Question

11.13 A pet food company has a business objective of expanding its product line beyond its current kidney and shrimp based cat foods. The company developed two new products, one based on chicken liver and the other based on salmon. The company conducted an experiment to compare the two new products with its two existing ones, as well as generic beef-based product sold at a supermarket chain. For the experiment, a sample of 50 cats from the population at a local animal shelter was selected. Ten cats were randomly assigned to each of the five products being tested. Each of the cats was presented with 3 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10 minute time interval that began when the filled dished was presented. The results for this experiment are summarized in the file CatFood.

a. At the 0.05 level of significance, is there evidence of a difference in the mean amount of food eaten among the various products?

b. At the 0.05 level of significance, is there evidence of a difference in the variation in the amount of food eaten among the various products?

c. If appropriate, determine which products appear to differ significantly in the mean amount of food eaten.

Kidney	Shrimp	Chicken Liver	Salmon	Beef
2.37	2.26	2.29	1.79	2.09
2.62	2.69	2.23	2.33	1.87
2.31	2.25	2.41	1.96	1.67
2.47	2.45	2.68	2.05	1.64
2.59	2.34	2.25	2.26	2.16
2.62	2.37	2.17	2.24	1.75
2.34	2.22	2.37	1.96	1.18
2.47	2.56	2.26	1.58	1.92
2.45	2.36	2.45	2.18	1.32
2.32	2.59	2.57	1.93	1.94

Answer 1

meow Isign solution + (A) Moc Al means are equal -HaAt least one means is different Anone table Dependent variable food | TypeII Su at F Source of square Square Type 3.159 | 4. 0:915 120.805 .000 Il exbrt 19978 | 45 -0.044 Il Tore H248.298|50 I.corrected I Total 5-627 49 la R?=0.649 (Adjusted R2 = 0.618) Since probere is almost on null Type thesis I is rejected. There is evidence of a difference in the mean amount of food eaten among the various problucts. Ho: All varances are equal Ho: At least one variance is diffent. Levene's test of Equality of Error variance

Dependent variable Food 2.339 0-069 II Test the null hype thesis that the enor variared of the dependent variable is eqreal across groups (9.) _Desigh ! Interceptit type Since p-value is o.o69, nell hypothesis cens't be rejected There is no different in of food evidence variation eaten of significant in among

1 Turkey's HSD post Hoc test output iso Multiple comparisons A tal error sigo Lower Band upland! Mean Beef chickeen _-6140| •09347_ .000|-8804 | Liver bidweez - 7020 0.0937- Salman -:2780 10-09371 Shoines |--6550 10.09377 800 19684-4356 041-5409 [10076 0.900 --9214 -3886 chicken Beef L-6140_0.09371 O.ozó + 3476.8804 Itiner Kidney F 0880 10.09377. 0-880 -3544 0984 -.3400 10.09377 02 .0736.6064 IShaina 0410 10.09377 .992 | - 3874 • 2254 Kidney Beeh .7020 (0.09371 .000 ac lines .0880 1.093771_.880 salmon •4280 .09377 | Shrine L.0470 -09377 0987 .4356 -9684 .1784_103346 L1616 .6949 -2194.3134 240 09377 2. •0411.0076 5604 -63 400 .09377 006 -60kg --00736 I Kichien --4280.09377 -6944 -:116 Ishoy -.3810/0.093774002 6474 4:1146_N Susie 1.920 Reed 1.6550 1.092771 000 13884 Color _0410 .09377|1921-2256 Relney -0.0470109377 | -987 |- .3134 salmon .3810 1.09377 .002 01146 •3074 .2194 •6474

Besed on oblerned meant The enor tem is meam Square (error _ = 0.044 I 'The mean difference is significant I at the .05 lovel If p-value is less than 0.05, then the tuo pairs differ in mean Theest Beef and Sabien Shebbes from all other products lénile chicken liven, Shrinal and hi олон Олоци Sамли малл — - Answered

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