6 2 Snowy tree crickets are insects that live in various states of the USA. Male snowy tree crickets make a noise called a chirp by rubbing their wings together. Thomas made a study of snowy tree crickets living in the wild in California. When he encountered a snowy tree cricket, he recorded the rate of the cricket’s chirp (X chirps per minute) and the air temperature (Y °C). His results are shown in Figure 3. Snowy tree cricket Rate of chirp x Air temperature y A 50 9.2 B 50 9.4 C 110 15.6 D 127 17.8 E 129 18.3 F 133 18.6 G 154 19.7 H 159 19.7 (Data source: Annals of the Entomological Society of America, 55(3), 303–322.) Figure 3 (a) Use the data in Figure 3 to calculate Pearson’s product moment correlation coefficient for rate of a snowy tree cricket’s chirp and air temperature. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (b) Conduct an appropriate hypothesis test using the value you calculated in part (a). You should make any necessary assumptions. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
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This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
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