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PSAT 1.41 Math Diagnostic. Which of the following is equivalent to the expression?
Sleep, Precious Sleep 181 Views
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Description:
PSAT 1.4 Math Narrative Walkthrough
Transcript
- 00:00
Thank you We sneak in and here's your shmoop toos
- 00:05
your brought to you by sleep We'd tell you more
- 00:08
about it But well it's a real snooze fest All
- 00:11
right A student at the university of wasa mata conducted
- 00:14
a survey by asking five hundred random students at her
Full Transcript
- 00:17
university how many hours of sleep they got each night
- 00:19
and how good their grades were on a standardized test
- 00:22
The survey concluded that students benefit from more sleep God
- 00:26
the data table is shown below and the margin of
- 00:29
error is plus or minus two percent Which of the
- 00:31
following inferences is most likely false right here the potential
- 00:35
answers checking this out way Alright wait more sleep equates
- 00:41
to better academic performance Oh hold the phone Stop the
- 00:45
presses Muzzle the messenger boy All right so nothing earth
- 00:49
shattering We all know that when you're well rested you're
- 00:52
sharper And when you're sharper you score better on tests
- 00:55
But that's not quite What this question asks were given
- 00:58
four inferences and we're being asked to pick the one
- 01:01
that doesn't hold water Yeah it's super important to notice
- 01:04
that we're looking for the one false inference so we
- 01:07
can't just find one that checks out and call it
- 01:10
a day Well let's check out option a and see
- 01:12
what it's selling most university students at wasim outta you
- 01:16
sleep more than four hours That true Well according the
- 01:19
table Yeah totally There are apparently two hundred students who
- 01:22
sleep less than four hours but one hundred seventy plus
- 01:25
one Thirty or three hundred students who sleep more than
- 01:29
that No because is legit We can cross off our
- 01:31
list Next up option c the majority of students that
- 01:35
wasa matter you will score ninety three or above on
- 01:37
the standardized test regardless of how much sleep you get
- 01:40
Sure check out the median scores ninety three or higher
- 01:43
across the board regardless of sleep And what is the
- 01:46
median Tell us Well a median is the exact middle
- 01:50
number in a data set meaning that at least half
- 01:53
of each group is going to score ninety three or
- 01:55
higher on their test making this one true as well
- 01:58
Wow Impressive They're either some real geniuses in the school
- 02:02
or these tests include questions like how many fingers do
- 02:05
you have And is the sun hot What about d
- 02:09
Students at once a mighty you who sleep more than
- 02:11
four hours and i generally perform better on standardized test
- 02:14
than students who sleep less than four hours a night
- 02:17
Well yeah of course they do And the table backs
- 02:19
that up Numbers in every category are improved when the
- 02:22
test taker gets more than four hours asleep Which brings
- 02:26
us to beat mohr sleep students that wasim body you
- 02:29
get the better their performances on a standardized test Okay
- 02:33
probably Yeah but we have to look at what the
- 02:35
tables telling us here if we check out the median
- 02:38
column for example there's a definite jumpin quality of performance
- 02:42
for those with less than four hours asleep to those
- 02:45
with four to six hours But from four to six
- 02:48
hours to sixty eight hours Well the ninety three ninety
- 02:51
four so close that they fall within the margin of
- 02:53
error Remember that two percent thing In other words they're
- 02:56
statistically the same And if you look at the median
- 03:00
or range it's a similar deal So while it's probably
- 03:03
true that mohr sleep will always lead to a better
- 03:06
test scores the findings presented in this table don't quite
- 03:10
close the case Your answer is beached But if you
- 03:13
just left through this entire video well you probably don't
- 03:16
have to worry You're alert Well Rest itself is gonna
- 03:19
ace that exam tomorrow as long as this particular question 00:03:22.7 --> [endTime] And it doesn't come up
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