That is how whole numbers are defined.
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
It is a symmetric bell-shaped distribution which can be used to represent a very large number things from every-day life. It has some very useful statistical properties.
It is because of the way in which positive and negative numbers are defined.
It is because that is how they are defined.
The Normal distribution is frequntly encountered in real life. Often a matter of interest is how likely it is that the random variable (RV) being studied takes a value that it did or one that is more extreme. This requires a comparison of the observed value of the RV with its Normal distribution. Unfortunately, the general Normal distribution is extremely difficult to calculate. The Normal distribution is defined by two parameters: the mean and the variance (or standard deviation). It is impossible to tabulate the distribution of every possible combination of two parameters - both of which are continuous real numbers. However, using Z score reduces the problem to that of tabulating only one the Normal distribution: the N(0, 1) or standard Normal distribution. This allows the analysis of an RV with any Normal distribution.
That is how whole numbers are defined.
A comparison distribution type is what we use to make inferences from the data of our study or experiment. The researcher uses the comparison distribution to determine how well the distribution can be approximated by the normal distribution. Hypothesis testing is very important for every statistical test.
No. For example, in real numbers, the square root of negative numbers are not defined.
Yes irrational numbers are real numbers that are part of the number line,
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
It is a symmetric bell-shaped distribution which can be used to represent a very large number things from every-day life. It has some very useful statistical properties.
It is because of the way in which positive and negative numbers are defined.
There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
use this link http://www.ltcconline.net/greenl/Courses/201/probdist/zScore.htm Say you start with 1000 observations from a standard normal distribution. Then the mean is 0 and the standard deviation is 1, ignoring sample error. If you multiply every observation by Beta and add Alpha, then the new results will have a mean of Alpha and a standard deviation of Beta. Or, do the reverse. Start with a normal distribution with mean Alpha and standard deviation Beta. Subtract Alpha from all observations and divide by Beta and you wind up with the standard normal distribution.
Normal aging is best defined by chronological aging 65 to 74 - young old; 75 to 84 middle old; 85 above old old. Biological aging does not match uniformly with the above. Functional aging is different for every individual who is aging.
We looked on-line for definitions of "integer", and every one we found defined "integer" as meaning "whole number". So, yes.