Answer the feedback question based on my post below and/or knowledge.
Question Description
Feedback: The average return for technology ETF is significantly different from others? Do you agree?
Can we use t-test for comparing three means? If yes, what are the disadvantages? Thanks
Discussion Post:
1. The null hypothesis is H_0: ?_1=?_2=?_3 or all the mean return on investment for industry-specific ETFs is equal.
The alternative hypothesis is H_0: ?_1??_2??_3 or not all the mean return on investment for industry-specific ETFs are equal.
2. The level of significance is 0.05
3. Test statistic: F = 55.07
P-value = 0.000
4. Since the p-value is less than 0.05 (level of significance), we reject the null hypothesis and conclude that the sample data is consistent with the alternative hypothesis that not all the mean return on investment for industry-specific ETFs are equal.
5. Yes, the side-by-side boxplot supports our conclusion of the hypothesis test because the average returns for financial, energy, and technology are different.
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