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4) The weights in kilograms (kg) of wealthy adult female deer (doe) from Mesa Verde Park...

4) The weights in kilograms (kg) of wealthy adult female deer (doe) from Mesa Verde Park are normally distributed with a mean of 63 kg and a population standard deviation of 7.1kg.

a) What is the probability that a single doe captured at random weighs less than 54kg?

b) In a random sample of 50 doe are selected, what is the probability that a doe will weigh more than 65 kg?

c) If the probability is 0.1515 that a doe weighs more than X amount of kg, find the value of X.

d) It is thought that the deer in Yellowstone are larger than those in Mesa Verde. If a random sample of 36 doe from yellowstone has a mean weight of 65.5kg, find a 95% confidence interval for the mean weight of yellowstone doe. assume the population standard deviation is 7.1 kg.

e) Construct a hypothesis test to determine whether the yellowstone doe are larger than doe from mesa verde park. use a 1% level significance.

math   Statistics-And-Probability   
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