Ameteorologist who sampled 13 randomly selected thunderstorms found that the average speed at which they traveled across a certain state was 1.7 miles per hour. the standard deviation of the sample was 1.7 mph. find the 99% confidence interval of the mean. do not round the t value from the table

The 99% confidence interval for a sample of size n, with sample mean of and a sample standard deviation of s is given by



where k is the degree of freedom, given by sample size - 1 (n - 1) = 13 - 1 = 12.

From the t-table, .

Thus, given that a meteorologist who sampled 13 randomly selected thunderstorms found that the average speed at which they traveled across a certain state was 15.0 miles per hour. the standard deviation of the sample was 1.7 mph.

The 99% confidence interval of the mean is given by