Researchers interviewed college students in the United States and Europe. The me

Question

Researchers interviewed college students in the United States and Europe. The mean age of 81 United States college studentswas 21with a standard deviation of 6. The mean age of 92 European college studentswas 19with a standard deviation of 7.Is the mean age of college students in Europelower than the mean age in the United States? Test at a 0.03 significance level. Use the value of 170.885 for the degrees of freedom. Show your work.

a. Give the symbolic null & alternativehypotheses.Use correct notation.H0: ______________________HA: ______________________

b. Determine the test statistic(round to 3 decimal places): _______________

c. Determine the p-value(round to 3 decimal places):______________

Explanation / Answer

Ho : miu 1 = miu 2

H1 miu 1 < miu 2

t = [21-19] / srqt [ 6^2 / 81 + 7^2 / 92 ]

t = 2.023

p value 0.022

we reject Ho because p value is lower tha significance level

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