A sample of 65 observations is taken from population A. The sample mean is 2.67 and the sample standard deviation is 0.75.
A sample of 50 observations is taken from population B. The sample mean is 2.59 and the sample standard deviation is 0.66.
Conduct a hypothesis test to test that the population mean for population A is no greater than the population mean for B. Use the 0.08 significance level.