or 0.93.

0.5 lies to the left of the mean value.

0.93-0.5=0.43 lies to the right of mean.

Find the corresponding z value for 0.43.

It is 1.48.

Use this value to determine the required x value.

You have to use the formula -

z = x-μ σ

Solve it for x

x=z⋅σ+μ

Where;

x=?

z=1.48

σ=0.62

μ=98.20

Now put these values in the formula;

x = (1.48⋅0.62) + 98.20=0.9176+98.20=99.1176 = 99.12

Temperature that separates top 7% from the bottom 93% is 99.12.