Astudy considers if the mean score on a college entrance exam for students in 2005 is any different from the mean score of 501 for students who took the same exam in 1975. let μ represent the mean score for all students who took the exam in 2005. for a random sample of 40,000 students who took the exam in 2005, x = 499 and s = 100. (a) find the test statistic.

Answer

given,                          

Entrance exam in 1975

mean (μ) = 501

For 2005                              

Random sample = 40,000

x = 499                                  

s = 100                                          

test statistics                              

t = -4.000                                                

P-Value = 0.000064

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.