The histogram given below has 410 samples of a particular random variable which
ID: 3151637 • Letter: T
Question
The histogram given below has 410 samples of a particular random variable which are all between 0.0 and 10.0 with a mean of 5.00 and a sigma of 2.5, grouped in a bar chart in our attempt to see whether they fall into a recognizable distribution. We suspect that a normal or a uniform (between 0. and 10.) distributions would be possible candidates and we want to know which is best, or whether both are unacceptable for the data in question. What does the chi square test tell us about it? Do we get the same ranking of PDF's (i.e. normal is better than uniform or vice versa) if we compress the data in five groups (i.e. from 0.-2., 2.-4., 4.-6., 6.-8., and 8.-10.) Apply the chi square test again and comment on tbe results. Is the reduction from ten to five groups necessary for acceptable X^2 results?Explanation / Answer
the chi squares tell us about if there is a relationship between variables or not
As you can see in the graph the distribution it seems to be normal because it has a bell curve in the data
few data in the extremes and lot of data in the center of the graph
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