Download unit powerpoint

IM3
Statistics
Inferences and Conclusions from Data
Learning Objectives
S.ID.4 Use the mean and standard deviation of a data set to fit it
to a normal distribution and to estimate population
percentages. Recognize that there are data sets for which such a
procedure is not appropriate. Use calculators, spreadsheets, and
tables to estimate areas under the normal curve.
S.IC.3 Recognize the purposes of and differences among
sample surveys, experiments, and observational studies;
explain how randomization relates to each.
–
S.IC.1 Understand that statistics allows inferences to be made
about population parameters based on a random sample from
that population.
S.IC.2 Decide if a specified model is consistent with results from
a given data-generating process,
Inferences and Conclusions from Data
S.IC.4 Use data from a sample survey to estimate a
population mean or proportion; develop a margin of error
through the use of simulation models for random
sampling.
S.IC.5 Use data from a randomized experiment to
compare two treatments; use simulations to decide if
differences between parameters are significant.
–
S.IC.6 Evaluate reports based on data.
Glossary –
Learning Target - Understand that statistics allows inferences to be made about population parameters
based on a random sample from that population.
– Population – A group that we are studying
– Parameters – What we are trying to measure about our population
– Random Sample – How we collect our data
– Correlation – A relationship exists between our two variables
– Causation – A causal relationship exists between our variables
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Parameters and Population Vocab Practice
Inferences and Conclusions from Data
Glossary
Inferences and Conclusions from Data
Glossary:
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Types of Studies - practice
Inferences and Conclusions from Data
Strict Parents – Illustrative Math
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
LT S.ID.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and
to estimate population percentages. Recognize that there are data sets for which such a procedure
is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal
curve
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
What is Standard Deviation and
how can I calculate it?
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Calculate Standard Deviation
Practice
Inferences and Conclusions from Data
Is it normal? – From MVP
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Your Very Own Z –score table! - Handout
Inferences and Conclusions from Data
Inferences and Conclusions from Data
Practice!
Practice
Inferences and Conclusions from Data
HOMEWORK – z score practice
Inferences and Conclusions from Data
Glossary
Population Mean – average value for the parameter of the WHOLE population.
Expressed as “
“
Population Proportion – point estimate (single value) or as an interval (range of values)
Ex: 80% of residents prefer “A” or 75% to 85% of residents prefer “A”
“Sample Estimate”
Margin of Error – because population proportion is only an estimate of the mu, we need to know how goof
our estimate actually is. This has to do with sample size, sample standard deviation, and sample proportion
generally these are done with a 95% confidence interval. In other words if 95/100 sample surveys
were taken our result would be within our interval.
Confidence interval: sample estimate ±𝑚𝑎𝑟𝑔𝑖𝑛 𝑜𝑓 𝑒𝑟𝑟𝑜𝑟.
Inferences and Conclusions from Data
Margin of Error – What is it?
Video – Part 1
Part 2
Part 3
Inferences and Conclusions from Data
Margin of Error Practice
Inferences and Conclusions from Data