We collect two samples. Sample one has the average value of 75 and contains 30 observations. Sample two has the average value of 80 and has 50 observations. The population standard deviation associated with the first sample is known to be 10 and the population standard deviation associated with the second sample is known to be 12.
Based on the above information would a 90% test (alpha is 10%), reject or fail to reject the hypothesis that the mean of the second population exceeds the mean of the first population by 10 points?
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