A group of students is concerned with the amount of coffee dispensed from a certain coffee machine. They hypothesize that on average, it dispenses less than 6 oz of coffee into a cup, i.e. they want to test the hypotheses H0:6 H 0 : 6 versus Ha:<6 H a : < 6 . Assume that fills vary according to a normal distribution. A sample of 30 cups filled by the machine produces the value of the test statistic of -3.45 (this value may or may not be the correct answer to the previous problem). The p-value is

between .003 and .008

between .027 and .041

less than .003

greater than 0.105