# (2) Does the number of tadpole

(2) Does the number of tadpoles vary between the relativealtitudes at which the sites were located? If so, which of thealtitude level means are significantly different? . The mean numberof breeding ponds was found to be 48. The researcher wants to knowif the mean number of breeding ponds found in NSW is different fromthe mean number found in the Victorian surveys?

 Site Rain Temp Altitude Tadpoles Breeding 1 769.77 22.37 Low 97 61 2 664.85 19.46 Low 86 70 3 807.13 23.17 Low 104 61 4 620.05 17.85 Low 117 113 5 673.21 20.29 Low 98 92 6 734.18 20.58 Low 88 100 7 526.62 16.29 Low 95 102 8 647.86 18.51 Low 38 66 9 672.3 20.13 Low 64 64 10 666.67 18.91 Low 57 18

breeding data-

 61 70 61 113 92 100 102 66 64 18

Ho :   µ =   48             Ha :   µ ╪   48      (Two tail test)                           Level of Significance ,    α =   0.050             sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) )=   27.7971             Sample Size ,   n =    10             Sample Mean,    x̅ = ΣX/n =   74.7000                                  degree of freedom=   DF=n-1=   9                                  Standard Error , SE = s/√n =   27.7971   / √   10   =   8.7902  t-test statistic= (x̅ – µ )/SE = (   74.700  –   48   ) /    8.7902   =3.037                       p-Value   =   0.0141   [Excel formula=t.dist(t-stat,df) ]         Decision:   p-value<α = 0.05 , Reject null hypothesis                 Conclusion: There is enough evidence to conclude that  mean number of breeding ponds found in NSW is differentfrom the mean number found in the Victorian survey

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