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. a) Formulate the hypotheses that could be used to determine whether that a difference exists between the two groups b) Calculate the degree of freedom. c) Compute the value of the test statistic d) Can we infer at the 10% significance level that a difference exists between the two groups? e) Estimate with 90% confidence the difference in mean scores between the two groups of employees