Hi, please help me with part 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.   Determine the​ P-value and state the appropriate conclusion below.

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Hi, please help me with part 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.
 
Determine the​ P-value and state the appropriate conclusion below.
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) State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Hfinancial = Penergy and H1: the means are different
O B. Ho: Hfinancial = Penergy = Hutilities and H,: at least one of the means is different
O C. Ho: Hfinancial = Penergy = Hutilities and H,: Hfinancial <Henergy <Hutilities
%3D
D. Ho: at least one of the means is different and H1: pfinancial = Henergy = Hutilities
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied?
A. No, because there are k = 3 simple random samples, one from each of k populations, thek samples are independent of each other, and the populations are normally distributed and have the same variance.
B. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are independent of each other, and the populations are normally distributed and have different variances.
C. Yes, because there are k= 3 simple random samples, one from each of k populations, the k samples are independent of each other, and the populations are normally distributed and have the same variance.
D. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation.
(c) Are the mean rates of return different at the a = 0.05 level of significance?
Use technology to find the F-test statistic for this data set.
Fo
(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 a = 0.05 level of significance.
(Round to three decimal places as needed.)
Transcribed Image Text: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) State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Hfinancial = Penergy and H1: the means are different O B. Ho: Hfinancial = Penergy = Hutilities and H,: at least one of the means is different O C. Ho: Hfinancial = Penergy = Hutilities and H,: Hfinancial <Henergy <Hutilities %3D D. Ho: at least one of the means is different and H1: pfinancial = Henergy = Hutilities (b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied? A. No, because there are k = 3 simple random samples, one from each of k populations, thek samples are independent of each other, and the populations are normally distributed and have the same variance. B. Yes, because there are k = 3 simple random samples, one from each of k populations, the k samples are independent of each other, and the populations are normally distributed and have different variances. C. Yes, because there are k= 3 simple random samples, one from each of k populations, the k samples are independent of each other, and the populations are normally distributed and have the same variance. D. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. (c) Are the mean rates of return different at the a = 0.05 level of significance? Use technology to find the F-test statistic for this data set. Fo (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 a = 0.05 level of significance. (Round to three decimal places as needed.)
Rates of Return
Financial
Energy
Utilities
10.73
12.89
11.98
15.12
13.96
5.76
ic
17.21
6.33
13.67
t
5.03
11.23
9.82
It
19.59
18.79
3.95
8.16
20.73
3.44
10.45
9.60
7.11
6.52
17.40
15.70
Print
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Transcribed Image Text:Rates of Return Financial Energy Utilities 10.73 12.89 11.98 15.12 13.96 5.76 ic 17.21 6.33 13.67 t 5.03 11.23 9.82 It 19.59 18.79 3.95 8.16 20.73 3.44 10.45 9.60 7.11 6.52 17.40 15.70 Print Done
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