Thunderstorm Speeds:
A meteorologist who sampled 5 thunderstorms found that the average speed at which they traveled across a certain state was 16 miles per hour. The standard deviation of the sample was 2.8 miles per hour.
a. Calculate the probability that the average speed of thunderstorms is less than 18 miles per hour.
b. Find the standard error of the sample mean.
c. Determine the z-score for an average speed of 14 miles per hour.
d. Calculate the 95% confidence interval for the average speed.