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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

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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. Tampa Dallas n1 = 40 n2 = 50 y1 = $56,100 V2 = 59,400 SI = $6000 $2 = $7000 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significant 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 = 87. 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 14.3: 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 d = 103.5 and a sample standard deviation of sa = 5. Test the null hypothesis Ho: pa 2 110 vs H.: pa

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