1. You will apply the statistical concepts and techniques about one-way analysis of variance (ANOVA). 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) by answering the questions below. Evaluate whether the average return ofat least oneof the industry-specific ETFs is significantly different. Use a 5% level of significance.

Sample Data:

financial energy technology

0 5.5 5.2 7.3

1 7.1 7.4 8.2

2 6.9 6.6 7.1

3 5.1 5.7 7.6

4 4.6 5.6 8.2

5 5.3 5.5 11.5

6 5.9 6.4 9.2

7 5.6 6.1 9.5

8 5.5 5.2 7.3

9 7.1 7.4 8.2

10 6.9 6.6 7.1

11 5.1 5.7 7.6

12 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 6.0

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