8.29 Average temperature in Florida According to the National Centers for Environmental Information, the mean March monthly average temperature in Florida, for the years 1895 to 2016 (a sample of 122 observations), is 64.264°F with a standard deviation of 3.109°F (Source: www.ncdc.noaa.gov).

a. What is the point estimate of the monthly average temperature for March in Florida?

b. Find the standard error of the sample mean.

c. The 95% confidence interval is (63.707, 64.821).

Interpret it.

d. Is it plausible that the population mean of the monthly average temperature for March in Florida could be estimated to m = 63°F? Explain.