7. Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio is smaller than the national mean of $95,000. Use the standard mathematical notation for stating the null and alternative hypotheses as well as an English description of each hypothesis. Test your hypotheses at alpha = 0.05 and state your conclusion using both the p-values and the test values. Ho: mu = 9500 Description: There is no difference between the two populations Ha: mu # 9500 Description: There is a difference between the two populations standard error What kind of hypotesis is this? One sample t-test critical t 2.0452296 test t p-value Conclusion: There is no sufficient evidence to conclude that there is difference between the two populations. 8. Assuming a normal distribution, compute the following probabilities, use Excel functions and standard mathematical notation. Notation Probability a) Probability that a single person drawn at random has a salary less than $90,000 p(x10,0000) c) Probability that a single person has a salary between $80,000 and $110,000 p(80,000