Statistical Application (Workshop) Five field mice collected in Texas (HOOK EM\'
ID: 3366901 • Letter: S
Question
Statistical Application (Workshop) Five field mice collected in Texas (HOOK EM') had weights of 15.5g 10.3g, 11.7g, 17.9g and 14.1g. Five field mice collected in Michigan (GO BLUE!) had weights of 20.2g, 21.2g, 20.4g, 22.0g and 19.7g Derive the mean weight and the variance in weight for field mice from Texas and for field mice from Michigan (YOU DO NOT NEED A CALCULATOR TO DO THIS, WRITE DOWN HOW YOU WOULD DERIVE THE ANSWER-SHOW ME THE BASE FORMULA AND THE DERIVED FORMULA WITH THE NUMERICAL VARIABLES ENTERED). Hint: use the Table on the lecture slide as your guide...Explanation / Answer
Ans:
Mean weight and variance for feild mice from Texas:
Mean=69.5/5=13.9
Population variance=sqrt(36.4/5)=2.70
sample variance=sqrt(36.4/4)=3.02
Mean weight and variance for feild mice from Michigan:
Mean=103.5/5=20.7
Population variance=sqrt(3.28/5)=0.81
sample variance=sqrt(3.28/4)=0.91
wi (wi-13.9)^2 1 15.5 2.56 2 10.3 12.96 3 11.7 4.84 4 17.9 16 5 14.1 0.04 Total= 69.5 36.4 Mean 13.9