# AP Statistics 1.3 Statistical Inference

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

AP Statistics | Statistical Inference |

Language | English Language |

Sampling And Experimentation | Planning and Conducting |

### Transcript

is two hundred ten and the standard deviation of miles

is twenty three If mariana z score is negative one

point three how many miles away from home does she

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

given the mean number of miles away from home and

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

point three So what does z score even mean in

statistics A z score is a measurement of a scores

relationship to the meet In this context the sea score

gives a relationship between the number of miles mariana is

away from home and the mean number of miles newton

high school students are away from home at that art

is a score of zero means that mariana is the

same number of miles away from home as the mean

two hundred ten A negative c score mean she is

Less than two hundred ten miles away and a positive

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

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

negative one point three so we know she must be

less than two hundred ten miles away which eliminates a

box Now to find out exactly how far she is

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

Formula c equals x minus mu over sigma where x

is mary honest distance from home New is the population

mean and sigma is the population standard deviation now as

we just plug stuff in well z is negative one

point three two hundred ten is mu and twenty three

has sigma We can multiply both sides by twenty three

and add two hundred ten to both sides and we

get that x equals one hundred eighty point one miles

So ex tells us that mariana is living one hundred

eighty point one miles away from home Answer c true