n 4 = 0.05 a = 0.01 n a = 0.05 a = 0.01 n a = 0.05

n 10 11 12 u = 005 095 0.88 0.81 0.75 0.71 0.67 0.63 0.60 0.58 u = 001 100 099 096 092 087 083 OBO 0.76 0.73 0.71 n 13 14 15 16 17 18 19 20 21 22 = 0.05 0.53 0.53 0.51 0.50 0.48 0.47 0.46 0.44 0.43 0.42 0.68 0.66 0.64 0.61 0.61 0.59 0.58 0.56 0.55 0.54 23 24 25 26 27 28 29 30 u = 0.05 0.41 0.40 0.40 0.39 038 0.37 0.37 036 u = 0.01 0.53 0.52 0.51 0.50 0.49 0.48 0.47 0.46 (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of Irl large enough to conclude that weight and age of Shetland ponies are correlated? Use a = 0.05. (Round your answer for r to four decimal places.) 60 critical r Conclusion 95 12 140 24 172 20 178 O Reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated. Reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated. Fail to reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated. Fail to reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated. (b) Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of Irl large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use a = 0.01. (Round your answer for r to four decimal places.) x 1004 40 critical r 975 100 992 65 935 145 988 70 926 154