Answer:
Part (A): The correct option is true.
Part (B): The null and alternative hypothesis should be:

Step-by-step explanation:
Consider the provided information.
Part (A)
A random sample of 100 students from a large university.
Increasing the sample size decreases the confidence intervals, as it increases the standard error.
If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.
Hence, the correct option is true.
Part (B)
The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.
Therefore, the null and alternative hypothesis should be:

Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:

which contains multiple solution if one tries to solve for x when the differentiated form is 0.
I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.
If, however, the function is

Then differentiating and equating to 0 yields:

which gives:

or

We reject x=5 as it is when it ix the maximum and thus,

, for
Answer:
I would say that the answer is 4/20
We have to write the equation of the line, in point-slope form. Given an identified point (x1, y1) as the point (-2, 2). So that means x1=-2 and y1=2
Value of slope "m" is not given so i will keep using "m" for the slope. In case value of slope m is given in the problem then you can plug that number in place of m.
Point slope formula is given by:

plug the given values into above formula :


so the required answer in point slope form is 
There are 8 big fish for every 10 small fish, ..... 5 small fish.