Basic Computation: Testing 12 2 Two populations have normal distributions. The first has population standard deviation 2

Basic Computation: Testing μ12 μ2 Two populations have normal distributions. The first has population standard deviation 2 and the second has population standard deviation 3. A random sample of 16 measurements from the first population had a sample mean of 20. An independent random sample of 9 measurements from the second population had a sample mean of 19. Test the claim that the population mean of the first population exceeds that of the second.

Use a 5% level of significance.

(a) Check Requirements What distribution does the sample test statistic follow? Explain.

(b) State the hypotheses.

(c) Compute x1 2x2 and the corresponding sample distribution value.

(d) Find the P-value and the corresponding sample test statistic.

(e) Conclude the test

(f) Interpret the results.

AppendixLO1