A dietician is researching two new weight gain supplements that have just hit the market Ripped and Gainz She wants to determine if there is any difference between the two supplements in the mean amount of weight gained in kg by the people who take them The dietician tracks the total weight gain in kg over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz These samples are chosen independently These data are shown in the table Ripped Gainz Send data to calculator v Total weight gains in kg 10 4 9 4 12 0 7 4 14 9 8 7 13 4 12 8 11 2 7 5 8 2 8 8 14 2 9 4 8 8 9 1 10 8 10 9 9 1 9 5 8 5 8 2 9 3 11 4 8 7 9 0 Send data to Excel Assume that the two populations of weight gains are approximately normally distributed Can the dietician conclude at the 0 10 level of significance that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the weights gained by people taking Gainz Perform a two 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 0 H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places 0 d Find the two critical values Round to three or more decimal places and YRE NO e At the 0 10 level of significance can the dietician conclude that there is a difference between the mean weight gained by people taking Ripped and the mean weight gained by people taking Gainz H X 0 0 a X S Do 0 0 OSO 020 O O P 00 A 0 0 A M