Question

Assume we are interested in the following events: this is everything that was given    A:...

  1. Assume we are interested in the following events: this is everything that was given

  

A: DCL > 260mm,      B: TL > 180cm.

     Use the data and the concept of probability as a relative frequency to estimate the probabilities (relative frequencies) of these two events and of the joint event: A and B. Are A and B independent events?

P(A) =

P(B) =

P(A and B) =

  1. Is this most accurately categorized as an observational or experimental study? Discuss how you would obtain a properly randomized sample of 50 such animals in the particular geographical region of New Guinea that forms their habitat.
  2. Perform a two Two-sided hypothesis test to determine. if DCL > 260mm and TL > 180cm at the alpha=0.05 level? Complete the hypothesis test in R. Use Quick-R for the code to complete the analysis. Report the null and alternative hypotheses. Complete the tests and state your conclusion.

    TL           DCL           Observation

    130           169           1

    102           154           2

    126           160           3

    230           290           4

    115           151           5

    150           209           6

    259           344           7

    130           183           8

    110           153           9

    130           183           10

    185           237           11

    215           288           12

    129           187           13

    149           189           14

    156           203           15

    100           143           16

    224           294           17

    234           318           18

    162           229           19

    217           299           20

    206           283           21

    144           198           22

    146           203           23

    166           229           24

    203           275           25

    205           266           26

    252           350           27

    238           318           28

    250           330           29

    255           351           30

    120           169           31

    250           332           32

    238           307           33

    157           205           34

    159           216           35

    202           261           36

    177           237           37

    221           288           38

    224           294           39

    167           232           40

    240           316           41

    207           268           42

    192           242           43

    180           248           44

    165           226           45

    197           267           46

    113           162           47

    131           183           48

    162           234           49

    246           310           50

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