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The result of the respective questions are:
- This chi-square test only takes into consideration one variable.
- The type of chi-square test this is is a Goodness of Fit
- df= 3
- NO
a)
This chi-square test only takes into consideration one variable.
b)
The type of chi-square test this is, is a Goodness of Fit
To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.
The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.
c)
Parameter
n = 4
Therefore
Degrees of freedom
df= n - 1
df= 4 - 1
df= 3
d)
In conclusion
Parameters
df = 3
Hence
Critical value = 7.814728
Test statistic = 6.6
Test statistic < Critical value, .
NO, the result of this test is not statistically significant.
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An inverse function is a function that reverses another function, so we have a function called:
Then, the inverse function will be as follows:
Given that
, we need to isolate x in terms of y:
∴
So:
and 
therefore, exchanging variables x and y:
and 
and 
Which are the figures shown below.
Then, the inverse function will be as follows:
Given that
∴
So:
therefore, exchanging variables x and y:
Which are the figures shown below.