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Playlist AP® Statistics 25 videos

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AP Statistics 1.2 Anticipating Patterns
349 Views

AP Statistics: Anticipating Patterns Drill 1, Problem 2. If a student does not take a music class, what is the probability that she takes adva...

1
AP Statistics 1.1 Exploring Data
297 Views

AP Statistics 1.1 Exploring Data. What should this histogram always be?

2
AP Statistics 1.2 Exploring Data
219 Views

AP Statistics: Exploring Data Drill 1, Problem 2. Which of the following is the best way to display this type of data?

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AP Statistics 1.4 Statistical Inference 172 Views


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Description:

AP Statistics 1.4 Statistical Inference. What is the 99% confidence interval for the dogs' biscuit consumption?

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Transcript

00:00

Thank you We sneak and here's your shmoop du jour

00:05

brought to you by fancy pants canines They desire the

00:08

finer things in life and it's a pity they have

00:10

to settle for us Here's the question A simple random

00:15

sample of three hundred poodles is taken from a population

00:18

of two thousand poodles in the samples The average number

00:21

of fancy pants canine biscuits eaten per day was three

00:23

point eight with a standard deviation of one point one

00:26

What is the ninety nine percent confidence interval for the

00:29

dog's biscuit consumption And here the possible answers All right

00:33

three point eight plus or minus what Okay well let's

00:36

walk through this and be sure to keep muttering to

00:38

yourself that there's nothing you'd rather be doing at this

00:40

moment than working with statistical inference muttering that makes it

00:44

harder to screen All right we need a confidence interval

00:47

for a mean so we need to know if the

00:49

sample is a simple random sample With means yes but

00:54

we don't think dogs even know how to say no

00:58

No way Okay next Is the population normally distributed with

01:03

a sample size of thirty or more Yeah Sample sizes

01:06

three hundred so slightly bigger than thirty How about the

01:09

standard deviation P no dice It wasn't given and we

01:13

have no way of calculating it So we'll calculate the

01:16

confidence interval like this sample estimate plus or minus critical

01:20

value times standard deviation of the estimate Since we were

01:25

never given p which is still a sore spot for

01:28

us we must use tea instead of ze since p

01:31

is unknown So our equation looks like this This ugly

01:35

thing right there the calculate t look at the t

01:38

distribution table that's the chart with all the columns and

01:41

all the numbers Once your eyes adjust focus on the

01:44

column with the ninety nine percent of the bottom There

01:46

are three hundred minus one degrees of freedom otherwise known

01:50

as two hundred ninety nine Since the table doesn't give

01:53

us two ninety nine we have to use the closest

01:55

number below two ninety nine which is one hundred So

01:59

the info that we've gathered calculated and otherwise bemoan gives

02:02

us t equals two point six two six which we

02:06

can plug into our equation and we get three point

02:08

eight plus or minus zero point one six seven And

02:12

what do you know that looks familiar Answer D is

02:15

the correct choice And hey if you want to impress

02:17

your fancy pants canine try explaining statistical inference to him

02:21

So they probably already learned it during their time at 00:02:23.84 --> [endTime] harvard

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