A random sample of 49 measurements from one population had asample mean of 10, with sample standard deviation 3. An independentrandom sample of 64 measurements from a second population had asample mean of 12, with sample standard deviation 4. Test the claimthat the population means are different. Use level of significance0.01.
(a) What distribution does the sample test statistic follow?Explain.
(b) State the hypotheses.
(c) Compute x1 2 x2 and the corresponding sample teststatistic.
(d) Estimate the P-value of the sample test statistic.
(e) Conclude the test.
(f) Interpret the results.
A random sample of 49 measurements from one population had asample mean of 10, with sample standard deviation 3. An independentrandom sample of 64 measurements from a second population had asample mean of 12, with sample standard deviation 4. Test the claimthat the population means are different. Use level of significance0.01.
(a) What distribution does the sample test statistic follow?Explain.
(b) State the hypotheses.
(c) Compute x1 2 x2 and the corresponding sample teststatistic.
(d) Estimate the P-value of the sample test statistic.
(e) Conclude the test.
(f) Interpret the results.
