Some employees were surveyed to see how many hours they feel they do productive work per day. 30 government employees surveyed reported 6.9 hrs with a standard deviation of 1.4 hours. 30 private company employees surveyed reported a mean of 6.8 hrs with a standard deviation of 1.5 hours. Test at the 5% significance level that the city/government employees feel more productive than private company employees. What's the critical value and what is the conclusion?
Note: populations are normally distributed. It has equal but unknown standard deviations.
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