SOLUTION: A sample of n=25 observations is drawn from a normal population with &#956;=1010 and &#963;=230. Find each of the following: P(X¯>1102) P(X¯<913) P(X¯>973)

Algebra.Com
Question 1086828: A sample of n=25 observations is drawn from a normal population with μ=1010 and σ=230. Find each of the following:
P(X¯>1102)
P(X¯<913)
P(X¯>973)

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z > (1102-1010)/230/sqrt (25)=2 and that is 0.0228
z < (913-1010)/230/sqrt (25)=-2.11 and that is 0.0174
z > (973-1010)/230/sqrt(25))=-0.8043 and that is 0.7894

RELATED QUESTIONS

Consider H0: μ=72 versus H1: μ>72. A random sample of 16 observations taken... (answered by Boreal)
Suppose x has a distribution with μ = 25 and σ = 23. (a) If a random sample... (answered by stanbon)
A population of values has a normal distribution with μ=17.9 and σ=94.8. You... (answered by Edwin McCravy)
Please assist with decision rule Given the following hypotheses: H0 : μ... (answered by stanbon)
Consider a normal population with μ = 47 and σ = 5.2. Calculate the z-score for (answered by stanbon)
A sample of 80 observations is selected from a normal population. The sample mean is 15,... (answered by Boreal)
A normal population has μ = 30 and σ = 7. For a random sample of size n = 6,... (answered by ewatrrr)
A population of values has a normal distribution with μ=225.8 and σ=87.4. You... (answered by Theo)
A random sample of 100 observations from a population with standard deviation 28.51... (answered by stanbon)