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 questions 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 questions below.
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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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 questions below.
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|
|
|
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Financial
|
Energy
|
Utilities
|
|---|---|---|
|
10.73
|
12.89
|
11.88
|
|
15.05
|
13.91
|
5.76
|
|
17.21
|
6.33
|
13.67
|
|
5.07
|
11.23
|
9.90
|
|
19.50
|
18.79
|
3.95
|
|
8.16
|
20.73
|
3.44
|
|
10.45
|
9.60
|
7.11
|
|
6.75
|
17.40
|
15.70
|
(a) State the null and alternative hypotheses. Choose the correct answer below.
H0: μfinancial=μenergy=μutilities
and H1: at least one of the means is differentH0: μfinancial=μenergy=μutilities
and H1: μfinancial<μenergy<μutilitiesH0: at least one of the means is different
and H1: μfinancial=μenergy=μutilitiesH0: μfinancial=μenergy
and H1: the means are different(b) Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied?
No, because the largest sample standard deviation is more than twice the smallest sample standard deviation.
Yes, because there are
normally distributed and have different variances.
k=3
simple random samples, one from each of k populations, the k samples are independent of each other, and the populations are 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.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.(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=nothing
(Round to two decimal places as needed.)Determine the P-value and state the appropriate conclusion below.
Since the P-value is
enough evidence to reject the null hypothesis. Thus, we
conclude that the mean rates of return are different at the
nothing,
there
▼
is
is not
▼
can
cannot
α=0.05
level of significance.(Round to three decimal places as needed.)
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