Thirty-five employees who completed two years of tertiary education were asked to take a basic mathematics test. The mean and standard deviation of their marks 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 marks were 72.1 and 14.6, respectively.
a. Estimate with 90% confidence the difference in mean scores between the two groups of employees.
b. Explain how to use the interval estimate in part a. to test the hypotheses.

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The Answer of Thirty-five employees who completed two years of tertiary education were asked to take a basic mathematics test. The mean and standard deviation of their marks 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 marks were 72.1 and 14.6, respectively.
a. Estimate with 90% confidence the difference in mean scores between the two groups of employees.
b. Explain how to use the interval estimate in part a. to test the hypotheses.

Thirty-Five Employees Who Completed Two Years of Tertiary Education Were