Botany A botanist is studying the effects of a drought on the size of acorns produced by the oak trees. A random sample of 50 acorns reveals a mean diameter of 16.2 millimeters and a standard deviation of 1.4 millimeters.
a. Find the standard error of the mean.
b. What is the interval about the sample mean that has a 5% level of confidence?
c. Find the interval about the sample mean that gives a 99% chance that the true mean lies within the interval.
d. Find the interval about the sample mean such that the probability is 0.80 that the true mean lies within the interval.