The mean city wide score for the population of first year students high school students is u = 600.

An investigator wishes to test if the mean SAT of first year psychology majors is significantly different from the mean score of the population. The mean of a sample of 100 randomly selected first year psychology majors is Xbar = 624 with a standard deviation = 100 (alpha = 0.05)

a) Calculate the value of the Standard Error for the means of sample size 100 of Psychology Majors

b) Calculate the value of the critical t or z score (you choose which is appropriate based on whether the population or sample distribution is known)for the above problem.

c) Calculate the t value for this hypothesis test (hint: it's a two sided hypothesis test)

d) Calculate the p value for this hypothesis test (hint: it's a two sided hypothesis test). Hint using Excel p = tdist( t, deg of freedom, tails).