I have a assignment for Minitab 15, which about varoius statistics concepts (basic and foundamental topics) but have a big problem with understanding of of questions! Also I do not know how it's possible to use Minitab® to answer this question, I would be glad some one get me clue. (- I don't need some one to solve the problem just help to how could do it in Minitab®)
This is the question:
Generate 15 000 samples of size n = 15 each, from the Poisson distribution with parameter λ=3 Calculate the mean from each sample. You have now 15 000 means.
Draw a histogram of these 15 000 means. What is the shape of the histogram? Calculate the mean of the 15 000 means and the standard deviation. Use the Central Limit Theorem to explain why they should be close to 3 and 0.4472 respectively. Also explain the shape of the histogram.
Also as I'm new to statistics, can't understand how it's possible to have 1500 means?
Use the drop-down menu in Minitab, not the command line.
Place the 15000 samples of size 15 each in 15 columns. This can be done with Calc > Random Data > Poisson. It will take a few seconds. Now there are 15000 rows and 15 columns of data.
Next compute the means of each of these 15000 rows and place them in a new column. This can be done with Calc > Row Statistics.
Finally make a histogram of this column.