Question

In: Statistics and Probability

ROLLER COASTER SCREAMING DEMON LONG FLUME METHOD 1 49 53 46 51 45 42 METHOD 2...

ROLLER COASTER SCREAMING DEMON LONG FLUME
METHOD 1 49 53 46
51 45 42
METHOD 2 50 49 48
52 45 44

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 . Factor A is method of loading and unloading; Factor B is the type of ride.

Type of Ride
Roller Coaster Screaming Demon Long Flume
Method 1 49 53 46
51 45 42
Method 2 50 49 48
52 45 44

Set up the ANOVA table (to whole number, but -value to 2 decimals and  value to 1 decimal, if necessary).

It limits what I can upload so I can't show you my output

Solutions

Expert Solution

This can be solved using excel<data<megastat<anova<two factor<Enter 2 replications

The output is as follows:

Two factor ANOVA
Factor 2
Means:
Roller Coaster Screaming Demon Long Flume
Method 1 50.0 49.0 44.0 47.7
Factor 1 Method 2 51.0 47.0 46.0 48.0
50.5 48.0 45.0 47.8
2 replications per cell
ANOVA table
Source SS    df MS F    p-value
Factor 1 0.33 1 0.333 0.03 .8611
Factor 2 60.67 2 30.333 3.03 .1229
Interaction 8.67 2 4.333 0.43 .6671
Error 60.00 6 10.000
Total 129.67 11

The table is as follows up to two decimal places:

Source SS    df MS F    p-value
Factor 1 0.33 1.00 0.33 0.03 0.86
Factor 2 60.67 2.00 30.33 3.03 0.12
Interaction 8.67 2.00 4.33 0.43 0.67
Error 60.00 6.00 10.00
Total 129.67 11.00

Please do the comment for any doubt or clarification. Please upvote if this helps you out. Thank You!


Related Solutions

Control 5 mg 10 mg 50 51 60 48 51 58 46 49 57 51 53...
Control 5 mg 10 mg 50 51 60 48 51 58 46 49 57 51 53 61 53 52 61 47 46 64 Above are the results of a drug trial. The scores are given for subjects in three different conditions – a placebo control, 5 mg and 10 mg of the drug. Please run the appropriate test in SPSS using p-value or traditional hypothesis testing method and choose the alpha or p-value. If the results are statistically significant, please...
find the equation of the regression line X 44 49 48 45 53 51 Y 108...
find the equation of the regression line X 44 49 48 45 53 51 Y 108 134 117 124 127 118 using Ti84 calculator
Data set 87 52 57 51 85 53 46 72 42 83 41 33 98 48...
Data set 87 52 57 51 85 53 46 72 42 83 41 33 98 48 35 87 46 60 75 36 62 32 35 54 27 47 43 86 63 70 39 48 39 32 74 73 67 44 82 89 23 34 38 46 92 44 57 88 49 28 58 40 21 29 42 49 60 26 86 58. For the given data set, create a frequency distribution with 7 classes. on separate page(s), provide answers for...
7. Assume a population of 46​, 51​, 53​, and 59. Assume that samples of size n=2...
7. Assume a population of 46​, 51​, 53​, and 59. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts ​(a​) through (c​). Sample x1        x2 1          46        46 2          46        51 3          46        53 4          46        59 5          51        46 6          51        51 7          51        53 8          51        59 9          53        46 10        53        51 11        53        53 12        53        59 13        59        46 14        59       ...
Group A: 60, 57, 53, 42, 44, 48, 54, 39, 52, 45 Group B: 50, 49,...
Group A: 60, 57, 53, 42, 44, 48, 54, 39, 52, 45 Group B: 50, 49, 60, 55, 43, 56, 53, 69, 49, 52 Using Wilcoxen Rank Sum test to test a difference in the medians of the two populations using Alpha= 0.05
2. The following represents 50 test scores on an exam. 49, 48, 51, 50, 53, 52,...
2. The following represents 50 test scores on an exam. 49, 48, 51, 50, 53, 52, 55, 54, 57, 56, 59, 58, 61, 60, 63, 62, 65, 64, 67, 66, 69, 68, 71, 70, 73, 72, 75, 74, 77, 76, 79, 78, 81, 80, 83, 82, 85, 84, 87, 86, 89, 88, 91, 90, 93, 92, 95, 94, 97, 96 Find the position of the median Find the 67th percentile
The Twister Roller Coaster always has a long line of thrill seekers waiting to take a...
The Twister Roller Coaster always has a long line of thrill seekers waiting to take a ride on it. A random sample of 60 riders waited in line a mean time of 42 minutes with a standard deviation of 12 minutes. Find a 90% confidence interval for the population mean waiting time in the Twister line.
1) A roller coaster car on the leveled portion of a track is moving at a...
1) A roller coaster car on the leveled portion of a track is moving at a speed of 35 m/s, heading toward a hump. Based on the principle of conservation of energy, predict what is the velocity of the car on the top of the hump if the lost of energy due to friction and air resistance is negligiable. The highest point of the hump is 14 above the leveled track.
1. If a roller coaster has a total of 6396 Joules of energy at the top...
1. If a roller coaster has a total of 6396 Joules of energy at the top of a hill, then at the bottom of the hill how much total energy will it have. (assume: no brakes, no motor, no air resistance, no external forces) Hint: use conservation of energy! Question 2 If a roller coaster begins at rest at the top of a 20 meter hill, then at the bottom of the hill how fast will it be going? Hint:...
Population 1   Population 2 51   54 57   51 65   67 68   60 53   58 58   61...
Population 1   Population 2 51   54 57   51 65   67 68   60 53   58 58   61 75   66 72   79 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.1 for the test. Assume that both populations are normally distributed. Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Find the value...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT