The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall...

The Weather Underground reported that the mean amount of summer rainfall for
the northeastern US is at least 11.52 inches. Ten cities in the northeast are
randomly selected and the mean rainfall amount is calculated to be 7.42 inches
with a standard deviation of 1.3 inches. At the α = 0.05 level, can it be
concluded that the mean rainfall was below the reported average?
What if α = 0.01? Assume the amount of summer rainfall follows a normal
distribution.