The length of New Zealand (NZ) rivers that travel to the Pacific Ocean are given in table #9.3.7 and the lengths of NZ rivers that travel to the Tasman Sea are given in table #9.3.8 ("Length of NZ," 2013).

• Do the data provide enough evidence to show on average that the rivers that travel to the Pacific Ocean are longer than the rivers that travel to the Tasman Sea? Use a 5% level of significance.
• Estimate the difference in mean lengths of rivers between rivers in NZ that travel to the Pacific Ocean and ones that travel to the Tasman Sea. Use a 95% confidence level.

Table #9.3.7: Length (in km) of NZ Rivers that Flow into the Pacific Ocean

209 48 169 138 64

97 161 95 145 90

121 80 56 64 209

64 72 288 322

Table #9.3.8: Length (in km) of NZ Rivers that Flow into the Tasman Sea

76 64 68 64 37 32

32 51 56 40 64 56

80 121 177 56 80 35

72 72 108 48