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Two-factor ANOVA to investigate the relationships that worker and extraction machine type might have with CBD content for the 56 batches of oil. In Excel,

Two-factor ANOVA to investigate the relationships that worker and extraction machine type might have with CBD content for the 56 batches of oil. In Excel, via the "Data - Data Analysis - ANOVA: Two factor with replication" feature after you re-arrange the data on the spreadsheet.

a) Include the ANOVA results table in your assignment; do not include the large data summary above it that Excel also produces. Adjust the formatting to make the table more readable.

b) Briefly interpret the ANOVA table's three p values. Which relationships were statistically significant and which ones were not?

c) Build an interaction plot that displays the average CBD yield for each combination of machine and time. (It should display either 2 or 4 lines.)

d) Which combination of worker and machine had the highest yield? e) Describe the design of this experiment: What was the response? What were the factors and how many levels did each one have? How many treatment combinations were there? How many groups, replications, and runs were used?

Here is the excel data. If possible, please show the working also and what is the sample and input range in the ANOVA table.

For ANOVA
Yield vs Machine & Operator
grams
Machine Operator CBD
CO2 Alex 81.71
CO2 Chris 79.14
CO2 Farah 78.37
CO2 Min 77.57
Ethanol Alex 82.53
Ethanol Chris 81.45
Ethanol Farah 86.08
Ethanol Min 86.76
CO2 Alex 81.38
CO2 Chris 82.99
CO2 Farah 81.67
CO2 Min 80.13
Ethanol Alex 81.54
Ethanol Chris 82.04
Ethanol Farah 86.26
Ethanol Min 89.33
CO2 Alex 82.40
CO2 Chris 81.01
CO2 Farah 79.41
CO2 Min 76.40
Ethanol Alex 85.09
Ethanol Chris 84.42
Ethanol Farah 85.88
Ethanol Min 88.85
CO2 Alex 85.82
CO2 Chris 80.17
CO2 Farah 78.97
CO2 Min 76.07
Ethanol Alex 85.37
Ethanol Chris 84.41
Ethanol Farah 87.91
Ethanol Min 83.66
CO2 Alex 84.81
CO2 Chris 82.65
CO2 Farah 83.30
CO2 Min 78.76
Ethanol Alex 82.98
Ethanol Chris 84.99
Ethanol Farah 84.51
Ethanol Min 84.44
CO2 Alex 82.40
CO2 Chris 80.68
CO2 Farah 77.55
CO2 Min 77.34
Ethanol Alex 82.09
Ethanol Chris 87.11
Ethanol Farah 86.36
Ethanol Min 90.88
CO2 Alex 82.73
CO2 Chris 82.28
CO2 Farah 80.85
CO2 Min 77.28
Ethanol Alex 82.27
Ethanol Chris 84.97
Ethanol Farah 85.56
Ethanol Min 86.09

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