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8
student
I'm doing it
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volunteer
OK
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student
So this is a directional hypothesis, right? The research hypothesis is directional, right?
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volunteer
Yes, we, we set it up in a directional or also called one-sided test.
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student
Yeah, one tilt test. So it would be um plus 1.64, right?
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student
That's the critical value, right?
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volunteer
OK, let me check
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student
Like positive 1.64.
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student
right?
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student
Cause it's 0.05, so
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volunteer
OK. 05.
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volunteer
OK
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volunteer
Let's see. Is it uh
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volunteer
is it, uh, yeah, 0.05. I'm gonna get, I'm getting my calculator.
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student
Oh, I just go with um
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student
oh, I, we just go with 1.64.
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volunteer
OK. So, but it has to be negative.
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student
Oh, OK.
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volunteer
I'm, I'm gonna show you on the board
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volunteer
I'm gonna draw the um
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volunteer
you have to draw the distribution at some point.
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student
Yeah, yeah. I, I already drew it on. I'm on step 3 and I already drew it.
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volunteer
OK
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student
I'm writing this stuff on paper.
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volunteer
OK
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student
And now we can go on to step 4. Are you ready?
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volunteer
Yes
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student
So this is where we had to like calculate the disease score and stuff.
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volunteer
Yes
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student
like the formula that we use stained glass, it was Z equals X minus the population need. Let me, let me go back to the.
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student
It was, um, no, yeah, I think it was Z equals x minus the population mean divided by the standard deviation of the means.
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volunteer
OK, but we haven't calculated the standard deviation of the mean, yet we have started it, but we haven't finished.
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student
Oh, we are in square root the 20 yet.
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volunteer
That's right. So the standard deviation of the population is 4.47, but the standard deviation of the sample meme
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volunteer
will be 4.47.
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volunteer
divided by the square root of 50.
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volunteer
That will be
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volunteer
our standard deviation to calculate the Z score.
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student
Hm.
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student
I'm doing that
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volunteer
OK.
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student
4.44.47 divided by the square root of 50, right?
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volunteer
Right
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student
See, I, I get stuck on this step, step 4 and step 2 because I don't really know like, because she said there was a difference on the in step 2 and step 4 of the hypothesis testing, then what we did in the intro chapter.
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volunteer
OK
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student
Yeah, but I, I quite don't understand the difference here I like.
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student
Do you see any difference like
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volunteer
Well, I'm not sure what your, your teacher said, uh, but everything you've, you've told me so far makes, makes perfect sense.
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student
hm
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volunteer
So now
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student
I got an answer of um 0.63.
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volunteer
OK, so let me calculate. So the
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volunteer
um
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student
The standard DV um so the sta um, so the standard deviation of the means is 0.63.
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volunteer
right
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volunteer
OK. I'm gonna calculate. So this is called the
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volunteer
uh, this
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volunteer
the test statistics.
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student
I don't know what happens, but in the exams, like I get nervous somehow and I get tricked up like I feel like it's trickier.
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volunteer
Mhm
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student
because with if she allows corrections, but um it's not like
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student
I don't know. I, I get stuck with this chapter for some reason, like I had problems understanding this chapters and understanding this chapter because we had to like learn it quickly, kind of.
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volunteer
Right
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student
Yeah, she just, um, she just spent two days with it. We didn't even spend too much time, but the two problems solving questions were from this chapter, like it gave me the standard deviation and uh me or something in population, and then it
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student
yeah, and with the, and then it gave me the significance level.
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student
That's it
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volunteer
OK
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student
And then um maybe the um, the big game, the sample me. I don't remember exactly what was on the exam, but it was tricky.
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volunteer
So tell me again what number did you get for the, uh, the Z score that for the test statistics.
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student
What the standard deviation of the means?
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volunteer
No, you, you, you, you calculated the Z score, just, just a minute ago. You gave me the number.
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student
There was 0.63 was the standard deviation of the needs, so.
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volunteer
Right
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volunteer
OK, now we have to calculate the the Z score for the test statistics.
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volunteer
Sure
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volunteer
OK
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student
I calculated. I know. I, I know how to do it now. It's
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student
and um the big game is also called the sample main is also like the eggs, right?
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volunteer
OK
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student
I'm asking you, is it the sampling is like a raw score?
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volunteer
No, uh, the, uh, we don't know the rascal. It's, it's similar to the Z score score, uh, but that's, that's what we're gonna be using. We're gonna be using it as a raw score and in our case it's 78.
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student
OK
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student
Because in my formula, I wrote like X minus the population of the means divided by the standard deviation of the meter.
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volunteer
Yes, that's the general formula for the Z score. In our case, the X is similar to the 78. The mean is similar to the 82 and the standard deviation that we already calculated is it becomes our 0.63.
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student
Mm
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student
OK.
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student
So in this case, our X would be 78, right?
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volunteer
Right.
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student
OK. So
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student
minutes 2.
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student
divided by 0.63.
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student
OK
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student
It you
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student
I got 6.35.
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student
No, 6.35.
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volunteer
OK, that's fine
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student
So that shows, that falls on the area of rejection, right?
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volunteer
Uh, very much so. We're, we're far, far to the left of the rejection area.
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student
We would reject the no hypothesis.
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volunteer
It would reject the null hypothesis, and we would conclude that people who are tired are definitely they perform badly
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