Exercise 14.1: Are the nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? Salary data show staff nurses in Tampa earn less than staff nurses in Dallas (the Tampa Tribune, January 15, 2007). Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staff nurses in Dallas you obtain the following results. Assume unequal variance. TmeLa Dallas 111= 40 n: = 50 i = $56,100 y, = 59,400 51 = $6000 52 = $7000 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are signith lower than those in Dallas. Use a = 0.05. b. What is the value of the test statistic t? Assume unequal variance and degree of freedom = 8?. c. If the p-value is 0.009, what is your conclusion? d. What is the critical value given df = 87? What is your conclusion? Exercise 14.2: An article in Fortune magazine reported on the rapid rise of fees and expenses charged by the mutual funds. Assuming that stock fund expenses and municipal bond fund expenses are each approxirnately normally distributed, suppose a random sample of 12 stock funds gives a mean annual expense of 1.63 percent with a stande deviation of 0.31 percent, and an independent random sample of 12 municipal bond funds gives a mean annual expense of 0.89 percent with a stande deviation of 0.23 percent. Let in be the mean annual expense for stock funds, and let #2 be the mean annual expense for municipal bond funds. Do parts a, b, and c by using the equal variance. a. Setup the null and alternative hypotheses needed to attempt to establish that mean annual expense for stock funds is larger than the mean annual expense for municipal bond funds. Test these hypotheses at the 0.05 level of signicant. Use the critical-value approach. What do you conclude? b. Setup the null and alternative hypotheses needed to attempt to establish that mean annual expense for stock funds exceeds than the mean annual expense for municipal bond funds by more than 0.50 percent. Test these hypotheses at the 0.05 level of signicant. Use the critical-value approach. What do you conclude? Exercise 14.3: Suppose a sample of 11 paired differences that has been randomly selected from a normally distributed population of paired differences yields a sample mean of E = 1035 and a sample standard deviation of sd = 5. Test the null hypothesis Ho: ya 2 110 vs Ha: ,ud