please help with this 4,5

4.) Researchers estimated the mean length of time that the average American spends eating lunch each day. The group takes a random sample of 30 adults and obtains the times listed below. The research council assumes that the population standard deviation is o = 6.5. 29 12 12 21 23 32 24 26 33 16 24 28 28 28 31 21 18 24 27 29 27 13 32 20 17 13 13 21 17 27 5.) Now with the information giving in Problem #4 find the probability that the average American takes between 19 and 24 minutes to eat lunch. (Hint: This is not a confidence interval around the mean, this is the probability between these two times, think central limit theorem)