SOLUTION: The mean precipitation for Miami in August is 8 .9 inches and the standard deviation is 1.6 inches. Find the probability that a sample of 10 August months will have a mean of les

Algebra.Com
Question 1126497:
The mean precipitation for Miami in August is 8 .9 inches and the standard deviation is 1.6 inches. Find the probability that a sample of 10 August months will have a mean of less than 8.2 inches

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
this is a t df=9
t=(xbar-mean)/s/sqrt(n)
t< (8.2-8.9)/1.6/sqrt(10)
t < -0.7*sqrt(10)/1.6
t< -1.38
probability is 0.1003

RELATED QUESTIONS

Annual precipitation in a certain city is normally distributed with a mean of 99 inches,... (answered by ikleyn)
The annual precipitation amounts in a certain mountain range are normally distributed... (answered by stanbon)
The annual precipitation amounts in a certain mountain range are normally distributed... (answered by Boreal)
The annual precipitation for one city is normally distributed with a mean of 72 inches... (answered by TimothyLamb)
The annual precipitation for one city is normally distributed with a mean of 28 inches... (answered by TimothyLamb)
For the first 7 months of the year, the average precipitation in Toledo, Ohio is 19.32... (answered by Boreal)
For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 (answered by Boreal)
The annual precipitation amounts in a certain mountain range are normally distributed... (answered by stanbon)
The annual precipitation amounts in a certain mountain range are normally distributed... (answered by stanbon)