Question

Please help me analyze this boxplot in terms of the question, thank you! I will give you a shiny shiny medal! :3

So I'm not sure how to answer this statistics problem but Q1 = -6.1 M= -3.65, Q3 = -1.3

So if both are negative, does that mean there is a significant difference?

A. Yes because the boxplot supports that the lake is becoming more​ clear, since most differences are negative.

Answer 1

I chose the third box plot, but Im not sure how to handle the question

Answer 2

@jhonyy9 please help, I hope you have time :)

Answer 3

@mhchen

Answer 4

For clarity, I suggest you post the complete question, including all parts a, b and c even if you have a question on only one part.
We want to know:
1. whether "difference" is X-Y or Y-X
2. what is the result in "part b"
3. what do each of the four box plots represent, when we are given only one set of six observations?
4. It sounds strange that the experimenter would go out to measure the clarity of water exactly 5 years later to the day, sounds fishy to me, just curious.

Answer 5

Ah sorry, here is the complete question:

So I chose the third box plot because it had the according Q1, M, and Q3 values. (It was correct). I'm just not sure how to interpret it into a final statement. But yeah, I don't know what the experimenter had in mind xD it sounds kind of funny actually.

Would it be A, because since the differences are negative it means that the water in the pond is getting deeper, therefore less visible, which means it follows:

"The researcher immerses a weighted disk painted black and white and measures the depth​ (in inches) at which it is no longer visible."

Also P - 0.02 < 0.05 Which means the alpha represents that there is sufficient evidence to prove that the water gets less visible as it gets deeper? Which means we reject the null hypothesis.

Answer 6

Thank you for posting the other parts.
So now it's clear that:
Difference, d=X-Y.
If we consider clarity increases with the visible depth, then difference equals old clarity minus new clarity. If d>0, then it is \(less\) clear after 5 years, and if d<0 (negative), then it means the lake is more clear five years later.
(I personally consider that d \(should\) be defined as Y-X, or new value - old value, so the bigger the number, the more clear the lake has become).

Also, the two other parts do not explain what the four box plots represent when there is only one set of data.
`Does this visual evidence...`
I am not sure what or which visual evidence, the data or the (mysterious) boxplots.
Are the four boxplots a multiple choice for the data?
If so, which one do you think is the one that represents the data?
You said you chose the third boxplot.
Have you considered the extreme values, i.e the maximum and minimum (out of the six values?)

Answer 7

Yes I have, theres an option to zoom in on each boxplot. I chose the third and it was correct. (Im using the calculator) so I got the exact values for the boxplot and Q1, Q2 (Median), and Q3.

Answer 8

Good, so you got everything settled?

Answer 9

Ah yes, thank you! You helped me out a lot, and yes the answers were correct c: