20 pts Below are the records on the weights of adult grey wo

(20 pts) Below are the records on the weights of adult grey wolves from two regions in the Soutwest: Chihuahua Region Grey Wolf Weights 86 75 91 70 79 80 68 71 74 64 Durango Region Grey Wolf Weights 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 Find an 85% confidence interval for the mean weights of the two Southwest Regions (15 pts) What does this mean when comparing the mean weight of grey wolves from the two regions (10 pts)

Solution

for Chihuahua Region Grey Wolf Weights

mean = (86 +75 +91+ 70 +79 +80+ 68+ 71 +74 +64 ) / 10 = 75.8

std dev = 8.324

85 % CI = ( 75.8 -1.44 * 8.324 /sqrt(10) , 75.8 +1.44 * 8.324 /sqrt(10)) = ( 72 ,79.59 )

for Durango Region Grey Wolf Weights

mean = 66.83

std dev = 8.866

85 % CI = ( 66.83 -1.44 * 8.866 /sqrt(18) , 66.83+1.44 * 8.866 /sqrt(18)) = (63.82 ,69.84 )