You wish to test the following claim (H1) at a significance level of a = 0.01. Ho:u = 54.6 H1: p / 54.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 27 with a mean of a = 47.9 and a standard deviation of SD = 15.1. What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = + What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null O fail to reject the null You wish to test the following claim (H1) at a significance level of a = 0.005. Hoill = 54.7 Hi:u # 54.7 You believe the population is normally distributed and you know the standard deviation is o = 8.9. You obtain a sample mean of M = 57.1 for a sample of size n = 36. What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = + What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... O reject the null O accept the null fail to reject the null