10. A professor took two samples, one of 21 males and another of 15 females from university students who were enrolled in business statistics at the same university. He found that the mean score of male students in a midterm was 75.3 with a standard deviation of 6.4, and the mean score of female students was 78.3 with a standard deviation of 7.3. Assume that the score of all male and all female students are normally distributed but unknown standard deviations. Test at the 5% signicance level if the mean score in business statistics for all male and female students are the same against the alternative that male students have lower score than that for all female students. 1 1. Make the following tests of hypotheses. a) He: P0 :0-7;Ha2 p0 750.7 n=500; n1= 340; 0 =0.01; b) Ho: P0 20-3;Ha: 1% >03 n=230; n1= 75; a 0.1; C) Ho: p1 =P2; Ha: P1