Answer:
B. The interval will be narrower if the researchers increase the sample size of droplets.
Step-by-step explanation:
Margin of error of a confidence interval:
The higher the margin of error, the wider an interval is.

In which z is related to the confidence level(the higher the confidence level, the higher z),
is the standard deviation of the population and n is the size of the sample.
From this, we conclude that:
If we increase the confidence level, the interval will be wider.
If we increase the sample size, the interval will be narrower.
Which of the following statements about a 95 percent confidence interval for the mean width is correct?
Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.
Well that's a handful. Let's try to rewrite this with numbers and signs, and factor out the 6x. With the 6x factored out we can eliminate the 6 from the numerator and denominator.
[tex] \frac{6 x^{3} - 18 x^{2} -12x }{-6} = \frac{6x( x^{2} -3x - 2)}{-6} = -x(x^{2} - 3x - 2)
This is a geometric series
r = 4
a1 = 0.25
n = 5
It was 4.2 because 1/5 equals to .2