Lake Martin and Lake Fields are two large local lakes

Last updated: 1/5/2023

Lake Martin and Lake Fields are two large local lakes inhabited by white sturgeon A while back there was an environmental disaster at Lake Martin Debra is an ecologist who wants to see if the mean weight in kg of adult white sturgeon now living in Lake Martin is less than the mean weight in kg of adult white sturgeon now living in Lake Fields The ecologist catches a random sample of 10 adult white sturgeon at Lake Martin and a random sample of 12 adult white sturgeon at Lake Fields These samples are chosen independently Each fish has its weight in kg recorded These data are shown in the table Weights in kg Lake Martin sturgeon 73 5 78 2 80 6 86 4 72 4 71 1 85 1 81 8 79 0 79 7 Lake Fields sturgeon Send data to calculator 124 0 101 9 81 8 66 6 62 7 79 4 115 5 113 3 94 5 75 8 94 0 105 1 Assume that the two populations of weights are approximately normally distributed Can the ecologist conclude at the 0 05 level of significance that the population mean of the weights of adult white sturgeon now living in Lake Martin is less than the population mean of the weights of adult white sturgeon now living in Lake Fields Perform a one tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places If necessary consult a list of formulas a State the null hypothesis H and the alternate hypothesis H HO H 0 b Determine the type of test statistic to use Degrees of freedom 0 c Find the value of the test statistic Round to three or more decimal places 0 d Find the critical value Round to three or more decimal places e At the 0 05 level of significance can the ecologist conclude that the mean weight of adult white sturgeon now living in Lake Martin is less than the H x a S P Q 0 48 O 0 ORO 050 0 0 0 0 Est