I need help with this problem. You may need to use the appropriate appendix table or technology to answer this question.A producer of various kinds of batteries has been producing "D" size batteries with a life expectancy of 84 hours. Due to an improved production process, management believes that there has been an increase in the life expectancy of their "D" size batteries. A sample of 36 batteries showed an average life of 85.7 hours. It is known that the standard deviation of the population is 9hours.(a) Give the null and the alternative hypotheses (in hours). (Enter != for as needed.)Ho:μ = 84H₂:μ >84(b) Compute the test statistic. (Round your answer to two decimal places.)1.13X(c) At the 1% level of significance using the critical value approach, test management's belief.State the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic ≤ NONEtest statistic > NONEState your conclusion.O Reject Ho. There is insufficient evidence to support the management's belief.O Do not reject Ho. There is insufficient evidence to support the management's belief.O Reject Ho. There is sufficient evidence to support the management's belief.O Do not reject Ho. There is sufficient evidence to support the management's belief.X(d) What is the p-value associated with the sample results?0.0143xWhat is your conclusion based on the p-value using a = 0.01?O Reject Ho. There is insufficient evidence to support the management's belief.O Do not reject Ho. There is insufficient evidence to support the management'sbelief.O Reject Ho. There is sufficient evidence to support the management's belief.O Do not reject Ho. There is sufficient evidence to support the management's belief.(e) What is your conclusion based on the p-value using a = 0.05?O Reject Ho. There is insufficient evidence to support the management's belief.O Do not reject Ho. There is insufficient evidence to support the management'sbelief.Need Help?O Reject Ho. There is sufficient evidence to support the management's belief.O Do not reject Ho. There is sufficient evidence to support the management's belief.Read It

Solution Given μ0=84 σ =9 Xbar=85.7 n=36

You may need to use the appropriate appendix table or technology to answer this question. A producer of various kinds of batteries has been producing "D" size batteries with a life expectancy of 84 hours. Due to an improved production process, management believes that there has been an increase in the life expectancy of their "D" size batteries. A sample of 36 batteries showed an average life of 85.7 hours. It is known that the standard deviation of the population is 9 hours. (a) Give the null and the alternative hypotheses (in hours). (Enter - for as needed.) Ho! 84 H₂² μ>84 x ✓ (b) Compute the test statistic. (Round your answer to two decimal places.) 1.13✔✔ (c) At the 1% level of significance using the critical value approach, test management's belief. State the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistics NONE test statistic z NONE State your conclusion. O Reject No. There is insufficient evidence to support the management's belief. Do not reject Ho. There is insufficient evidence to support the management's belief. O Reject Ho. There is sufficient evidence to support the management's bellef O Do not reject No. There is sufficient evidence to support the management's belief. (d) What is the p-value associated with the sample results? 0.0143 x What is your conclusion based on the p-value using a = 0.017 O Reject Ho. There is insufficient evidence to support the management's belief. Do not reject Ho. There is insufficient evidence to support the management's belief. O Reject No. There is sufficient evidence to support the management's bellef O Do not reject Ho. There is sufficient evidence to support the management's belief. (e) What is your conclusion based on the p-value using a = 0.057 Need Help? Read It ✓ Reject H. There is insufficient evidence to support the management's belief. O Do not reject Mg. There is insufficient evidence to support the management's belief. O Reject Ho. There is sufficient evidence to support the management's belief. O Do not reject Hg. There is sufficient evidence to support the management's belief.