SOLUTION: A certain population has a mean of 500 and a standard deviation of 30. Many samples of size 36 are randomly selected and the means are calculated.
What value would you expect t
Algebra.Com
Question 481060: A certain population has a mean of 500 and a standard deviation of 30. Many samples of size 36 are randomly selected and the means are calculated.
What value would you expect to find for the mean of all these samples means? (round to the nearest integer)
What value would you expect to find for the standard deviation of all these sample means? (round to the nearest integer)
True of False, you would expect the shape of the sampling distribution to be approximately normal
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A certain population has a mean of 500 and a standard deviation of 30.
Many samples of size 36 are randomly selected and the means are calculated.
What value would you expect to find for the mean of all these samples means?
Ans: The mean of the sample means = the mean of the population
Ans: 500
---------------------------
What value would you expect to find for the standard deviation of all these sample means?
Ans: 30/sqrt(36) = 30/6 = 5
-----------------------------------
True of False, you would expect the shape of the sampling distribution to be approximately normal
True.
---
All of these answers are provided by the Central Limit Theorem.
Cheers,
Stan H.
RELATED QUESTIONS
A certain population has a mean of 529 and a standard deviation of 29.7. Many samples... (answered by Boreal)
samples of size 81 are taken from a population of size 500 with mean 10 and standard... (answered by CPhill)
If a population has a standard deviation σ of 25 units, what is the standard error... (answered by stanbon)
Suppose samples of size 49 are drawn randomly from a population that has a mean of 300... (answered by stanbon)
given the mean of 100 and the standard deviation of 30 for a normally distributed... (answered by stanbon)
A variable of a population has a mean of 100 and a standard deviation of 28.
a. The... (answered by stanbon)
A population of size 1000 has a proportion of 0.5. therefore, the proportion and the... (answered by ewatrrr)
3. Suppose many samples of size 49 are selected from a population with mu = 250 and sigma (answered by stanbon)
Identify the distribution of the sample mean. In particular, state whether the... (answered by stanbon)