We love our kiwis
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We love our kiwis…. Introduction…. CLAIM Brenna says that female kiwis are taller than male kiwis. Problem. CLAIM Brenna says that female kiwis are taller than male kiwis. We will look at the height of kiwis to investigate this claim. Investigative question

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Presentation Transcript

Introduction
Introduction…

CLAIM

Brenna says that female kiwis are taller than male kiwis.


Problem
Problem

CLAIM

  • Brenna says that female kiwis are taller than male kiwis.

  • We will look at the height of kiwis to investigate this claim.

    Investigative question

  • I wonder if the median height of NZ kiwi females tends to be greater than the median height of NZ kiwi males?


Investigative question
Investigative question

Population parameter

  • I wonder if the median height of NZ kiwi females tends to be greater than the median height of NZ kiwi males

Variable of interest

Groups/sub-populations

Population


Plan

  • We will use a simple random sample of 30 female kiwis and 30 male kiwis from the database of NZ kiwis on [email protected]

    • Why have we chosen 30 of each gender?

  • From our SRS, we will calculate an informal confidence interval for the population median for female heights and an informal confidence interval for the population median for the male kiwi heights.


Plan

That is – we’ll calculate TWO informal confidence intervals

  • Females

  • Males


Data

  • I sampled for you

  • Have a look how…

  • http://www.censusatschool.org.nz



AnalysisSelect and use appropriate displays and measures.Construct the informal confidence intervals


AnalysisDiscuss sample distributions by comparing features of them. Compare - shape - overlap - shift - spread- middle 50%- unusual or interesting


Analysis examples of appropriate comparative statements
AnalysisExamples of appropriate comparative statements…


Conclusion inference
Conclusion - inference

  • From my informal confidence intervals, I am pretty sure that the population median height of NZ kiwi females is between ____ and ____.

  • Similarly, I’m pretty sure that the population median height of NZ kiwi males is between ____ and ____.


Conclusion
Conclusion

  • Based on these samples I would make the call that the population median height of NZ kiwi females is greater then the population median height of NZ kiwi males. That is, I would make the call that NZ kiwi females tend to be taller than NZ kiwi males back in the two populations.


Conclusion justification
Conclusion - justification

  • The informal confidence interval for the population median height of NZ kiwi females is (much) further up the scale than the informal confidence interval for the population median height of NZ kiwi males and these informal confidence intervals do not overlap.

  • I am quite sure that if I were to take another sample of NZ kiwi females and another sample of NZ kiwi males girls this non-overlapping pattern in confidence intervals for the population medians would persist, thus giving the same conclusion.


Conclusion1
Conclusion

Further thoughts…

  • What would happen if you took another sample and completed this process again?

  • What would happen if to the informal confidence intervals if you increased the sample size?


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