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. DA. Ho: Hinancial =Penergy and H,: the means are different O B. Ho: Hinancial "Penergy =Hutilities and H,: at least one of the means is different OC. Ho: Hinancial "Henergy =Hutilities and H: Hinancial Henergy Hutilities OD. Ho: at least one of the means is different and H,: Hinancial = 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? OA. No, 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. OB. 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. OC. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. O D. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Related questions
Question
i
Rates of Return
Financial
Energy
Utilities
10.73
12.72
11.98
15.05
13.91
5.86
17.01
6.43
13.67
5.03
11.19
9.90
19.50
18.93
3.95
8.16
20.73
3.44
10.38
9.60
7.11
6.75
17.40
15.70
Transcribed Image Text:i Rates of Return Financial Energy Utilities 10.73 12.72 11.98 15.05 13.91 5.86 17.01 6.43 13.67 5.03 11.19 9.90 19.50 18.93 3.95 8.16 20.73 3.44 10.38 9.60 7.11 6.75 17.40 15.70
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 = Peneray and H,: the means are different
O B. Ho: Hfinancial = Penergy = Hutilities and H1: at least one of the means is different
%3D
%3D
O C. Ho: Hfinancial = Henergy = Hutilities and H,: Hfinancial <Penergy <Hutilities
O D. Ho: at least one of the means is different and H1: Hfinancial = Penergy = Putilities
%3D
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied?
O A. No, 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.
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.
O C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation.
D. 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.
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 = Peneray and H,: the means are different O B. Ho: Hfinancial = Penergy = Hutilities and H1: at least one of the means is different %3D %3D O C. Ho: Hfinancial = Henergy = Hutilities and H,: Hfinancial <Penergy <Hutilities O D. Ho: at least one of the means is different and H1: Hfinancial = Penergy = Putilities %3D (b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied? O A. No, 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. 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. O C. No, because the largest sample standard deviation is more than twice the smallest sample standard deviation. D. 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.
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