Question

You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 70 Ha: μ < 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 68.5 Find the value of the test statistic. -1.25 Correct: Your answer is correct. Find the p-value. (Round your answer to four decimal places.) p-value = .1056 Correct: Your answer is correct. State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 70. Do not reject H0. There is insufficient evidence to conclude that μ < 70. Do not reject H0. There is sufficient evidence to conclude that μ < 70. Reject H0. There is insufficient evidence to conclude that μ < 70. Correct: Your answer is correct. (b) x = 67 Find the value of the test statistic. -2.5 Correct: Your answer is correct. Find the p-value. (Round your answer to four decimal places.) p-value = .0062 Correct: Your answer is correct. State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 70. Do not reject H0. There is insufficient evidence to conclude that μ < 70. Do not reject H0. There is sufficient evidence to conclude that μ < 70. Reject H0. There is insufficient evidence to conclude that μ < 70. Correct: Your answer is correct. (c) x = 65.5 Find the value of the test statistic. -3.75 Correct: Your answer is correct. Find the p-value. (Round your answer to four decimal places.) p-value = .0001 Correct: Your answer is correct. State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 70. Do not reject H0. There is insufficient evidence to conclude that μ < 70. Do not reject H0. There is sufficient evidence to conclude that μ < 70. Reject H0. There is insufficient evidence to conclude that μ < 70. Correct: Your answer is correct. (d) x = 72 Find the value of the test statistic. (Round your answer to two decimal places.) 5 Incorrect: Your answer is incorrect. Find the p-value. (Round your answer to four decimal places.) p-value = 1.8904 Incorrect: Your answer is incorrect. State your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 70. Do not reject H0. There is insufficient evidence to conclude that μ < 70. Do not reject H0. There is sufficient evidence to conclude that μ < 70. Reject H0. There is insufficient evidence to conclude that μ < 70. Correct: Your answer is correct.

Answer 1