Question

A random sample of 49 measurements from one population had a sample mean of 16, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 19, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01.

(a) What distribution does the sample test statistic follow?
Explain.(c) Compute x_{1} − x_{2}.

x_{1} − x_{2} =

Compute the corresponding sample distribution value. (Test the
difference μ_{1} − μ_{2}. Round your answer to
three decimal places.)

(d) Estimate the *P*-value of the sample test
statistic.

Answer #1

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A random sample of 49 measurements from one population had a
sample mean of 16, with sample standard deviation 3. An independent
random sample of 64 measurements from a second population had a
sample mean of 18, with sample standard deviation 4. Test the claim
that the population means are different. Use level of significance
0.01.
(a) What distribution does the sample test statistic follow?
Explain.
The Student's t. We assume that both population
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