Question

In: Statistics and Probability

There is no data associated with these questions, they are just general questions. I didn't know...

There is no data associated with these questions, they are just general questions. I didn't know what is the difference between them.

a. What does the population distribution count?

b. What does the sample distribution count?

c. What does the distribution of sample means count?

Expert Solution

a) the population distribution states that how is the particular population is distributed . for example , population is normally distributed with parameters mean and standard deviation .

population mean is denoted by and standard deviation is denoted by . Also P is used for population propoprtion .

In population , we use parameters .

b) Sample distribution defines that how is sample distributed . It is the subset of population and it is a set of values used for the estimation . In sample we use statistic to estimate parameter .

And , then furthermore sampling is done through various samples .

c) The distribution of sample means is defined as the set of means from all the possible random samples of a specific size n selected from a specific population.

now , The shape of the distribution of sample means tends to be normal. It is guaranteed to be normal if : i) the population from which the samples are obtained is normal .

ii) the sample size is n = 30 or more .

Now , location of each sample mean is obtained by Z score ,

Z = (sample mean - population mean ) / Standard error of sample mean .

where , standard error of sample mean = / sqrt (n) .

I HOPE I WAS HELPFUL AND HAVE CLEARED YOUR DOUBTS.

orchestra answered 1 year ago

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