Question

n1=12, s21=0.439, n2=19, s22=1.638, Ha: σ21<σ22, α=0.05

Step 1 of 2: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.

Step 2 of 2:

Make a decision.

Reject Null Hypothesis or Fail to Reject Null Hypothesis

Answer #1

Hypothesis : VS

Since , the test is one tailed ( left ) test.

The test statistic is ,

;

The critical value is ,

; From excel "=FINV(0.95,11,18)"

Decision : Here , the value of the test statistic lies in the rejection region.

Therefore , Reject the null hypothesis.

Given the following information:
n1=21
, s21=65.396, n2=16, s22=50.452,
Ha: σ21≠σ22,
α=0.05
Step 1 of 2 :
Determine the critical value(s) of the test statistic. If the
test is two-tailed, separate the values with a comma. Round your
answer(s) to four decimal places.
step 2 of 2: Make a decision. A. reject null hypothesis B. Fail
to reject null hypothesis

Given the following information:
n1=61, s21=3.496, n2=61, s22=6.05, Ha: σ21≠σ22, α=0.1
Step 1 of 2 :
Determine the critical value(s) of the test statistic. If the
test is two-tailed, separate the values with a comma. Round your
answer(s) to four decimal places.
Step 2: Reject null hypothesis or fail to reject null
hypothesis

Consider testing H0: σ21 ≤
σ22 vs. Ha:
σ21 > σ22 given that
?1 = 25, s21 = 7.4,
?2 = 31, s22 = 6.2.
a) Calculate the value of the test statistic, F*.
b) Test the hypothesis at the 0.025 level of significance, using
the classical approach.
Critical region:
c) Decision:
d) Reason:

Consider the following hypothesis test.
H0: σ12 =
σ22
Ha: σ12 ≠
σ22
(a) What is your conclusion if n1 = 21,
s12 = 8.2, n2 = 26, and
s22 = 4.0? Use α = 0.05 and the
p-value approach
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal
places.)
p-value =
State your conclusion.
Reject H0. We cannot conclude that
σ12 ≠ σ22.
Do not reject H0. We cannot conclude that
σ12 ≠...

Consider the following hypothesis test.
H0: σ12 =
σ22
Ha: σ12 ≠
σ22
(a)
What is your conclusion if
n1 = 21, s12 = 2.2,
n2 = 26, and s22 = 1.0? Use α =
0.05 and the p-value approach.
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal
places.)
p-value =
State your conclusion.
Reject H0. We cannot conclude that
σ12 ≠ σ22.Do not reject
H0. We cannot conclude that
σ12 ≠...

Consider the following competing hypotheses and relevant
summary statistics: Use Table 4.
H0:
σ21/σ22σ12/σ22 ≥ 1
HA:
σ21/σ22σ12/σ22 < 1
Sample 1: s21s12 = 1,370, and n1 = 23
Sample 2: s22s22 = 1,441, and n2 = 15
a.
Calculate the value of the test statistic. Remember to put the
larger value for sample variance in the numerator. (Round
your answer to 2 decimal places.)
Test statistic
b-1.
Approximate the critical value at the 10% significance
level.
2.05...

Given two independent random samples with the following
results:
n1=573, p^1=0.5
n2=454, pˆ2=0.6
Can it be concluded that the proportion found in Population 2
exceeds the proportion found in Population 1? Use a
significance level of α=0.1α=0.1for the test.
Step 1 of 5: State the null and alternative hypotheses for the
test.
Step 2 of 5: Compute the weighted estimate of p, p‾p‾. Round
your answer to three decimal places.
Step 3 of 5: Compute the value of the test statistic....

Given two independent random samples with the following
results:
n1=469 x1=250 n2=242 x2=95
Can it be concluded that there is a difference between the two
population proportions? Use a significance level of α=0.05 for the
test.
Step 1 of 6: State the null and alternative hypotheses for the
test.
Step 2 of 6: Find the values of the two sample proportions,
pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places.
Step 3 of 6: Compute the weighted estimate of...

A standardized test is given to a sixth grade class and a ninth
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variance in performance from the ninth grade class. The sample
variance of a sample of 16 test scores from the sixth grade class
is 23.64. The sample variance of a sample of 10 test scores from
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A random sample of n1 = 52 men and a random sample of
n2 = 48 women were chosen to wear a pedometer for a
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The men’s pedometers reported that they took an average of 8,342
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s1 = 371 steps.
The women’s pedometers reported that they took an average of
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We want to test whether men and women...

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