2. A sample scores on an examination given in Statistics 201 are : n 72 69 98 66 85 76 79 80 77 Women 81 67 90 78 81 80 76 At the 0.01 significance level, is the mean grade of the women higher than that of the men? 3. Lisa wants to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, she collected the following information on the amounts earned last week by a sample of school teachers and nurses. School 845 826 827 875 784 809 802 820 829 830 842 832 Teachers($) Nurses($) 841 890 821 771 850 859 825 829 Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level.1. The null and the alternate hypothesis: Ho : u1 = 12 H1: u1 / 12 A sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and sample standard deviation of 5. At the 0.05 significance level, is there a difference between the population means