Question

uppose that a category of world class runners are known to run a marathon (26 miles) in an average of 143 minutes with a standard deviation of 12 minutes. Consider 49 of the races.

Let
X
= the average times of the 49 races.

(a) Find the median of the average running times. ( That is, find the median of the sampling distribution of the average running times.)

Correct: Your answer is correct.
min

(b) Find the slowest 10 percent of the average running times. ( Round the answer to the second decimal place.)
min

(c) Find the fastest 10 percent of the average running times. ( Round the answer to the second decimal place.)
min