An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives. The engineer studies a random sample of 12 tomato plants grown using Addl and random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table. Yields (in number of tomatoes) 162,168,175,167,181,180,187,171,167,191,166,172 178,185,185, 227,145, 202, 218, 211,156,164,173,194,166 ' Send data to calculator V l X: Send data to Excel ' Assume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.10 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Addl and the population mean of the yields of tomato plants grown with Add2? 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 H0 and the alternate hypothesis H1. H0 :l] H1 :1] (b) Determine the type of test statistic to use. (Chooseone) V El=El ElSEI DZEI (c) Find the value of the test statistic. (Round to three or more decimal places.) III (d) Find the two critical values. (Round to three or more decimal places.) DandD (e) At the 0.10 level of significance, can the engineer conclude that there is a difference between the mean yield of tomato plants grown with Addl and the mean yield of tomato plants grown with AddZ? > DE| ElEI x63? OYes O No