You wish to test the following claim (Ha) at a significance level of a = 0.005. H0\": = 54.2 Ham. 74 54.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 14 with mean M = 51.1 and a standard deviation of SD = 8.4. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the -value for this sample? (Report answer accurate to four decimal places.) The . -value is.. . less than (or equal to) a: a greater than a 0' \\/ This test statistic leads to a decision to... reject the null accept the null . fail to reject the null 05 \\/ As such the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 54.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 54.2. The sample data support the claim that the population mean is not equal to 54.2. 9 There is not sufficient sample evidence to support the claim that the population mean is not equal to 54.2. 0' \\/ You wish to test the following claim (Ha) at a significance level of a = 0.01. How: = 72.5 Ham. > 72.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 205 with a mean of M = 77.3 and a standard deviation of SD = 19.1. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = C] What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = C] The test statistic is. . . o in the critical region not in the critical region 06 \\/ This test statistic leads to a decision to... a reject die null accept the null fail to reject the null 05 J As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 72.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 72.5. The sample data support the claim that the population mean is greater than 72.5. There is not sufficient sample evidence to support the claim that the population mean is greater than 72.5