How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following:93.0,109.4,88.2,114.5,83.0,103.2,110.7,128.9,62.8,97.9,94.7,92.5Mountain lion weights in Idaho are known to be normally distributed with an unknown mean ofμpounds and an unknown standard deviationσpounds. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the maximum likelihood estimate forσ2using this data. d) Calculate an unbiased estimate forσ2using this data. e) Calculate the sample median for this data. f) SupposeWhas atdistribution with 11 degrees of freedom. IfP(W>t)=.08then what ist? g) SupposeWhas atdistribution with 11 degrees of freedom. IfP(W