1. Angelica, a college professor, took two samples consisting of 21 males and 16 females from student of XYZ University, who were enrolled in Differential Calculus. She found that the mean score of male students in midterm exam was 76.2 with a standard deviation of 7.3 and the mean score if female students was 78.5 with standard deviation of 6.5. Assume that the scores of all males and all females are normally distributed. Test at 5% level of significance if the mean score in Differential calculus for all male students is lower than that for all female students. Follow the steps in hypothesis testing.

a. Formulate the hypothesis

b. Set the level of significance

c. Determine the test statistics

d. Determine the Critical /Tabular value using the degree of freedom.

e. Compute the statistical treatment

f. Make a decision