SOLUTION: Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 people taken from the population. What is the probability of getting a mean of 168 or lowe

Algebra.Com
Question 865542: Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 people taken from the population. What is the probability of getting a mean of 168 or lower?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 people taken from the population. What is the probability of getting a mean of 168 or lower?
z(168) = (168-170)/[12/sqrt(50)] = -2/1.697 = -1.1785
____
P(x-bar <= 168) = P(z <= -1.1785) = normalcdf(-100,-1.1785) = 0.1193
===================
Cheers,
Stan H.
===================

RELATED QUESTIONS

Consider a population with a mean of 25 and a standard deviation of 4. A sample of 100... (answered by math_tutor2020)
Suppose a random sample of 50 values is taken from a normal population with standard... (answered by ewatrrr,stanbon)
Consider an infinite population with a mean of 160 and a standard deviation of 25. A... (answered by stanbon)
a random sample of size 36 is taken from a population whith mean of 50 and standard... (answered by tommyt3rd)
consider an infinite population with a mean of 160 and standard deviation of 25,a random... (answered by stanbon)
Determine the mean (μx̅), variance (σ2 x̅), and standard deviation (σx̅). a. (answered by Boreal)
A sample of 64 was taken from a population, with the mean of the sample being 119 and the (answered by Boreal,rothauserc)
samples of size 81 are taken from a population of size 500 with mean 10 and standard... (answered by CPhill)
True, False If random samples is taken from a normal distribution with mean 50 and... (answered by stanbon)