The weights of mature male Tasmanian
Devils are normally distributed with a mean of 11kg and standard deviation of
0.8kg. Use this information to answer the following questions. You
must show your working for these questions. You can type the formulae for your
answers on one line, for example: z=(y-m)/s or z=(y-bar-m)/(s/Ön), or, if you are a more confident Word user you can use
the equation editor in Word to form your equations. Alternatively, you can
include your (neat!) hand-written equations (and diagrams if you wish) by
photographing them so that you have the images saved as picture files and then
pasting these into your solution.
conducting a study of Tasmanian Devils wants to determine the effects of weight
on overall health. He intends to sample
mature male Tasmanian Devils which weigh at least 10.5kg. If 100 mature male Tasmanian Devils are
selected at random, how many are expected to meet the requirement for his
breeding programme has been designed for mature male Tasmanian Devils. Only
those with weights among the heaviest 3% are to be included in the
programme. What is the lightest weight a
mature male Tasmanian Devil can have to be eligible for this breeding
The ideal body
weight for a mature, adult male Tasmanian Devil is between 10.2 kg and 12 kg.
Find the percentage of mature adult male Tasmanian Devils which are in the
ideal weight range.