How do I solve for the F test statistic for this data set? A stock analyst wonde

Question

How do I solve for the F test statistic for this data set? A stock analyst wondered whether the mean rate of retum of financial energy.and utiity stocks dfferedover he past 5 years Heattainedasimple random sample ofeilt companies from each of the three sectors and obtaine the Syear rates of return shown in the accompanying table (in percent). Complete parts (a) through below. EE Click the icon to view the data table Rates of Return O c. Ha at least one ot the means is different and H Wananca Wenerw Wwues (bn Normal probability Plots indicate that the sample data come from normalpopulations. Are the requirements to use the oneway Financial 1076 1272 1188 A. Yes, because there are k 3simple random samples, one from each ofk have the same variance populations, the k samples 1505 1396 576 have the same variance. B No, because there are k 3simple random samples, one from each of k populations, the k samples are independent of eac 1721 633 1346 O No, because the largest sample standard deviation is more than twice smallest sample standard deviation the 990 503 have different variances. D Yes, because there are k 3 simple random samples, one from each ofk populations, the k samples (c) Are the mean rates of retum diterent at the a 0.06 level of significance? 821 960 Use technology to find the F-test statistic for this data set 1570 675 F nd to two decimal plac as needed) es

Explanation / Answer

running ANOVA on above data

C)

from above F stat= 2.06

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Financial 8 93.05 11.63125 26.7735 Energy 8 110.72 13.84 23.90246 Utilities 8 71.2 8.9 20.61311 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 97.97841 2 48.9892 2.061573 0.152239 3.4668 Within Groups 499.0235 21 23.76302 Total 597.0019 23

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