A survey asked subjects to choose a number from 1 to 9 to ex

A survey asked subjects to choose a number from 1 to 9 to explain their feelings toward eating meat in response to the prompt: \"Eating meat is....\" Three independent random samples of 10 ethics professors, 10 philosophy professors not specializing in ethics, and 10 professors in other disciplines were taken, with the results shown in the accompanying table. Assume the population of each type of professor satisfies the Normal condition for ANOVA. Test the hypothesis that the mean response is different for different groups of professors, reporting F-statistic, the p-value, and the conclusion in context. Use a significance level of alpha = 0.05. Click the icon for the survey scale and data. Let muEth, muphile, and muOth represent the mean ethic: Determine the correct null and alternative hypot H0: At least one of the means is different. Hx muEth = muPhil= muOth Ho: muEth muPhil muOth Ha: muEth muPhil muOth H0: muEth muPhil muOth Ha muEth = muPhil = muOth H0: muEth = muPhil = muoth Ha: At least one of the means is different. What is the test statistic? F = (Round to two decimal places as needed.)

Solution

H0: All means are equal

Ha: atleast two are different

-----------------------------------------------------

As p value <0.05, we reject null hypothesis at 0.05

Hence all groups do not have same means.

They are different and this is statistically evident.

Eating meat
	Ethics	philosophy	others
1	3	5	6
2	3	5	7
3	2	1	6
4	4	4	5
5	4	5	8
6	3	5	7
7	7	5	6
8	1	3	7
9	4	7	2
10	3	4	6
n	10	10	10
X	3.400	4.400	6.000
s	1.578	1.578	1.633
Xave	4.600