DA assignment

Solution for question 1
Part B: Preliminary Analysis:
We have analysed all six claims made by Eagle boys and following are our analyses.
Claim 1: “Our pizzas are bigger than theirs”. Eagle boys deep pan, mid crust and thin crust BBQ Meatlovers, Super supremo and Hawaiin large pizzas are on an average 29.17 cm in diameter and Domino’s equivalent pizzas are on an average 27.44 cm in diameter.
Data Analysis: In order to camper average size of Eagle boy’s pizza with Domino’s Pizza we have used Box –Whisker Plot comparison of data. After analysing the data there are three mild outliers in Eagle boy’s data, so we have run Box –Plot on data including mild outliers and excluding mild outliers. Fig 1.1 (With Mild Outliers)

Fig 1.2 (Excluding Mild Outliers)

Fig 1.2 (Excluding Mild Outliers)
Result and Conclusion:
After analysing the data with Box Whisper plot of comparison, it is found that an average diameter of eagle boys large pizza is 29.174 cm and of dominos large pizza is 27.442 (including Outliers). There are three outliers in Eagle boys’ data (31.06, 30.67 and 26.58 cms), these three data points can significantly affect the overall average. Thus in order to test the claim systematically, these 3 pizzas are removed from the sample. Now the new average of Eagle boys pizzas is calculated to be 29.168 cms. Since 29.168 cms is extremely close to the claimed size of 29.17, it is concluded that claim 1 is true.
Claim 2: Eagle boys claim that they have “real size 12-inch large pizzas”
Data Analysis: In order to find whether Eagle boys has real-size 12 –inch pizza we have used we have used one variable summary (to see mean and median of Eagle boys pizzas) and Histogram to find out how many Eagle boys pizzas are greater than 12 inch.

Inches (Dominos)
Inches (EagleBoys)
One Variable Summary
Data Set #1
Data Set #1
Mean
10.8040
11.4860
Std. Dev.
0.4603
0.2466
Median
10.6024
11.4488
Minimum
10.0433
10.4646
Maximum
11.6772
12.2283