The average number of pages for a simple random sample of 40 physics textbooks is 435. the average number of pages for a simple random sample of 30 mathematics textbooks is 410. assume that all page length for each types of textbooks is normally distributed. the standard deviation of page length for all physics textbooks is known to be 40, and the standard deviation of page length for all mathematics textbooks is known to be 40.
part one: assuming that on average, mathematics textbooks and physics textbooks have the same number of pages, what is the probability of picking samples of these sizes and getting a sample mean so much higher for the physics textbooks (one-sided p-value, to four places)?
part two: assuming that on average, mathematics textbooks and physics textbooks have the same number of pages, what is the probability of picking samples of these sizes and getting sample means as far apart as we did (two-sided p-value, to four decimal places)