Download - Recap… We need to take spread into account when we give an interval for the population parameter
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Recap…
We need to take spread into account when we give an interval for the population parameter
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So far…
Population
Sample
Sample statistics
Population
parameterWhat we’re trying
to estimate
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So far…
Population
Sample
Sample statistics
What is the median
weights of kiwis?
What we’re trying to estimate
Take your sample of kiwis•Dot plot•Box plot•Sample statistics…
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So far…
Population
Sample
Sample statistics
Population
parameterWhat we’re trying
to estimate
Median weight of kiwis is somewhere between ___ and ___
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Samples of size ___ were reliable enough
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The median weight of kiwis was somewhere between ___ and ___(90% ish of our sample medians)
Distribution of sample medians…
2.2 2.4 2.6 2.8 3.0 3.2median
Measures from Sample of Kiw ipop Dot Plot
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We don’t get to take multiple samples so this process WON’T work We need to find an informal confidence interval for the population median based ON A SINGLE SAMPLE
However in real life …
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To take into account both•Sample size and•spread
Our informal interval needs…
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For your sample of kiwis:•Dot plot•Box plot•Median
More kiwis…
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Add your SAMPLE MEDIANS TO THE SHEET
Then
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Add your IQR (box) TO THE SHEET
Student worksheet
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Complete Q3 – Q5 on the worksheet
Student worksheet
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Q3: I notice that the width of the IQR for sample medians when the sample size is 30 is approximately of the width of the population IQR
WIDTH 0.507 kg-ish(67 mm)
WIDTH 0.095 kg-ish(11 mm)
1/5
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Q4: I notice that the width of the IQR for sample medians when the sample size is 400 is approximately __________ of the width of the population IQR
WIDTH 0.025 kg-ish(3.5 mm)
WIDTH 0.507 kg-ish(67 mm)
1/20
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Q5: Relationship between the width of the IQR for sample medians of sample size n and the population IR and the sample size… IQR for sample medians (sample size = n) is
approximately of the population IQR
When n = 400 the IQR of the sample medians is approximately ________________ of population IQR
When n = 30 the IQR of the sample medians is approximately ________________ of population IQR
n1