Chat with our AI personalities
For a population the mean and the expected value are just two names for the same thing. For a sample the mean is the same as the average and no expected value exists.
0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.
Fair means unbiased. That is to say, the expected outcome of a set of trials is the same as what would be expected on theoretical grounds.
The expected value is the arithmetic mean. It may not always be a value that is realised. Consider rolling a fair normal die. The mean or expected value of the outcome is 3.5 but a normal die will never ever turn up 3.5 since it has only integer values.
For goodness of fit test using Chisquare test, Expected frequency = Total number of observations * theoretical probability specified or Expected frequency = Total number of observations / Number of categories if theoretical frequencies are not given. For contingency tables (test for independence) Expected frequency = (Row total * Column total) / Grand total for each cell