You wish to test the following claim ( H a ) at a significancelevel of ? = 0.01 . H o : ? = 64.6 H a : ? < 64.6 You believethe population is normally distributed, but you do not know thestandard deviation. You obtain a sample of size n = 55 with mean ¯x = 56.7 and a standard deviation of s = 15.9 . What is the teststatistic for this sample? (Report answer accurate to two decimalplaces.) test statistic = What is the p-value for this sample?(Report answer accurate to four decimal places.) p-value = Thep-value is... less than (or equal to) ? greater than ? This teststatistic leads to a decision to... reject the null accept the nullfail to reject the null As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim thatthe population mean is less than 64.6. There is not sufficientevidence to warrant rejection of the claim that the population meanis less than 64.6. The sample data support the claim that thepopulation mean is less than 64.6. There is not sufficient sampleevidence to support the claim that the population mean is less than64.6.
