You wish to test the following claim ( H a ) at a significancelevel of ? = 0.02 . H o : ? = 61.5 H a : ? ? 61.5 You believe thepopulation is normally distributed, but you do not know thestandard deviation. You obtain a sample of size n = 15 with mean ¯x = 75.7 and a standard deviation of s = 15.7 . What is the teststatistic for this sample? test statistic = Round to 3 decimalplaces What is the p-value for this sample? p-value = UseTechnology Round to 4 decimal places. The p-value is... less than(or equal to) ? greater than ? This test statistic leads to adecision to... reject the null accept the null fail to reject thenull As such, the final conclusion is that... There is sufficientevidence to warrant rejection of the claim that the population meanis not equal to 61.5. There is not sufficient evidence to warrantrejection of the claim that the population mean is not equal to61.5. The sample data support the claim that the population mean isnot equal to 61.5. There is not sufficient sample evidence tosupport the claim that the population mean is not equal to61.5.
