Question

In: Statistics and Probability

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and...

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α = 0.05.

Type of Ride
Roller Coaster Screaming Demon Log Flume
Method 1 43 50 50
45 42 46
Method 2 47 52 48
49 48 44

a) Find the value of the test statistic for method of loading and unloading.

Find the p-value for method of loading and unloading. (Round your answer to three decimal places.)

p-value =

b) Find the value of the test statistic for type of ride.

Find the p-value for type of ride. (Round your answer to three decimal places.)

p-value =

c) Find the value of the test statistic for interaction between method of loading and unloading and type of ride.

Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.)

p-value =

Solutions

Expert Solution

Excel: Data --> Data analysis -->Anova: Two-Factor With Replication

ANOVA
Source of Variation SS df MS F P-value F crit
Methods 12 1 12 1.2 0.315 5.987378
Type of Ride 8 2 4 0.4 0.687 5.143253
Interaction 24 2 12 1.2 0.364 5.143253
Within 60 6 10
Total 104 11

a) Find the value of the test statistic for method of loading and unloading = 1.2

Find the p-value for method of loading and unloading. (Round your answer to three decimal places.)

p-value = 0.315

b) Find the value of the test statistic for type of ride = 0.4

Find the p-value for type of ride. (Round your answer to three decimal places.)

p-value = 0.687

c) Find the value of the test statistic for interaction between method of loading and unloading and type of ride = 1.2

Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.)

p-value = 0.364


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