Two Sample Test of Hypothesis
1. Mary Jo is the Vice President of Nursing services at St. Luke’s Memorial Hospital. Recently she noticed that in the job postings for nurses that those that are unionized seem to offer higher wages. She decided to investigate and gathered the following sample information.
Group Mean Wage Sample Std Deviation Sample Size
Union $20.75 $2.25 40
Nonunion $19.80 $1.90 ; 45
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Would it be reasonable for her to conclude that union nurses earn more? Use the .02 significance level. Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? Salary datashow staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa Tribune, January15, 2007). Suppose that in a follow-up study of 40 staff nurses in Tampa and 50 staffnurses in Dallas you obtain the following results.Tampa Dallasn1 40 n2 50 $56,100 $59,400s1 $6000 s2 $7000a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude thatsalaries for staff nurses in Tampa are significantly lower than for those in Dallas.Use a .05.b. What is the value of the test statistic?c. What is the p-value?d. What is your conclusion?