Answer:
1. We can estimate with 99% confidence that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.
Explanation:
With the data that, we have, we can estimate the 99% confidene interval for the true population mean.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so

Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 58 - 4.12 = 53.88 inches.
The upper end of the interval is the sample mean added to M. So it is 58 + 4.12 = 62.12 inches
So the correct answer is:
1. We can estimate with 99% confidence that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.