A consumer preference study compares the effects of three different bottle designs (A,B, andC) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. The data obtained are displayed in the following table.
.,,_. L: -l'.:1 . L . i :-: Connect eztomheducatlomcom _ '. Updates Available ' ' Do you want to rc-van to ins-tall Ines-(- - YouTube a\" Maul: updates now or try tonight? Assignment #3 0 Saved Help Save]. em Submit w A consumer preference study compares the effects ofthree different bottle designs (A. B. and C} on sales of a popular fabric softener. A completely randomized design is employed. Specically. 15 supermarkets of equal sales potential are selected. and 5 ofthese supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. 15 The data obtained are displayed in the following table. points Bottle Design Study Data a a c Skl We\" 16. 30 21 14 29 21 14 J 1 22 eBook 19 33 24 15 13 26 Hint PW\" The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. Rufurcncns 5mm! Group: Count: Sum Average Varianc- Design .4 5 72 15.6 4.3 Design B 5 156 31.2 3.2 Design c 5 114 22.0 4.7 move Source of Variation 55 [6 MS 1' PValua ! crif. Between Groups 609.6000 2 304.0000 74.95 1.663-07 3.83529 within Groups 43.3 12.0 4.0670 000 Total 653 (a) Test the null hypothesis that 0A, 343, and #9 are equal by setting a = .05. Based on this test. can we conclude that bottle designs A, B, and C have different effects on mean daily sales? (Round your answers to 2 decimal places.) rs): 1 0f 10 mm > POLdoc 5 Connect Brightspace/D2L: Middle Georg X Connect Course Hero ezto.mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.co Updates Available Restart Do you want to restart to install these ili Apps M Gmail ) YouTube Maps updates now or try tonight? Later Assignment #3 i Saved Help Save & Exit Submit Check my work (a) Test the null hypothesis that MA, up, and uc are equal by setting a = .05. Based on this test, can we conclude that bottle designs A, B, and C have different effects on mean daily sales? (Round your answers to 2 decimal places.) 1.5 points F = 74.95 p-value = More than 0.05 Skipped Reject HO: bottle design does : have an impact on sales. eBook Hint Print References (b) Consider the pairwise differences ug - MAN UC - MA, and uc - Ag. Find a point estimate of and a Tukey simultaneous 95 percent confidence interval for each pairwise difference. Interpret the results in practical terms. Which bottle design maximizes mean daily sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Point estimate Confidence interval HB -HA HC -JA: UC -HB: Mc Graw Hill BottleDes.xIsx PQ1.doc Show All X5 Connect Brightspace/D2L: Middle Georg X Connect Course Hero ezto.mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.co Updates Available Restart Do you want to restart to install these ili Apps M Gmail ) YouTube Maps updates now or try tonight? Later Assignment #3 i Saved Help Save & Exit Submit Check my work (b) Consider the pairwise differences us - HA, UC - HA, and uc - AB. Find a point estimate of and a Tukey simultaneous 95 percent confidence interval for each pairwise difference. Interpret the results in practical terms. Which bottle design maximizes mean daily sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) 1.5 points Point estimate Confidence interval Skipped JB -JA PC -JA: -UB: eBook Hint Print References Bottle design maximizes sales Graw Hill BottleDes.xIsx PQ1.doc Show All X5 Connect Brightspace/D2L: Middle Georg X Connect Course Hero ezto.mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.co Updates Available Restart Do you want to restart to install these ili Apps M Gmail ) YouTube Maps updates now or try tonight? Later Assignment #3 i Saved Help Save & Exit Submit Check my work Bottle design maximizes sales. 1.5 points Skipped eBook Hint Print References (c) Find a 95 percent confidence interval for each of the treatment means #4, #3, and uc. Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval JA: [ JB: UC: [ Graw Hill BottleDes.xIsx PQ1.doc Show All X
