The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random...

The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 138 minutes with a standard deviation of 46 minutes. At

 level, is the student academic group's claim correct?


Note: If you are using a Student'st-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

a)State thep-value. (Round your answer to four decimal places.)

b)State alpha. (Enter an exact number as an integer, fraction, or decimal.)