SOLUTION: There are 8,000 students at the university of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36
Algebra.Com
Question 309463: There are 8,000 students at the university of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected.
a. determine the standard error of the mean.
b. what is the probability that the sample mean will be larger than 19.5?
c, what us the probability that the sample mean will be between 25.5 and 27 years?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 8,000 students at the university of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected.
a. determine the standard error of the mean.
Ans: s = 9/sqrt(36) = 3/2
----------------------------------
b. what is the probability that the sample mean will be larger than 19.5?
z(19.5) = (19.5-24)/(3/2) = -3
P(x-bar < 19.5) = P(z < -3) = normalcdf(-100,-3) = 0.0013
----------------------------------
c, what us the probability that the sample mean will be between 25.5 and 27 years?
---
z(27) = (27-24)/(3/2) = 2
z(25.5) = (25.5-24)/(3/2) = 1
------------
P(15.5< x < 27) = P(1< z < 2) = normalcdf(1,2) = 0.1359
============================================================
Cheers,
Stan H.
RELATED QUESTIONS
The ratio of graduate students to undergraduates at a certain university is 9 to 5. If... (answered by lwsshak3)
a university has 25000 students:0.1% of these students are majoring in math. how many... (answered by Kasandra24)
The ratio of in state to out of state students at the university is 7 to 2. If there are (answered by Fombitz)
A university president asked the best statistics teacher in their university to estimate... (answered by Fombitz)
The ratio of male students to female students at a certain university is 5 to 4. If there (answered by mananth)
The ratio of male students to female students at a certain university is 7 to 15. If... (answered by stanbon)
The ratio of male students to female students at a certain university is 9 to 11. If... (answered by stanbon)
The ratio of male students to female students at a certain university is 13 to 20. If... (answered by Fombitz)
The ratio of male students to female students at a certain university is 13 to 20. If... (answered by Fombitz)