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Why do you derive a standard normal distribution for data you assume to follow a normal distribution?
Wiki User
∙ 10y ago
The normal distribution is very difficult to work with: the probability density function is not simple [I suspect that only a few mathematics graduates from university would be able to integrate it!]. The standard normal has been tabulated in considerable detail and so, if the normal is transformed to the standard normal, most of the analyses, hypothesis testing, confidence intervals and so on can be found by looking up tables.
Wiki User
∙ 10y ago
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What is abnormal distribution?
A standard distribution regards 95% of all data being within 2-standard deviations of either side. Similarly, within one standard deviation either way is 68% of all data. This creates a bell curve distribution. An abnormal distribution would be erratic and not follow such a statistical structure of representation.
Do units of measure follow the standard deviation?
Units of measure do follow the standard deviation.
How do you know whether data requires you to use a parametric or non parametric test?
Parametric tests assume that your data are normally distributed (i.e. follow a classic bell-shaped "Gaussian" curve). Non-parametric tests make no assumption about the shape of the distribution.
Why normal distribution is called normal distribution?
Most random variables are found to follow the probability distribution function All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.
How do you know x bar and R charts follow normal distribution?
Central Limit Theorem
When the population standard deviation is not known the sampling distribution is a?
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
If the outcomes of a random variable follow a Poisson distribution then their?
means equal the standard deviation
What is abnormal distribution?
A standard distribution regards 95% of all data being within 2-standard deviations of either side. Similarly, within one standard deviation either way is 68% of all data. This creates a bell curve distribution. An abnormal distribution would be erratic and not follow such a statistical structure of representation.
Why does a researcher want to go from a normal distribution to a standard normal distribution?
A researcher wants to go from a normal distribution to a standard normal distribution because the latter allows him/her to make the correspondence between the area and the probability. Though events in the real world rarely follow a standard normal distribution, z-scores are convenient calculations of area that can be used with any/all normal distributions. Meaning: once a researcher has translated raw data into a standard normal distribution (z-score), he/she can then find its associated probability.
Is the mean and standard deviation used in the following descriptive statistics to determine the curve of a normal distribution?
It is impossible to answer the question because "the following" did not follow.
How you induce the poisson distribution in normal queuing method?
I have no idea what you mean by inducing a distribution.If you assume that the number of events - people joining the queue - in a given time interval has a constant average rate and the the events are independent of one another, then arrivals in the queue follow a Poisson distribution.
What are synonyms for ensue?
follow, result, develop, proceed, arise, stem, derive, issue
What do you do to balance the line when the duration of the jobs is probablistic?
First, we assume all the probabilities follow normal distribution, so the sum of two means also follows the normal distribution and the standard deviation is the sum of the standard deviations.The method goes as follows:Since you have the cycle time for each workstation, assign a value that should be the limit between the duration of the jobs and the cycle time,begin firstly by standardizing the first job which has to be assigned, with the mean of this job and its standard deviation. If it does not exceed the cycle time, assign this job in this station.add to the current workstation the second job and add the two means together as well as the standard deviations. If the cycle time is exceeded, open a new workstation.
Do units of measure follow the standard deviation?
Units of measure do follow the standard deviation.
Intelligence scores follow what kind of distribution?
The IQs of a large enough population can be modeled with a Normal Distribution
Will the distribution of the sample means follow the uniform distribution?
The distribution of the sample means will, as the sample size increases, follow the normal distribution. This is true for any given distribution (e.g. does not need to be a normal distribution). This concept is from the central limit theorem. It is one of the most important concepts in statistics, along with the law of large numbers. An applet to help you understand this concept is located at: http:/www.stat.sc.edu/~west/javahtml/CLT.html
What distribution does the F distribution approach as the sample size increases?
The F distribution is used to test whether two population variances are the same. The sampled populations must follow the normal distribution. Therefore, as the sample size increases, the F distribution approaches the normal distribution.
