Question

What is the difference between x bar and p bar and how do you know which one to use when it comes to questions asked? I have a test coming up and I’m concernecered I won’t be able to figure out when to use the x bar equations and the p bar equations. Thanks in advance! :)

Answer 1

Xbar::-

All things considered, there are truly a large number of x 's … there is a x for every conceivable example we could select from the populace. The conveyance of all conceivable x 's is known as the examining conveyance of x .

1)X bar is used when the mean of all possible values of the sample mean equals the population mean mue.

2)the standard deviation of the all possible values of the sample mean (x bar) equals the standard deviation of the population divided by the square root of the sample size.

2)we have to use the X bar when the population is normalyy distributed then the sampling distribution of X bar is normally distributed with mean and standard deviation .

Pbar:::--

Indeed, there are truly a large number of pˆ 's … there is a pˆ for every conceivable example we could select from the populace. The conveyance of all conceivable pˆ 's is known as the testing circulation of pˆ .

1) P bar is an unbiased estimator of P

2)if we took a random sample of size n from this population and examining the sample the proportion of the sample is denoted by P bar which leads to the success category of data

3)similary Pbar is approximated by a normal distribution with mean and standard deviation of the given data

4)The number of proportion of members of population that fall into the succss category is denoted by P, in which the sampling distribution of Pbar.