Answer:
The test hypothesis is
:
Step-by-step explanation:
Consider the provided information.
Null hypothesis refer the population parameter is equal to the claimed value.
If there is no statistical significance in the test then it is know as the null which is denoted by 
, otherwise it is known as alternative hypothesis which denoted by 
.
The historical average lifetime for cartridges produced by the current process is 1502.5 pages.
Hence, the test hypothesis is
:
We can use triangle inequality to prove it. What this rule is, it's basically if u add up 2 sides of the triangle, the length must be longer than the third side, check all 3 sides, and if all sides matches with the rule, a triangle is possible.
By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours.
x=the number of months
So the "7x" is the $7 per month, and the "10" is the $10 for each CD being ordered. It can't be more than 100, so the "less than or equal to" sign will be used.
