Question 1.

These data are observations collected using a completely randomized design. Sample 1 Sample 2 Sample 3 3 5 2 3 HNON 4 5 3 N N (a) Calculate CM and Total SS. (Round your answer for CM to six decimal places and your Total SS to four decimal places.) CM = Total SS = (b) Calculate SST and MST. (Round your answers to four decimal places.) SST = MST = (c) Calculate SSE and MSE. (Round your answers to four decimal places.) SSE = MSE = (d) Construct an ANOVA table for the data. (Round your answer for F to two decimal places. Round your answers for SS and MS to four decimal places.) Source df SS MS F Treatments ErrorWater samples were taken at four different locations in a river to determine whether the quantity of dissolved oxygen, a measure of water pollution, varied from one location to another. Locations 1 and 2 were selected above an industrial plant, one near the shore and the other in midstream; location 3 was adjacent to the industrial water discharge for the plant; and location 4 was slightly downrivei in midstream. Fi water spemmens were randomly selected at each location, but one specimen, corresponding to location 4, was lost in the laboratOiy. The data and a MINITAB analysis of variance computer printout are provide here (the greater the pollution, the lower the dissolved oxygen readings) Location Mean Dissolved Oxygen Content 1 5 9 6.1 6.3 6.1 6.0 2 6 4 6.6 6.5 6.5 6.5 3 4.8 4.4 5.0 4.7 5.2 4 6 1 6.2 6.1 5.8 MINJTAB output One-way ANOVA:0xygen versus Location Source DF SS MS F E Locacion 3 7.8411. 2.6138 69.27 Error 15 0.566'.' 0.0377 Total 15 E. 4074 S :ii1943 : 91.92% Level N 1 5 2 5 3 5 L, A, Poole-:1 StDev (a) Do the data provide sufficient evidence to indicate a difference in the mean dissolved oxygen contents f0i the four locations? 0 Yes, there is sufficient evidence to indicate a difference in the mean dissolved oxygen contents for the four locations. O No, there is not sufficient evidence to indicate a difference in the mean dissolved oxygen contents for the four locations. (in) Compare the mean dissolved oxygen content in midstream above the plant with the mean content adjacent to the plant (location 2 versus location 3). Use a 95% confidence interval. (Rou hd your answers to three decimal places) |:|t|:|