There is a population of test scores with an unknown standard deviation. You sample 21 scores from this population, and you calculate the mean and standard deviation. You get a value for the mean that...

There is a population of test scores with an unknown standard deviation. You sample 21 scores from this population, and you calculate the mean and standard deviation. You get a value for the mean that is 1.5 standard errors greater than what you think is the population mean. What is the probability that you would get a value 1.5 standard deviations or more from the mean in this t distribution?