Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis
; Alternative hypothesis
.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by
is of 0, hence:

At the alternative hypothesis, it is tested if there is a difference, hence:

More can be learned about an hypothesis test at brainly.com/question/26454209
Answer: The widths of Kyle and Myla's boxes is the same as 2 ft.
Step-by-step explanation:
Formula : Volume of cuboidal box = length x width x height

Given: Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft³ .

Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft³.

Hence, the widths of Kyle and Myla's boxes is the same as 2 ft.

has gradient

which at the point (-1, 4, 3) has a value of

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say
, in which case we have

Then the derivative of
at (-1, 4, 3) in the direction of
is

The answer to your question is, The pool dropped 1.38/16 inches per hour.