Can you help me with this one-way ANOVA? This is the first one I have seen. 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. 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.

- Define the null and alternative hypothesis in mathematical terms and in words. - Provide your conclusion and interpretation of the test. Should the null hypothesis be rejected? Why or why not? - Does a side-by-side boxplot of the 10-year returns of ETFs from the three sectors confirm your conclusion of the hypothesis test? financial energy technology 5.5 5.2 7.3 7.1 7.4 8.2 6.9 6.6 7.1 5.1 5.7 7.6 4.6 5.6 8.2 5 .3 5.5 11.5 5.9 6.4 9.2 5.6 6.1 9.5 5.5 5.2 7.3 7.1 7.4 8.2 10 6.9 6.6 7. 1 11 5 .1 5 .7 7.6 4.6 5.6 8. 2 13 5.3 5.5 11.5 14 5.9 6.4 9.2 15 5.6 6.1 9.5 16 4.7 4.4 6.2 17 6.4 6.6 7.4 18 6.7 6.4 6.9 19 4.3 4.8 6.4 20 4.1 5.0 7.4 21 5 .1 5.3 11.1 22 5 .7 6.2 8.9 23 4.7 5.2 8. 1 24 5 .3 5.0 7.1 25 6.4 6.6 7.4 26 5.8 5.6 6.6 27 4.9 5.5 7.4 28 4.1 5.0 7.4 29 4.8 4.9 10.3 test statistic = 55.07 P-value = 0.0 Level of Significance: 5%, 0.05 Boxplot for comparison 11 10 LO return financial energy technology ETF