ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Estimation Videos 2 videos

AP Statistics 1.1 Statistical Inference
259 Views

AP Statistics: Statistical Inference Drill 1, Problem 1. Which of the following statements is true?

AP Statistics 3.5 Statistical Inference
187 Views

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...

See All

AP Statistics 3.5 Statistical Inference 187 Views


Share It!


Description:

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?

Language:
English Language

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

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...