You may need to use the appropriate technology to answer this question. Suppose the national mean annual salary for a school administrator is $90,500 a year. A school ofcial took a sample of 25 school administrators in the state of Ohio to learn about salai state to see if they differed from the national average. 77,600 76,000 90,700 97,200 90,700 101,800 78,700 81,300 84,200 97,600 77,500 75,700 89,400 84,300 78,700 84,600 87,700 103,400 83,800 101,300 94,700 69,200 95,400 61,500 68,800 (a) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,500. .4 H0: ,4 2 90,500 H : ,4 90,500 H0: ,4 > 90,500 H : ,4 5 90,500 (b) The sample data for 25 Ohio administrators is contained in the le named Administrator. What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.) pvalue = (c) At a = 0.05, can your null hypothesis be rejected? What is your conclusion? Reject Ho. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Do not reject Ho. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Do not reject Ho. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. O Reject Ho. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. Ho: M 2 90,500 Ha: M 90,500 Ho: M > 90,500 Ha: M S 90,500 Find the value of the test statistic. (Round your answer to three decimal places.) State the critical values for the rejection rule. Use a = 0.05. (Round your answer to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. O Reject Ho. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Do not reject Ho. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Do not reject Ho. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. O Reject Ho. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary