A. Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be? The test is: left, right or two-tailed? The sample consisted of 40 night students, with a sample mean GPA of 2.86 and a standard deviation of 0.06, and 40 day students, with a sample mean GPA of 2.91 and a standard deviation of 0.08. The test statistic is? The p-value is? Do we reject the null hypothesis or do we fail to reject the null hypothesis? B. Calculate the test-statistic using the following information. Round your answer to 2 decimal places. n1=60n1=60, x1=2.9x 1=2.9, s1=0.78s1=0.78 n2=55n2-55, x2=3.39x 2=3.39, s2=0.73s2=0.73 C. You wish to test the following claim (HaHa) at a significance level of a=0.10a=0.10. How1=p2Ho:p1=12 Ha:p1>p2Ha:p1>p2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=24n1=24 with a mean of "x1=63.8x 1=63.8 and a standard deviation of SD1=11.4SD1=11.4 from the first population. You obtain a sample of size n2=12n2=12 with a mean of "x2=52.6x 2 52.6 and a standard deviation of SD2=16.4SD2=16.4 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) aa greater than aa This test statistic leads to a decision to... reject the null accept the null