Question

When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fα/2 and FL can be denoted F1-α/2 . Find the critical values FL and FR for a two-tailed hypothesis test based on the following values: n1 = 10, n2 = 16, α = 0.05

Seleccione una: A. 0.2653, 3.7743 B. 0.3202, 3.1227 C. 3.1227, 3.7743 D. 0.2653, 3.1227

Answer #1

Given that,

= 0.05

/2 = 0.025

1 - (/2) = 0.975

n1 = 10

d.f.1 = n1 - 1 = 10 - 1 = 9

(d.f.1 is degrees of freedom for numerator)

n2 = 16 = n2 - 1 = 16 - 1 = 15

(d.f.2 is degrees of freedom for denominator)

Use f table.

Fα/2 = F_{0.025} at d.f.1 = 9 and d.f.2 = 15 =
3.1227

F1-α/2 = F_{0.975 }at d.f.1 = 9 and d.f.2 =
15 = 0.2653

**Answer : D. 0.2653, 3.1227**

Solve the problem. When performing a hypothesis test for the
ratio of two population variances, the upper critical F value is
denoted FR. The lower critical F value, FL , can be found as
follows: interchange the degrees of freedom, and then take the
reciprocal of the resulting F value found in table A-5. FR can be
denoted Fα/2 and FL can be denoted F1-α/2. Find the critical values
FL and FR for a two-tailed hypothesis test based on the...

Solve the problem. When performing a hypothesis test for the
ratio of two population variances, the upper critical F value is
denoted FR. The lower critical F value, FL , can be found as
follows: interchange the degrees of freedom, and then take the
reciprocal of the resulting F value found in table A-5. FR can be
denoted Fα/2 and FL can be denoted F1-α/2. Find the critical values
FL and FR for a two-tailed hypothesis test based on the...

Finding F critical for Variances
Use the F-distribution to find the degrees of freedon for the
numerator (d.f.N.), the degrees of freedom for the Denominator
(d.f.D.) and the critical F-value
Use the closest value when looking up the d.f.N. and d.f.D. in
the tables.
Test
alpha
α
Sample 1
Sample 2
d.f.N.
d.f.D.
F critical
Right
0.01
s12=37
n1=14
s22=89
n2=25
Two-tailed
0.10
s12=164
n1=21
s22=53
n2=17
Right
0.05
s12=92.8
n1=11
s22=43.6
n2=11

Finding F critical for Variances
Use the F-distribution to find the degrees of freedon for the
numerator (d.f.N.), the degrees of freedom for the Denominator
(d.f.D.) and the critical F-value
Use the closest value when looking up the d.f.N. and d.f.D. in
the tables.
Test
alpha
α
Sample 1
Sample 2
d.f.N.
d.f.D.
F critical
Right
0.01
s12=37
n1=14
s22=89
n2=25
Two-tailed
0.10
s12=164
n1=21
s22=53
n2=17
Right
0.05
s12=92.8
n1=11
s22=43.6
n2=11
Finding F critical for ANOVA
Use the...

Find the critical values for a a. right tailed F test when α
=0.05 and n1=10 and n2=12. b. left tailed F test when α =0.05 and
ν1=11 and ν2=16. c. two tailed F test when α =0.05 and ν1=21 and
ν2=16.

Exhibit 5
An Upper Tail Test about two population variances has been
formulated as follows:
H0:
σ12 ≤ σ22
Ha:
σ12 > σ22
A sample of size n1=26 from population 1 provides a sample standard
deviation of S1 = 3; and a sample of size n2=16 from population 2
provides a sample standard deviation of S2 = 2. Assume
that both populations are normal.
a.Refer to Exhibit 5. What are the numerator and denominator
degrees of freedom for the F distribution?...

calculate:
PART A: You are performing a two-tailed test.
If α=.10α=.10, find the positive critical value, to three decimal
places.
zα/2 =
PART B: Your claim results in the following alternative
hypothesis:
Ha : μ ≠≠ 162
which you test at a significance level of α=.10α=.10.
Find the positive critical value, to three decimal places.
zα/2 =
PART C: Your claim results in the following alternative
hypothesis:
Ha : μ << 127
which you test at a significance level of...

a, Find the critical F-value for a right-tailed test using the
indicated level of significance α and degrees of freedom d.f.N and
d.f.D.
α=0.10, d.f.N=7, Dd.f.=24
The critical F-value is _____
(Round to two decimal places as needed.)
b.Find the expected frequency, Ei, for the given values of n
and pi.
n=230, pi=0.27
Ei= _____ (Type an integer or a decimal.)

12.
Calculate the critical z-value(s) for each of the given
hypothesis test scenarios below. If mulitple critical values exist
for a single scenario, enter the solutions using a comma-separated
list. Round z-values to two decimal places.
Find the critical z-value(s) for a left-tailed test of
hypothesis for a mean, assuming the population standard deviation
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z=
Find the critical z-value(s) for a right-tailed test of
hypothesis for a mean, assuming...

14.
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hypothesis test scenarios below. If mulitple critical values exist
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Find the critical t-value(s) for a left-tailed test of
hypothesis for a mean, assuming the population standard deviation
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t=
Find the critical t-value(s) for a right-tailed test of
hypothesis for a mean, assuming...

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