The final example of this section explains the origin of the proportions given in the Empirical Rule. We can see from the first line of the table that the area to the left of \(-5.22\) must be so close to \(0\) that to four decimal places it rounds to \(0.0000\). Similarly, here we can read directly from the table that the area under the density curve and to the left of \(2.15\) is \(0.9842\), but \(-5.22\) is too far to the left on the number line to be in the table.We can see from the last row of numbers in the table that the area to the left of \(4.16\) must be so close to 1 that to four decimal places it rounds to \(1.0000\). For examples of tests of hypothesis which use the Chi-square distribution, see Statistics in crosstabulation tables in the Basic Statistics and Tables chapter. We obtain the value \(0.8708\) for the area of the region under the density curve to left of \(1.13\) without any problem, but when we go to look up the number \(4.16\) in the table, it is not there. You can use our normal distribution probability calculator to confirm that the value you used to construct the confidence intervals is correct. \) by looking up the numbers \(1.13\) and \(4.16\) in the table. A standard normal distribution table, like the one below, is a great place to check the referential values when building confidence intervals.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |