Question

Continue to use same population and sample. Population Size of 150 with a sample size of 49 Sample Mean is 519.04  Perform a hypothesis test of the claim that the true, but unknown population mean, is equal to 500, using a signicance level, = :02.

1. Using proper notation, write the correct null and alternative hypotheses. Indicate, which hypothesis is the claim, and state if the test is left-tailed, right-tailed, or 2-tailed.

2. Calculate the appropriate test statistic.

3. Use table to determine which of the following is accurate a. p-value :010 b. 010 0:20

4. Sketch the rejection and non-rejection region(s) labeled with correct critical value(s).

5. State and explain conclusion for the test with regard to the null hypothesis in terms of parts 3 and 4 above.

6. State the conclusion in plain language including how it relates to claim that population mean is 570.

Answer 1

1. Using proper notation, write the correct null and alternative hypotheses. Indicate, which hypothesis is the claim, and state if the test is left-tailed, right-tailed, or 2-tailed.

The hypothesis being tested is:

H0: µ = 500

Ha: µ ≠ 500

The test is 2-tailed.

2. Calculate the appropriate test statistic.

z = 2.66

3. Use table to determine which of the following is accurate

p-value :0.01

4. Sketch the rejection and non-rejection region(s) labeled with correct critical value(s).

5. State and explain conclusion for the test with regard to the null hypothesis in terms of parts 3 and 4 above.

Since the p-value (0.01) is less than the significance level (0.05), we can reject the null hypothesis.

6. State the conclusion in plain language including how it relates to claim that population mean is 570.

Therefore, we can conclude that µ ≠ 500.