As part of a project to develop better lawn fertilizers, a
research chemist wanted to determine the mean weekly growth rate of
Kentucky bluegrass, a common type of grass. A random sample
of 37 blades of grass was measured, and the amount of growth in one
week was recorded. The sample mean weekly growth was found to
be 0.52 inches. Assuming that the population standard
deviation is 0.15 inches and that the weekly growth is
normally distributed, estimate with 99% confidence the mean weekly
growth of Kentucky bluegrass.
Round to three decimal places.
Complete the following sentence to provide an interpretation of
the confidence interval in the context of the problem:
We are 99% confident that the
population, statistic,
sample
mean, proportion,
standard deviation, weekly growth of
all, 37
blades of Kentucky bluegrass is between
____ and _____ inches.