Question

Some employees were surveyed to see how many hours they feel they do productive work per...

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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