Question

eloading methods An amusement park studied metheds for decreasing the waiting tine (minutes) ror rides by loading and unloading riders more eficiently. Two aternative loadingun have been proposed. To account for potential differences due to the type of ride and the possible interaction bet er the method or loading and unloadin ard the type or ride, a ractorial e periment as dei ned use the followin9 data to test for any si nidant errect due to the 1 adin9 and unloadin nethod the type or ride, ard interaction. Use α- 05 Fa tor Ais method of load g and unloading: Factor is the type of ride 9 deta to tess Type of Ride Roller Coaster Screarning Demo 51 43 n Long Flume 48 45 51 46 42 a Set up the ANOVA table (to 2 decimal, if necessary). Round p-value to four decimal places Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor B Eroe Total ts The p-value ror Factor Ais(Select with respect to Factor A? c. The p-value for Factor B iSelect What is your condusion with respect to Factor B? d The p-value for the interaction of factors A and B is Select r conclusion with t t to the interaction of Factors A and 3 recomemendation to the amusement

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Answer #1

applying two way ANOVA on above data:

Source of Variation SS df MS F P-value
factor A 12.00 1 12.00 1.20 0.3153
factor B 18.67 2 9.33 0.93 0.4437
Interaction 56.00 2 28.00 2.80 0.1384
error 60.00 6 10.00
Total 146.67 11

b)

p value >0.10

factor A is not significant

c)

p value >0.10

factor B is not significant

d)

p value >0.10

interaction is not significant

e)

any of the two methods can be chosen

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