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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.

Respuesta :

Answer

given,                          

Entrance exam in 1975

mean (μ) = 501

For 2005                              

Random sample = 40,000

x = 499                                  

s = 100                                          

test statistics                              

[tex]t = \dfrac{\bar{X}-\mu}{\dfrac{S}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{499 - 501}{\dfrac{100}{\sqrt{40000}}}[/tex]

[tex]t = \dfrac{-2}{\dfrac{100}{200}}[/tex]              

[tex]t = \dfrac{-2}{0.5}[/tex]                        

t = -4.000                                                

P-Value = 0.000064

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