(Solved): A stock analyst wondered whether the mean rate of return of francial, energy, and utily stocks diff ...

A stock analyst wondered whether the mean rate of return of francial, energy, and utily stocks differed over the past 5 years. He cotained a simple random surple of eght comparies frem evch of the three sectors and obtained the 5 -year rates of retum shown in the accompanying table (n percent). Complete parts (a) through (d) below. Cick the icon to view the data table. (a) State the null and alternative hypothoses, Choose the correct answer bolow A. \( H_{6}: \mu_{\text {tranclal }}=\mu_{\text {energy }}=\mu_{\text {with }} \) and \( \mathrm{H}_{1} \); at least one of the means is different B. \( \mathrm{H}_{0} \) : Herancial " Henergy and \( \mathrm{H}_{4} \) : the means are diforent c. \( \mathrm{H}_{\mathrm{n}} \) : at least one of the means is different and \( \mathrm{H}_{1}: \) Phancial \( =\mu_{\text {enerw }} \) " Manses (A. No, because the largest sample sandard deviation is more than twke the smallest sample standard deviation. the same wartance. c. No, because there are \( k=3 \) simple random samples, one from each of \( k \) populasons, the \( k \) samples are independert of each cher, and the populations ire normaly fistritutio and hare en sarne variance. different variances. (c) Are the mean rates of return deferent an the \( \alpha=0.05 \) level of significance? Use lechnology to find the F-lest statistio for this data set. \( F_{a}= \) (Found to two decimal places as needed.) same variance. different variances (c) Are the fnean rates of roturn different at the \( \alpha=0.05 \) level of significance? Use technology to find the F.tesst statistic for this data set. \( F_{0}= \) (Round to two decimal places as needed.) Determine the P-value and state the appropriate conclusion below. (Round to three decimal places as needed.) (d) Draw boxplots of the three sectors to support the results obcained in part (c). Choose the correct graph below, A. B. C. an rate of return of financial, energy, and utility stocks differed over \( t \) rates of return shown in the accompanying table (in percent). Compl Rates of Return