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Playlist AP® Statistics 25 videos
AP Statistics: Anticipating Patterns Drill 1, Problem 2. If a student does not take a music class, what is the probability that she takes adva...
AP Statistics 1.1 Exploring Data. What should this histogram always be?
AP Statistics: Exploring Data Drill 1, Problem 2. Which of the following is the best way to display this type of data?
AP Statistics 1.3 Statistical Inference 213 Views
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AP Statistics 1.3 Statistical Inference. How many miles away from home is Marianna's college?
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
Full Transcript
- 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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