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. Method 1 Method 2 Roller Coaster 41 43 49 51 Type of Ride Screaming Demon 54 46 48 44 Log Flume Find the value of the test statistic for method of loading and unloading. 48 44 50 46 Find the p-value for method of loading and unloading. (Round your answer to three decimal places.) p-value = State your conclusion about method of loading and unloading. O Because the p-value ≤ α = 0.05, method of loading and unloading is significant. O Because the p-value ≤ α = 0.05, method of loading and unloading is not significant. O Because the p-value > a = 0.05, method of loading and unloading is significant. O Because the p-value > a = 0.05, method of loading and unloading is not significant. 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 =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The problems for interaction please. (The last 3) Thank you. 

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 a = 0.05.
Method 1
Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
54
46
48
44
Log Flume
Find the value of the test statistic for method of loading and unloading.
48
44
50
46
Find the p-value for method of loading and unloading. (Round your answer to three decimal places.)
p-value =
State your conclusion about method of loading and unloading.
Because the p-value ≤ α = 0.05, method of loading and unloading is significant.
Because the p-value ≤ α = 0.05, method of loading and unloading is not significant.
Because the p-value > a = 0.05, method of loading and unloading is significant.
Because the p-value > α = 0.05, method of loading and unloading is not significant.
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 =
Transcribed Image Text: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 a = 0.05. Method 1 Method 2 Roller Coaster 41 43 49 51 Type of Ride Screaming Demon 54 46 48 44 Log Flume Find the value of the test statistic for method of loading and unloading. 48 44 50 46 Find the p-value for method of loading and unloading. (Round your answer to three decimal places.) p-value = State your conclusion about method of loading and unloading. Because the p-value ≤ α = 0.05, method of loading and unloading is significant. Because the p-value ≤ α = 0.05, method of loading and unloading is not significant. Because the p-value > a = 0.05, method of loading and unloading is significant. Because the p-value > α = 0.05, method of loading and unloading is not significant. 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 =
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
State your conclusion about type of ride.
Because the p-value > a = 0.05, type of ride is not significant.
Because the p-value ≤ α =
0.05, type of ride is not significant.
Because the p-value > a = 0.05, type of ride is significant.
Because the p-value < α = 0.05, type of ride is significant.
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
=
State your conclusion about interaction between method of loading and unloading and type of ride.
Because the p-value > α = 0.05, interaction between method of loading and unloading and type of ride is significant.
Because the p-value > a = 0.05, interaction between method of loading and unloading and type of ride is not significant.
Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is significant.
Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is not significant.
Transcribed Image Text: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 State your conclusion about type of ride. Because the p-value > a = 0.05, type of ride is not significant. Because the p-value ≤ α = 0.05, type of ride is not significant. Because the p-value > a = 0.05, type of ride is significant. Because the p-value < α = 0.05, type of ride is significant. 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 = State your conclusion about interaction between method of loading and unloading and type of ride. Because the p-value > α = 0.05, interaction between method of loading and unloading and type of ride is significant. Because the p-value > a = 0.05, interaction between method of loading and unloading and type of ride is not significant. Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is significant. Because the p-value ≤ α = 0.05, interaction between method of loading and unloading and type of ride is not significant.
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