Assess the normality of the following variables: claim amount, coverage, household income, and deductible (explain whether or not the variables are normally distributed, are distribution symmetrical or skewed). Explain your findings and support with descriptives (numerical and/or graphical) 1. claim amount
X^2 = 1260620 ; df= 4414 ; p value= 0

2. coverage
X^2 = 1540098 ; df= 4414 ; p value= 0

3. income
X^2 = 303688.3 ; df= 4414 ; p value= 0

4. deductible
X^2 = 2289520 ; df= 4414 ; p value= 0

5. Is there a statistical relationship between claim amount and income? Explain your findings and support with descriptives (numerical and/or graphical)
X^2 = 1119220 ; df= 963072 ; p value= 0

6. Is there a statistical relationship between the type of claim and marital status? Explain your findings and support with descriptives (numerical and/or graphical)
X^2 = 4.179577 ; df= 4 ; p value= 0.3822479

Step-by-step explanation:

X squared statistic , degrees of freedom(df) and p value are given.

We want to assess whether given variables are normally distributed or not. That means goodness of fit test.

Decision rule -

If p value is less than or equal to alpha (level of significance ) then variable is not normally distributed otherwise it is normally distributed.

That means p value is so small implies that variable is not normally dustributed.

Claim amount , household income, deductible amount and coverage amount have pvalue = 0 , it is so small. Hence all these variables are not normally distributed.

Similarly if p value is so small then the given 2 variables are not independent, otherwise they are independent.

For checking the statistical relationship between claim amount and income , it is given that pvalue =0

Hence these variables are dependent that means they have statistical relationship.

Similarly, for checking statistical relationship between claim type and marital status it is given that

p value = 0.3822479 which is a way larger .Hence we say that claim type and marital status are independent that means they don't have statistical relationship.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this