![how to calculate standard error of proportion how to calculate standard error of proportion](https://spreadsheetplanet.com/wp-content/uploads/2020/05/Standard-Error-Formula.jpg)
Increasing s increases the size of the standard error of the mean by the same factor.ħ. What effect does increasing s have on when the sample size doesn't change? Doubling s doubles the size of the standard error of the mean.Į. The standard error of the mean is directly proportional to the standard deviation. What effect does doubling s have on when the sample size doesn't change? It will be half as large as the original.Ĭ. Multiplying the sample size by 4 divides the standard error by the square root of 4. What effect does quadrupling the sample size have on when s doesn't change? Multiplying the sample size by 2 divides the standard error by the square root of 2. What effect does doubling the sample size have on when s doesn't change? Examine the answers you obtained for question 5.Ī. Calculate for the following eleven samples:Ħ. If the sample's standard deviation tells you how good the sample's mean is as a description of the typical person in the sample, the standard error of the mean tell you how good the sample's mean is as a description of what? In other words, if the sample's standard deviation tells you how far the sample's mean is from the typical person in the sample, the standard error of the mean tells you how far the sample's mean is likely to be from what?ĥ. Assuming your sample size does not change, what will be if you could change to:Ĭhanging from 9.0 to 12.0 will increase the standard error of the mean by 12/9 = 1.33, which will give you 4.8 instead of 3.6.Ĭhanging from 9.0 to 4.5 will decrease the standard error of the mean by 4.5/9 = 0.5, which will give you 1.8 instead of 3.6.Ĭhanging from 9.0 to 13.5 will increase the standard error of the mean by 13.5/9 = 1.5, which will give you 5.4 instead of 3.6.Ĥ. Assume is 3.60 and your estimate for is 9.00. The new sample is four times as big, so: and the new standard error is half as large as the original one:ģ.
![how to calculate standard error of proportion how to calculate standard error of proportion](https://images.slideplayer.com/32/10034535/slides/slide_3.jpg)
![how to calculate standard error of proportion how to calculate standard error of proportion](https://i.ytimg.com/vi/FSVDJoHZ3rM/maxresdefault.jpg)
The new sample size is one fourth as big, so: and the new standard error will be twice as large as the original one: For this example, when you make the sample size twice as big, the will be times as big, or This is the "inverse square root" relation between sample size and. 2.) is defined as If you change the sample size by a factor of c, the new will be