Two populations are described in each of the following cases. For each of the ca
ID: 3056973 • Letter: T
Question
Two populations are described in each of the following cases. For each of the cases in parts a through e,
would it be appropriate to apply the small-sample t-test to investigate the difference between the population means?
a.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
Yes or No
b.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
sigma Subscript 2 Superscript 222not equalssigma Subscript 1 Superscript 221.
Choose the correct answer below.
Yes or No
c.
Population 1: Skewed to the left with variance
sigma Subscript 1 Superscript 221.
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
Yes or No
d.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
Yes or No
e.
Population 1: Uniform distribution with variance
sigma Subscript 1 Superscript 221.
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
Yes or No
a.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
Population 2: Skewed to the right with variancesigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Explanation / Answer
Result:
Two populations are described in each of the following cases. For each of the cases in parts a through e,
would it be appropriate to apply the small-sample t-test to investigate the difference between the population means?
a.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
Population 2: Skewed to the right with variance
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
No ( population 2 no normal)
b.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
Population 2: Normal distribution with variance
sigma Subscript 2 Superscript 222not equalssigma Subscript 1 Superscript 221.
Choose the correct answer below.
No ( variances are not equal)
c.
Population 1: Skewed to the left with variance
sigma Subscript 1 Superscript 221.
Population 2: Skewed to the left with variance
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
No ( both populations are not normal)
d.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
Population 2: Normal distribution with variance
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
Yes ( both normal with equal variance)
e.
Population 1: Uniform distribution with variance
sigma Subscript 1 Superscript 221.
Population 2: Uniform distribution with variance
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
Choose the correct answer below.
No ( both populations are not normal)
a.
Population 1: Normal distribution with variance
sigma Subscript 1 Superscript 221.
Population 2: Skewed to the right with variance
sigma Subscript 2 Superscript 222equals=sigma Subscript 1 Superscript 221.
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