It is important for airlines to know the approximate total weight of the baggage carried on each airplane. An airline researcher believes that the mean baggage for each adult is 60 kg. To test his belief, he draws a random sample of 50 adult passengers and weighs their baggage. He finds the sample mean to be 57.1 kg. If he know that the population standard deviation is 10 kg, can he conclude at the significance level that he belief is correct? Test at a=.05.