Question

A study 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 1

given,

Entrance exam in 1975

mean (μ) = 501

For 2005

Random sample = 40,000

x = 499

s = 100

test statistics

`t = \frac{\bar{X}-\mu}{(S)/(√(n))}`

`t = (499 - 501)/((100)/(√(40000)))`

`t = (-2)/((100)/(200))`

`t = (-2)/(0.5)`

t = -4.000

P-Value = 0.000064