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AP Statistics 1.3 Statistical Inference
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AP Statistics 1.3 Statistical Inference. How many miles away from home is Marianna's college?

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AP Statistics 1.3 Statistical Inference 213 Views


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AP Statistics 1.3 Statistical Inference. How many miles away from home is Marianna's college?

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English Language

Transcript

00:00

Thank you We sneak here's a question for you Don't

00:05

forget to whistle while you shmoop all right The entire

00:08

graduating class at newton high school was pulled to see

00:11

how far away from home the students would be attending

00:14

college The mean number of miles they were from home

00:18

is two hundred ten and the standard deviation of miles

00:21

is twenty three If mariana z score is negative one

00:25

point three how many miles away from home does she

00:27

attend college and hear the potential answers Okay so we're

00:32

given the mean number of miles away from home and

00:35

standard deviation and that mariana's e score is negative One

00:39

point three So what does z score even mean in

00:43

statistics A z score is a measurement of a scores

00:45

relationship to the meet In this context the sea score

00:49

gives a relationship between the number of miles mariana is

00:53

away from home and the mean number of miles newton

00:57

high school students are away from home at that art

01:01

is a score of zero means that mariana is the

01:03

same number of miles away from home as the mean

01:06

two hundred ten A negative c score mean she is

01:10

Less than two hundred ten miles away and a positive

01:13

one means that she's greater than two hundred ten miles

01:15

away All right we're given that her z score is

01:18

negative one point three so we know she must be

01:20

less than two hundred ten miles away which eliminates a

01:24

box Now to find out exactly how far she is

01:27

away well let's put out our handy dandy z score

01:30

Formula c equals x minus mu over sigma where x

01:35

is mary honest distance from home New is the population

01:39

mean and sigma is the population standard deviation now as

01:43

we just plug stuff in well z is negative one

01:46

point three two hundred ten is mu and twenty three

01:49

has sigma We can multiply both sides by twenty three

01:53

and add two hundred ten to both sides and we

01:55

get that x equals one hundred eighty point one miles

01:59

So ex tells us that mariana is living one hundred

02:01

eighty point one miles away from home Answer c true

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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...