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AP Statistics Videos 32 videos

AP Statistics 3.1 Statistical Inference
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AP Statistics 3.1 Statistical Inference. Based on the numbers given, which of the following statements is true?

AP Statistics 1.2 Exploring Data
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AP Statistics: Exploring Data Drill 1, Problem 2. Which of the following is the best way to display this type of data?

AP Statistics 1.5 Exploring Data
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AP Statistics: Exploring Data Drill 1, Problem 5. Which pieces of information would we need to create this graph?

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AP Statistics 3.5 Statistical Inference 187 Views


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AP Statistics 3.5 Statistical Inference. To calculate a 98% confidence interval for the average number of nuts collected, we should do which of the following?

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Transcript

00:00

Thank you We sneak and here's your smoke too Sure

00:05

brought to you by distraction It's usually not a good

00:08

thing but sometimes who Look a squirrel All right way

00:12

surveyed a simple random sample of twenty eights world to

00:14

find the average number of nuts collected before winter to

00:18

calculate and ninety eight percent confidence interval for the average

00:21

number of nuts collected We should do which of the

00:24

following and here the financial answers Okay so what's a

00:29

ninety eight percent confidence interval in statistics A confidence interval

00:34

is an interval or range of likely population values from

00:37

which we might obtain our estimate of the average In

00:41

this case the average number of nuts collected Yeah a

00:44

ninety eight percent confidence interval refers to a range in

00:47

which we're ninety eight percent sure that the true mean

00:51

or average lives within those numbers Okay so first of

00:55

all we're calculating a confidence interval for means or averages

00:58

not proportions So we have to be nuts to eat

01:02

Picking a glance of a three day we noticed that

01:04

we should be solving for either the tea or than

01:07

see critical value which first of this year team distributions

01:11

when do we use the sea And when do we

01:12

use t Well it's actually requires us to know something

01:16

called the central limit Mira it tells us that the

01:20

sampling distribution of a sample means is approximately normal When

01:24

the sample size is large enough like say more than

01:27

thirty If our sample size is large enough we can

01:31

use c procedures to analyze samples If not we have

01:34

to use t procedure Okay in this case our sample

01:38

size is not large enough so we have to use

01:40

t procedures which leaves us with your b or c

01:43

is the answer all right A little bit about the

01:46

team distribution The tea distribution changes based on sample size

01:50

and is determined by the number of degrees of freedom

01:53

which is basically just the sample size and minus one

01:56

closer end is two Thirty the more it looks normal

02:00

like ze distribution with our sample size of twenty eight

02:03

squirrels the degrees of freedom or df is twenty eight

02:07

minus one or twenty seven We're looking for a ninety

02:10

eight percent confidence level So if we shade in the

02:14

middle of the distribution is ninety eight percent We're left

02:17

With two talents of one percent or point o one

02:22

though the tea distribution table which is provided in every

02:24

stats test shows us that thi equals two point four

02:26

seven three for ninety eight percent Confidence level and bf

02:31

equals twenty seven And today our answer is c

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