An investment analyst is evaluating the 10-year mean return on investment for industry-specific exchange-traded funds (ETFs) for three sectors: financial, energy, and technology. The analyst obtains a random sample of 30 ETFs for each sector and calculates the 10-year return of each ETF. The analyst has provided you with this data set.

Using the sample data, perform one-way analysis of variance (ANOVA). Evaluate whether the average return of at least one of the industry-specific ETFs is significantly different. Use a 5% level of significance.

Please address the following items:

1. Define the null and alternative hypothesis in mathematical terms and in words.

2. Report the level of significance.

3. Include the test statistic and the P-value

4. Provide your conclusion and interpretation of the test. Should the null hypothesis be rejected? Why or why not?

5. Does a side-by-side boxplot of the 10-year returns of ETFs from the three sectors confirm your conclusion of the hypothesis test? Why or why not?