12/12A)B)C) are the mean rates of return different at the standard deviation = 0.05 level of significance? Use technology to find the F statistic for this data set round to two decimal places as needed. 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 ofeight 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.Rates of Return- X(a) State the null and alternative hypotheses. Choose the correct answer below.O A. Ho Hinancial Henergy Putiities and H, at least one of the means is differentByO B. Ho pfinancial Heneray and H, the means are differentFinancialEnergyUtilities%3D10.7312.7211.98O C. Hn at least one of the means is different and H1. Hinancial = Henergy Hutilities15.1213.915.8617.016.4313.67O D. Ho Pinancial = Henergy F Hutilities and H, Pinancial Henergy Hutilities Question Help ▼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 ofeight 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.E Click the icon to view the data table.(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. 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 populationsare normally distributed and have the same variance.O 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 populationsare normally distributed and have different variances.O C. 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 arenormally distributed and have the same variance.O 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.E. =| T(Round to two decimal places as needed

Analysis of variance - Analysis of variance is used to test hypothesis about differences between two…

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C) are the mean rates of return different at the standard deviation = 0.05 level of significance? Use technology to find the F statistic for this data set round to two decimal places as needed.

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.
Rates of Return
- X
(a) State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho Hinancial Henergy Putiities and H, at least one of the means is different
By
O B. Ho pfinancial Heneray and H, the means are different
Financial
Energy
Utilities
%3D
10.73
12.72
11.98
O C. Hn at least one of the means is different and H1. Hinancial = Henergy Hutilities
15.12
13.91
5.86
17.01
6.43
13.67
O D. Ho Pinancial = Henergy F Hutilities and H, Pinancial Henergy Hutilities
<Putilities
5.07
11.23
9.82
19.50
18.79
3.95
(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirel
8.21
20.73
3.44
O A. Yes, because there are k= 3 simple random samples, one from each of k populations, the k sam
are normally distributed and have the same variance.
10.38
9.60
7.11
6.52
17.40
15.70
O B. Yes, because there are k= 3 simple random samples, one from each of k populations, the k sam
are normally distributed and have different variances.
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Question Help ▼
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.
E Click the icon to view the data table.
(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. 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.
O 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 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.
O 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.
E. =| T(Round to two decimal places as needed

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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