back to the kiwis…
DESCRIPTION
Back to the Kiwis…. Kiwi Kapers 2. The impact of sample size…. Problem. I wonder what the median weight of New Zealand kiwis is?. Using technology…. Remember we’re in TEACHING WORLD - in the ‘real world’ we wouldn’t be able to take lots and lots of samples to see what happens!. - PowerPoint PPT PresentationTRANSCRIPT
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Back to the Kiwis…
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The impact of sample size…Kiwi Kapers 2
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Problem
I wonder what the median weight of New Zealand kiwis is?
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Using technology…
Remember we’re in TEACHING WORLD - in the ‘real world’ we wouldn’t be able to take lots and lots of samples to see what happens!
Sampling kiwis Collecting the medians
from repeated sampling
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Your collection of medians...
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Analysis For each sample size:
A. I notice that the sample median weights of kiwis for samples of size ___ vary from ___ to ___
B. I notice that the bulk of the sample median weights of kiwis for samples of size ___ ranged from ___ to ___
C. I notice that the median for the sample median weight of kiwis for samples of size ___ is ___ and that the median for the sample IQR is ___
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AnalysisSample size
I notice that the sample median weights of kiwis for samples of size ___ vary from ___ to ___
I notice that the bulk of the sample median weights of kiwis for samples of size ___ ranged from ___ to ___
I notice that the median for the sample median weight of kiwis for samples of size ___ is ___ and that the IQR for the sample medians is ___
n=15 from ___ to ___ from ___ to ___ Median-median = ___IQR-median = ___
n=30 from ___ to ___ from ___ to ___ Median-median = ___IQR-median = ___
n=50 from ___ to ___ from ___ to ___ Median-median = ___IQR-median = ___
n=100 from ___ to ___ from ___ to ___ Median-median = ___IQR-median = ___
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Analysis
I notice that the variation of the median weights of kiwis ________ as the sample size _________.
For samples of size 15 the median weight ranged from ____ to ____, a difference of _____,
Whereas for samples of size 100 the median weight ranged from ____ to ____, a difference of ____.
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Question?
What do you think will happen to variation in the IQR of the samples as we increase the sample size?
12kiwipopsample2IQR
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ConclusionAs the sample size increases, • the variation of the medians __________• the variation of the IQRs _____________
What is a sensible and reliable sample size to use to make inferences about the population?
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Conclusion
Remember Our best point estimate of the
population parameter – the population median is our sample median The estimates vary, even with n = 100 It is better to provide a range of possible
values for the parameter, based on our estimate, rather than stating one value
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..\..\..\Pip\Animations_WILD\boxes_1samp_mem_30.pdf
Developing a reflex…
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We want to plant a reflex…
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Movies – one sample - summaryBox plot with memory…