An article in the san jose mercury news stated that students in the california state university system take 4.5 years, on average, to finish their undergraduate degrees. suppose you believe that the mean time is longer. you conduct a survey of 39 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. do the data support your claim at the 1% level? note: if you are using a student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)