0: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value M: Make a decision Since the p-value = v we accept H. S: State a conclustion . There is not significant evidence to conclude the mean length of all New Zealand rivers that flow into the Pacific Ocean V is less than V the length of a randomly selected New Zealand river that flows into the Tasman Sea v . Part B.)_CONFIDENCE INTERVAL N: Name the procedure 1-Proportion Z-Interval I: Interval estimate (round endpoints to 2 decimal place(s)) % confidence interval for N, - N, is ( km, km ) C: Conclusion in context . If your interval above contains 0, then we don't care about the interpretation since there was no significant difference in these means. In this case, just enter "0" for each of the endpoints below ( the program won't let you leave them blank). On your homework guide you should write "We don't interpret the interval when there is no evidence of a difference" . We are % confident that a randomly selected New Zealand river that flows into the Pacific Ocean is between km and km less than the mean length of all New Zealand rivers that flow into the Tasman Sea1. There were two measurements taken on the same object, so these samples are dependent 2. Is the value of oj known? Yes v Is the value of oz known? No v 3. Are there any outliers in data set 1? |No, the modified boxplot of this data set shows no outliers Are there any outliers in data set 2? |No, the modified boxplot of this data set shows no outliers v 4. n1 = which is ? Is it reasonable to assume that population 1 is normally distributed? Not necessary to check since the sample size is less than 30. v which is ? Is it reasonable to assume that population 2 is normally distributed? Not necessary to check since the sample size is at least 30. v N: Name the test The conditions are met to use a |Select an answer v. T: Test Statistic The symbol and value of the random variable on this problem are as follows: Round value to 2 decimal places Select an answer v] km Set up the formula of the test statistic with numbers rounded to 2 decimal place: 1 - 12 + - DIVE - 2/ () + ( * 2/ ))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 3% level. b) Compute a 94% confidence interval for the difference. Lengths of Rivers to Tasman Sea (in km) Lengths of Rivers to Pacific Ocean (in km) 49 97 66 188 35 171 105 163 90 138 64 95 56 192 62 140 85 80 48 56 76 209 77 90 72 64 64 111 38 50 72 99 56 147 108 121 62 64 56 209 80 122 82 122 64 72 74 64 82 161 51 145 37 169 40 68