Question

A stock analyst wondered whether the mean rate of return of financial, energy, and utility stocks differed over the past 5 years. He obtained a simple random sample of eight companies from each of the three sectors and obtained the 5-year rates of return shown in the accompanying table (in percent). Complete parts (a) through (d) below. Click the icon to view the data table. A. $H_0: \mu_{financial} = \mu_{energy} = \mu_{utilities}$ and $H_1: \mu_{financial} < \mu_{energy} < \mu_{utilities}$ B. $H_0: \mu_{financial} = \mu_{energy} = \mu_{utilities}$ and $H_1$: at least one of the means is different Rates of Return C. $H_0$: at least one of the means is different and $H_1: \mu_{financial} = \mu_{energy} = \mu_{utilities}$ D. $H_0: \mu_{financial} = \mu_{energy}$ and $H_1$: the means are different Financial Energy Utilities 10.73 12.89 11.98 15.05 13.96 5.76 17.21 6.33 13.46 5.03 11.19 9.90 19.59 18.79 3.95 8.16 20.73 3.44 10.38 9.60 7.11 6.52 17.40 15.70 (b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to u A. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are ir the same variance. B. No, because there are k = 3 simple random samples, one from each of k populations, the k samples are ind same variance. C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviat D. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are in different variances. (c) Are the mean rates of return different at the $\alpha = 0.05$ level of significance? Use technology to find the F-test statistic for this data set. F$_0$ = (Round to two decimal places as needed.) Determine the P-value and state the appropriate conclusion below. Since the P-value is, there enough evidence to reject the null hypothesis. Thus, we conclude that the mean rates of return are different at the $\alpha = 0.05$ level of significance. Print Done Next

          A stock analyst wondered whether the mean rate of return of financial, energy, and utility stocks differed over the past 5 years. He obtained a simple random sample of eight companies from each of
the three sectors and obtained the 5-year rates of return shown in the accompanying table (in percent). Complete parts (a) through (d) below.
Click the icon to view the data table.
A. $H_0: \mu_{financial} = \mu_{energy} = \mu_{utilities}$ and $H_1: \mu_{financial} < \mu_{energy} < \mu_{utilities}$
B. $H_0: \mu_{financial} = \mu_{energy} = \mu_{utilities}$ and $H_1$: at least one of the means is different
Rates of Return
C. $H_0$: at least one of the means is different and $H_1: \mu_{financial} = \mu_{energy} = \mu_{utilities}$
D. $H_0: \mu_{financial} = \mu_{energy}$ and $H_1$: the means are different
Financial	Energy	Utilities
10.73	12.89	11.98
15.05	13.96	5.76
17.21	6.33	13.46
5.03	11.19	9.90
19.59	18.79	3.95
8.16	20.73	3.44
10.38	9.60	7.11
6.52	17.40	15.70
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to u
A. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are ir
the same variance.
B. No, because there are k = 3 simple random samples, one from each of k populations, the k samples are ind
same variance.
C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviat
D. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are in
different variances.
(c) Are the mean rates of return different at the $\alpha = 0.05$ level of significance?
Use technology to find the F-test statistic for this data set.
F$_0$ = 	(Round to two decimal places as needed.)
Determine the P-value and state the appropriate conclusion below.
Since the P-value is, there	enough evidence to reject the null hypothesis. Thus, we	conclude that the mean rates of return are different at the $\alpha = 0.05$ level of significance.
Print	Done
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A stock analyst wondered whether the mean rate of return of financial, energy, and utility stocks differed over the past 5 years. He obtained a simple random sample of eight companies from each of
the three sectors and obtained the 5-year rates of return shown in the accompanying table (in percent). Complete parts (a) through (d) below.
Click the icon to view the data table.
A. H0: μfinancial = μenergy = μutilities and H1: μfinancial < μenergy < μutilities
B. H0: μfinancial = μenergy = μutilities and H1: at least one of the means is different
Rates of Return
C. H0: at least one of the means is different and H1: μfinancial = μenergy = μutilities
D. H0: μfinancial = μenergy and H1: the means are different
Financial Energy Utilities
10.73 12.89 11.98
15.05 13.96 5.76
17.21 6.33 13.46
5.03 11.19 9.90
19.59 18.79 3.95
8.16 20.73 3.44
10.38 9.60 7.11
6.52 17.40 15.70
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to u
A. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are ir
the same variance.
B. No, because there are k = 3 simple random samples, one from each of k populations, the k samples are ind
same variance.
C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviat
D. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are in
different variances.
(c) Are the mean rates of return different at the α = 0.05 level of significance?
Use technology to find the F-test statistic for this data set.
F0 = (Round to two decimal places as needed.)
Determine the P-value and state the appropriate conclusion below.
Since the P-value is, there enough evidence to reject the null hypothesis. Thus, we conclude that the mean rates of return are different at the α = 0.05 level of significance.
Print Done
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