ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


AP Statistics Videos 40 videos

AP Statistics 2.1 Exploring Data
210 Views

AP Statistics 2.1 Exploring Data. How does this change affect the mean, standard deviation, and IQR?

AP Statistics 5.1 Exploring Data
37 Views

AP Statistics 5.1 Exploring Data. What does this information tell us about the data?

AP Statistics 5.2 Exploring Data
23 Views

AP Statistics 5.2 Exploring Data. Which method would not be a good option?

See All

AP Statistics 1.4 Statistical Inference 172 Views


Share It!


Description:

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

Language:
English Language

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

Related Videos

AP Statistics 2.1 Exploring Data
210 Views

AP Statistics 2.1 Exploring Data. How does this change affect the mean, standard deviation, and IQR?

AP Statistics 5.1 Exploring Data
37 Views

AP Statistics 5.1 Exploring Data. What does this information tell us about the data?

AP Statistics 5.2 Exploring Data
23 Views

AP Statistics 5.2 Exploring Data. Which method would not be a good option?

AP Statistics 1.5 Statistical Inference
206 Views

AP Statistics 1.5 Statistical Inference. Which of the following statements is false?

AP Statistics 2.1 Statistical Inference
27 Views

Want to pull an Oliver Twist and ask us for more? We've gotcha covered. Head over to /video/subjects/math/test-prep/ap-statistics/ for more AP...