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AP Statistics: Sampling and Experimentation Drill 1, Problem 2. Which of the following studies would be the best approach to finding his new l...
AP Statistics 1.3 Statistical Inference. How many miles away from home is Marianna's college?
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...
AP Statistics 1.3 Statistical Inference 213 Views
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Description:
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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