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student
1200pi/1 minute * 9ft * 1mile/5280 ft
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volunteer
yup
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volunteer
whats the final value?
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student
386 mile/hr because we also multiple by 60min/1 hour
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volunteer
and you forgot to convert one thing
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volunteer
yup
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student
yay
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volunteer
you got it
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student
confetti!!!
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student
yay
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volunteer
yup
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student
okay wait thank you so much
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student
I get it better now
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volunteer
you got it Maya
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student
I'll just keep doing problems and applying the knowledge
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student
Wow!
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volunteer
but do you know why are you converting 600 rpm to radians per min?
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student
well it asks for the final answer to be in mph
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volunteer
yup
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student
yay
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volunteer
but why you covert that?
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volunteer
because
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volunteer
600 is the no of spin
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volunteer
not the distance
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volunteer
so we convert that spin to the distance
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volunteer
thats why
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student
yea
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student
thanks
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student
I get it
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volunteer
you did really well
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student
thank you that's so kind. it was thanks to you
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volunteer
best of luck Maya
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 13, "end": 17 } ]
student
Also do you happen to be Indian
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[ { "pii_type": "NRP", "surrogate": "Indian", "start": 25, "end": 31 } ]
volunteer
you are most welcome
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student
just curious because of your name
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volunteer
yup
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student
oh my gosh same
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volunteer
you too?
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student
I'm Pakistani
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[ { "pii_type": "NRP", "surrogate": "Pakistani", "start": 4, "end": 13 } ]
volunteer
same
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student
I had a classmate named Anaya when I was younger
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[ { "pii_type": "PERSON", "surrogate": "Anaya", "start": 24, "end": 29 } ]
student
just spelled differently
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volunteer
ikr
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student
so I was curious
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student
oh okay twinsss
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student
okay thank youuu. good night!
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volunteer
it's a very common name except I am a girl
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student
OHH ME TOO
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student
okay that's so surprising because I didn't realize it could be used for girls as well
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volunteer
yup
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student
My names similar except it's more feminine since it has an a at the end
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volunteer
yes
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student
that's so cool
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student
okay thank you!
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student
good night
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volunteer
nice to meet you
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volunteer
good night
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student
nice to meet you too :)
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volunteer
OK, I hope you can hear me
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student
Hey, I would like to um deepen my understanding for in statistics for Chapter 5 on hypothesis testing with the means of the sample.
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volunteer
Right. And you said you had a practice problem, right?
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student
Yes
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volunteer
OK. Are you able to show me the practice problem and we can try it.
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student
Let me just
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student
OK
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student
1. Why is the standard deviation of the distribution of means generally smaller than the standard deviation of the distribution of the population of individuals? 2. For a population that has a standard deviation of 10, figure the standard deviation of the distribution of means for samples of size (a) 2, (b) 3, (c) 4, a...
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volunteer
Let
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student
These are the questions I want to practice first.
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volunteer
OK
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volunteer
All right
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volunteer
OK, we can start with the first question. Do you have any, any gas?
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student
Is, um, so the first one is because um
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student
the um
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student
it's because it wears among the um among the population.
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volunteer
Yes, if you have um
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volunteer
if you have a population of, of individuals and you just take
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volunteer
the value of one
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volunteer
one person
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volunteer
that can vary a lot, but when you take the mean, you add up
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volunteer
data from many people like can be a large sample.
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volunteer
and then you divide by the number of data points and that's your sample mean. So it's very difficult for that to vary. It will vary much less so that when you calculate, for example, if the standard deviation
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volunteer
of the population.
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student
Well, the answer is that it bears among the population, um.
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student
right.
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volunteer
Well, it varies among the population, but the sample mean will vary much less
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volunteer
than the individuals in the population.
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volunteer
I'll, I'll give you an example. I'll, I'll write on the board, if you have, if you have a variable x, you see what I'm writing on the board?
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volunteer
So let's say the standard deviation of X
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volunteer
is sigma, then if you
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volunteer
look at the
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volunteer
sample mean, so that's x bar. Do you see that?
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student
Yes, I see that
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volunteer
OK. So, this is, this is.
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student
That's also called the um the variants, right?
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volunteer
uh no, the variance is something else. The variance is the square of the standard deviation.
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volunteer
So the sample mean
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student
And the X bars the sample mean.
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volunteer
that's right
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volunteer
And when you calculate the standard deviation of the sample mean, that will be
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volunteer
sigma, which is the standard deviation divided by the square root of N. N is the sample size. So when you divide by
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