# Help with hypothesis test

• May 5th 2010, 08:31 PM
bigh77
Help with hypothesis test
Full time Ph.D. Students receive an average salary of $12,837 with a standard deviation of$1500 according to the U.S. Department of Education. The dean of a graduate school at a large state university feels that Ph.D. students in his state earn more than this. He surveys 44 randomly selected students and finds their average salary is $13,445. With α = 0.05, is the dean correct? • May 5th 2010, 09:55 PM autumn Quote: Originally Posted by bigh77 we are doing hypothesis testing and i am completely lost please help. Full time Ph.D. Students receive an average salary of$12,837 with a standard deviation of $1500 according to the U.S. Department of Education. The dean of a graduate school at a large state university feels that Ph.D. students in his state earn more than this. He surveys 44 randomly selected students and finds their average salary is$13,445. With α = 0.05, is the dean correct?
$\displaystyle H_0:\mu=12,837$ vs. $\displaystyle H_1:\mu>12,837$
the approximate test statistic, via the central limit theorem, is $\displaystyle Z={13445-12837\over 1500/\sqrt{44}}$
The critcal region is $\displaystyle (1.645,\infty)$