Chapter 7, Problem 7.3P

a. $\boxed{SW}$ Statewide, social workers average 10.2 years of experience. In a random sample, 203 social workers in greater metropolitan Shinbone average only 8.7 years, with a standard deviation of 0.52. Are social workers in Shinbone significantly less experienced? (NOTE: The wording of the research hypothesis may justify a one-tailed test of significance. For a one -tailed test, what form would the research hypothesis take, and where would the critical region begin?)

b. The same sample of social workers reports an average annual salary of $\$25,782$, with a standard deviation of $\$622$. Is this figure significantly higher than the statewide average of $\$24,509$? (NOTE: The wording of the research hypothesis suggests a one-tailed test. What form would the research hypothesis take, and where would the critical region begin?)