Question

Find the F-test statistic to test the claim that the population
variances are equal. Both distributions are normal. The standard
deviation of the first sample is 3.3895

3.7904 is the standard deviation of the second sample.

Answer #1

Given the standard deviation of the first sample is s1 = 3.3895, and s2 = 3.7904 is the standard deviation of the second sample.

Now to test the claim that the population variances are equal with assuming both the distributions are normal we calculate the F-test statistic which is calculated as:

This test statistic is used to test the claim that the population variances are equal.

The hypotheses that are created as:

Find the F-test statistic to test the claim that the variances
of the two populations are equal. Both distributions are normal.
The populations are independent. The standard deviation of the
first sample is 12.3477
11.1838 is the standard deviation of the second sample.

You wish to test the following claim ( H a ) at a significance
level of ? = 0.002 . H o : ? 1 = ? 2 H a : ? 1 ? ? 2 You believe
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standard deviations for either. And you have no reason to believe
the variances of the two populations are equal You obtain a sample
of size n 1 = 17 with a...

You wish to test the following claim (Ha) at a significance
level of α=0.01 . Ho:μ1=μ2 Ha:μ1≠μ2 You believe both populations
are normally distributed, but you do not know the standard
deviations for either. And you have no reason to believe the
variances of the two populations are equal You obtain a sample of
size n1=21 with a mean of ¯x1=65.4 and a standard deviation of
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with a...

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level of α=0.002
Ho:μ1=μ2
Ha:μ1≠μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=16 with a mean of ¯x1=88.7x and a
standard deviation of s1=15.9 from the first population. You obtain
a sample of size n2=20 with a mean...

You wish to test the following claim (HaHa) at a significance
level of α=0.001
Ho:μ1=μ2
Ha:μ1≠μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=13 with a mean of ¯x1=69.1 and a
standard deviation of s1=15.5 from the first population. You obtain
a sample of size n2=22 with a mean...

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level of α=0.01α=0.01.
Ho:μ1=μ2Ho:μ1=μ2
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You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=15n1=15 with a mean of
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level of α=0.01
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You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=22 with a mean of ¯x1=65.6 and a
standard deviation of s1=6.2 from the first population. You obtain
a sample of size n2=20 with a mean...

You wish to test the following claim (Ha) at a significance
level of α=0.10
.
Ho:μ1=μ2
Ha:μ1≠μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=20
with a mean of ¯x1=82.2 and a standard deviation of s1=18.5 from
the first population. You obtain a sample of size n2=18 with a...

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a standard deviation of SD1=18.1 from the first population. You
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