Four times the lesser of two consecutive even integers is 12 less than twice the greater number. Find the integers.
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For this case we have the following subtraction:
We can rewrite the subtraction in an easier way.
We have then:
Then, by doing associative property we have:
Answer:
The value of the subtraction is given by:
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
Where
is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
The confidence interval can be calculated using following formula:
Where
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income: