Solution :
Given :





So we want to test :
vs 
a). For 98% confidence interval :



= (1.956, 10.045)
I think you meant to say

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.
Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives


Note that when x = 0 and y = 1, we have dy/dx = 3.
Differentiate both sides again with respect to x :

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

When solving this inequality, you would do the inverse to the other side.
Subtraction is the inverse of addition.
So,
n + 9 (-9) <-3 (-9)
n<-12
When you subtract two negative numbers, you continue to the left of the number line.
I hope this helps!
~cupcake
RT + tw = wx + tw is the right answer