Suppose that you were told that average hourly wages in State A and State B are different. However, you have your own suspicion that it could be the same. You suggest to your brother, who is attending a school in State B to collect data on hourly wage as part of your project You do the same for State A as your school is located in State A. The accompanying table shows your and your brother's findings. Average Hourly Wages in State A and State B, in dollar State A State B Ystate A Sstate A Nstate A Ystate B Sstate B Nstate B 155 57.8 3.9 58.7 4.2 157 (p) significant at the 1% level? Which critical value did you use? Why would this number be Calculate the t-statistic for comparing the two means. Is the difference statistically smaller if you had assumed a one-sided alternative hypothesis? What is the intuition behind this? What about at 5% level? (e)

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