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Thirty-five employees who completed two years of college were asked to take a basic mathematics test. The mean and standard deviation of their scores were

Thirty-five employees who completed two years of college were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 employees who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively. Assume that we have equal variances. Calculate the pooled variance. Keep to 2 decimal places.

Thirty-five employees who completed two years of college were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 employees who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively. Assume that we have equal variances, estimate with 90% confidence the difference in mean scores between the two groups of employees. What is the upper confidence limit? Keep to 2 decimal places.

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