Question

1. Brad Pitt conducts a study comparing average numbers of people who are eaten by zombies. Do zombies prefer healthy people, people with an autoimmune disease, or people with cancer? He (carefully) observes several roving bands of zombies and collects the following data:
   

	Healthy	Autoimmune	Cancer
Number of People Eaten	59	22	25
	48	23	30
	61	19	29

Complete the ANOVA Table below (please use the back of this page for your manual calculations – SHOW YOUR WORK!!), and below the ANOVA Table, write your conclusion and interpretation of the results of your ANOVA test.

ANOVA Table:

Source of Variation	SS	df	MS	F statistic
Between Samples
Within Samples
Total			(leave blank)

Critical F (F_c):

Conclusion & Interpretation:

Answer 1

From the data values,

	Healthy	Autoimmune	Cancer
	59	22	25
	48	23	30
	61	19	29
	168	64	84
	56	21.333	28
	9506	1374	2366
SD	7	2.082	2.646
	98	8.666667	14
n	3	3	3

Where, 'i' represent rows and 'j' represents column

The degree of freedom values are,

The sum of square values are,

Where,

The means squares are computed using the formula,

The F-statistic values is obtained using the formula,

The F-critical value

The F-critical value is obtained from F-distribution table for significance level = 0.05, numerator degree of freedom = 2 and denominator degree of freedom = 6

Conclusion,

Since,

The null hypothesis is rejected, hence we can conclude that there is a significant difference in mean number of people eaten by zombies.

The ANOVA table is shown below,

ANOVA
Source of Variation	SS	df	MS	F	F crit
Between Groups	2030.222	2	1015.111	50.47514	5.143253
Within Groups	120.6667	6	20.11111
Total	2150.889	8