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.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )