1. You wish to test the following claim (HaHa) at a significance level of =0.05. H0:12 Ha:1>2 You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size n1=13 with a mean of M1=53.8 and a standard deviation of SD1=20.6. You obtain a sample of size n2=20with a mean of M2=31.4 and a standard deviation of SD2=16.4

Find the test statistic and p value.

2. You wish to test the following claim (HaHa) at a significance level of =0.01. Ho:p1=p2 Ha:p1p2 You obtain 493 successes in a sample of size n1=584 from the first population. You obtain 593 successes in a sample of size n2=663 from the second population.

Find test statistic and pvalue.

3. The sample consisted of 45 night students, with a sample mean GPA of 3.21 and a standard deviation of 0.05, and 25 day students, with a sample mean GPA of 3.23 and a standard deviation of 0.04. At the .1 significance level. Find the test statistic