- [Instructor] What we have here are a few data analysis
questions in a biology context
from the New York Regents Exam,
but these are useful example problems
if you're studying high school biology in general
because they might show up in some type
of an exam that your teacher gives you
or you might see on a standardized test.
A student proposes that, if volunteers warm up
before squeezing a clothespin for one minute,
they will increase the number of times
that they can squeeze it within tiring.
He states that this is because their muscles will
be better prepared for the exercise.
The data from an experiment are shown
in the data table below.
Which trial from the chart above provides the best data
to support his claim?
Support your answer.
So, pause this video and see if you could answer it.
So, let's just make sure we understand what's going on here.
So, there's two trials.
This is the first trial, trial one, right over here,
and in trial one, you had two groups of 10 students.
One of them did warm up and the other 10 did not warm up,
and then in trial two, you had two more groups
and this time, they were groups of 25.
Once again, 25 who did warm up and 25 who didn't warm up.
Now, in trial one, the group that warmed up
actually had a lower number of average squeezes,
so this goes against the hypothesis that the student had.
The hypothesis the student has is if they warm up beforehand
that you would actually be able to do more squeezes,
so trial one actually goes against the student's claim.
Trial two seems to slightly go in favor
of the student's claim.
The group that warmed up was able to eke out a few more.
Now, we haven't done the statistical analysis
to know how probable this is,
if it was due purely to random chance,
but just to answer that question,
one, the data goes, trial one goes a little bit
against the student's claim.
Trial two best supports this claim,
although it doesn't do it so strongly.
So, I would say trial two
and that is because the 25 that warmed,
warmed up, that is group three,
group three, were able,
on average, on average,
to squeeze more in a minute,
to squeeze more
in the minute
than group four
that didn't warm up.
Alright, let's do another question here.
So, here we're told, students were asked to design a lab
that investigated the relationship between exercise
and heart rate.
Heart rate was determined by recording
the pulse rate in beats per minute.
The students hypothesized that increased exercise
results in an increased heart rate.
The class results for the experiment are shown
in the graph below.
And then they say, which statement is best supported
by this graph?
And we're given four choices.
So, pause this video and see if you could
answer this on your own.
Alright, now let's go through statement by statement.
Statement one, before exercising,
the average pulse rate was 65.
Four minutes after exercising,
the average pulse rate was 65.
So, let's see.
Before exercising, the average pulse rate was 65.
So, before exercising, this is time period right over here
and it does look like over most
of that time period, let me do this in red,
it does look like that is reasonably,
that is roughly true.
It looks like the average pulse rate was 65,
but now let's read the second part of the statement.
Four minutes after exercising,
the average pulse rate was 65 as well.
Four minutes after exercising,
what's the average pulse rate?
Well, it sure isn't 65, it looks closer
to being, maybe, 135, not 65, so we could rule this one out.
After four minutes of exercising,
the average pulse rate was 120.
Let's see.
So, this is when the exercise starts.
After four minutes, the average pulse rate was 120.
No, it looks like it was like 135 or something like this,
so this is already looking fishy.
Two minutes after exercising,
the average pulse rate was 120.
So, two minutes after exercising,
the average pulse rate actually seems closer to about 90,
so both of those look fishy, I'll rule that one out.
While exercising, the average,
the highest average pulse rate was 150.
Before exercising, the average pulse rate was 65.
So, let's see, while exercising,
the highest average pulse rate happens right over there
and that does indeed look pretty close to 150,
so this part's looking good.
Before exercising, the average pulse rate was 65.
Yeah, we already talked about this period right over here.
So, this is looking good, I'm liking this choice,
but let's see choice four.
Two minutes before exercising,
the average pulse rate was 80.
So, two minutes before exercising,
this is when we start exercising
and each of these hash marks is a minute,
so two minutes before, the average pulse rate was not 80,
so that's false.
After two minutes of exercise,
the average pulse rate was 140.
After two minutes, the average pulse rate was also not 140,
so both of those statements are not correct.
So, I like statement three, that's the one that seems
to be backed up by the data here.