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Hi, I am having a lot of trouble trying to understand and work through this question: Question 5 ['33 marks) 011 3rd March, 1991. the

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Hi, I am having a lot of trouble trying to understand and work through this question:

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Question 5 ['33 marks) 011 3rd March, 1991. the glass window at the front of a pharmacy in Hamilton, New Zealand was smashed. and thousands of dollars worth of drugs and prescription medicines were stolen. The police subsequently apprehended two suspects. Glass fragments were found in the clothing of one suspect. The refractive index {RI} of each piece1 and the His of small pieces of glass subsequently taken from the remnants of the window. and the data are stored in A2Q5data.csv. [MUTE It is suggested that you look at the le so that you know the format of the data before you import it into R Commander] a} bl c} d} e} a} Show the data in a structure that allows it to he readily analysed using H Commander. [1 mark] State the null and alternative hypotheses {i.e. Hg and H1) that you will test by writing as and on. for the mean HIE of the populations from which the samples of glass on the suspect's clothing and from the window came. Explain why you chose Hg and H1 in the way that you did (e.g.. why did you choose a hypothesis to be Hg. and not H1?) [3 marks] It is proposed to perform a pooled t-test at the 5% level of signicance on the data. State all assumptions that this test makes about the data that are in the two samples. [3 marks] lEheck whether the assumptions specied in part c} are satised. State your conclusions clearly. You can produce and use B. Commander output to support your conclusions. [E| marks] Use an appropriate test to test the hypotheses specied in part b}. Use H Commander to perform this test {i.e. no marks will he given for hand calculations). [NUTEz Restate the hypotheses from the part b}? but you do not have to justify your choicm of these hypotheses again.] [41 marks] If the student wants to summarise the working in parts b] to e} in a brief statistical report in less than Sill] words which states the research question, the analytic process followed, the results and the conclusion, then {i} What would the student report to a specialist scientic audience wanting to know about the equality of the mean Rls on the suspects clothing and from the window? [Remember to mention any relevant numerical ndings to your specialist audience] [El marks] ii What would the research student re ort to a non-s ecialist audience wanti to know P P 11g about the equality of the mean Rls on the suspects clothing and from the window? [Remember to avoid any technicalfnumerical ndings to your non-specialist audience] ['3 marks] A. colleague suggests to you that a more precise test- would be performed if you simply discarded the last RI reading from the Suspect data and then performed a paired t-test; i.e., you calculate the ten differences 'suspect - window' and perform a one-sample t-test on these data. Do you ages with this suggestion? Answer yes or no... and give statistical reasons for your answer. [No remons, no marks!) [3 marks]

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