The length (in km) of a random sample of New Zealand (NZ) rivers that travel to the Pacific Ocean and the lengths (in km) of a random sample of New Zealand rivers that travel to the Tasman Sea are given in the table below. 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? a) Test at the 5% level. b) Compute a 90% confidence interval for the difference. Lengths of Rivers to Pacific Ocean (in km) Lengths of Rivers to Tasman Sea (in km) 188 51 97 56 111 48 90 49 209 105 138 37 66 76 171 54 163 40 64 64 95 80 147 80 56 77 161 85 209 66 64 56 97 82 192 64 169 64 72 74 122 72 99 108 50 90 80 35 145 72 121 62 140 82 64 62 90Part A.) HYPOTHESIS TEST P: Parameter What is the correct parameter symbol and wording for population 1? Select an answer v Sel Select an answer parameter symbol and wording for population 2? 1 XZ Sel n1 H: | ud p1Part A.) HYPOTHESIS TEST P: Parameter What is the correct parameter symbol and wording for population 1? Select an answer v Select an answer Select an answer 28 randomly selected New Zealand rivers that flow into the Pacific Ocean the mean length of 28 randomly selected New Zealand rivers that flow into the Pacific Ocean a randomly selected New Zealand river that flows into the Pacific Ocean the mean length of all New Zealand rivers that flow into the Pacific Ocean the length of a randomly selected New Zealand river that flows into the Pacific OceanWhat is the correct parameter symbol and wording for population 2? Select an answer v = Se Select an answer N2 H: I [52 Dz answer v [:] km n2 Inswer v C] km What is the correct parameter symbol and wording for population 2? Select an answer v = Select an answer Select an answer 29 randomly selected New Zealand rivers that flow into the Tasman Sea a randomly selected New Zealand river that flows into the Tasman Sea the mean length of all New Zealand rivers that flow into the Tasman Sea the length of a randomly selected New Zealand river that flows into the Tasman Sea the mean length of 29 randomly selected New Zealand rivers that flow into the Tasman SeaH: Hypotheses Ho : Select an answer V V km Select an answer d HA : km P1 - p2 ? v P1 - P2 n1 - n2 A: Assumptil - N2 X1 - X2 Since Se J1 - 2 formation was colleH: Hypotheses Ho : Select an answer V ? V km ? 10 and x2 > 10 On1 - x1 2 10 and n2 - X2 2 10 On > 20n1 and n2 2 20n2 O The samples are independent O The samples are dependent Normal population of differences or at least 30 pairs of data Normal populations or n1 2 30 and n2 2 30 no outliers in the differences no outliers for each group Oo is unknown for each group Do is known for each groupCheck those assumptions: 1. There Select an answer v two measurements taken on the same object, so these samples are Select an an Select an answer were not 2. Is the \\were L ? v Check those assumptions: 1. There Select an answer v two measurements taken on the same object, so these samples are Select an answer v Select an answer dependent f o1 known? ? independent2. Is the value of of known? ? ? Is the value of o, known? Yes No Are thatA +Is the value of o, known? ? Are there any outliers in d No Yes Are there any outliers in dara set ?3. Are there any outliers in data set 1? Select an answer Select an answer Are there any outliers in data set 2? No, the modified boxplot of the differences shows no outliers No, the modified boxplot of this data set shows no outliers 4. nj= which is ? v Yes, the modified boxplot of the differences shows outliers Yes, the modified boxplot of this data set shows outliers Yes, the normal probability plot of this data set shows outliers Is it reasonable to assume that POP! No, the normal probability plot of this data set shows no outliers select an answer Yes, the histogram of this data set shows outliers No, the histogram of this data set shows no outliersAre there any outliers in data set 2? Select an answer Select an answer n1 = which is ? v No, the modified boxplot of the differences shows no outliers No, the modified boxplot of this data set shows no outliers Yes, the modified boxplot of the differences shows outliers Is it reasonable to assume that POPU Yes, the modified boxplot of this data set shows outliers ct an answer Yes, the normal probability plot of this data set shows outliers No, the normal probability plot of this data set shows no outliers n2 = which is ? v Yes, the histogram of this data set shows outliers No, the histogram of this data set shows no outliers4. n1 which is ? ? Is it reasonable to assum