1. The Graduate Record Examination (GRE) is a test required for admission to man

Question

1. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution. (Source.

www.ets.org) Suppose a random sample of 10 economics students took the test, and their scores are given below.

158, 166, 158, 149, 154, 164, 169, 144, 155, 160

Test the claim that the mean quantitative score is greater than 152.1 at the 0.10 level of significance.

i. State your null and alternative hypothesis:

ii. Describe what you type into your calculator to have it run the numbers.

iii. State your P-value

iv. State your conclusion is a way a non-stat student would understand.

Explanation / Answer

(i)here null hypothesis: mean <=152.1

alternate hypothesis: mean>152.1

from above test stat t =(X-mean)/std error =(157.7-152.1)/2.418 =2.316

for above test stat and 9 degree of freedom ; p value =0.0229

as p vlaue is less then 0.1 , we reject the null hypothesis,

and from above that there is sufficent evidence to conclude that mean quantitative score is greater than 152.1 at 0.1 level of significance

X 158.000 166.000 158.000 149.000 154.000 164.000 169.000 144.000 155.000 160.000 mean(X) 157.700 std deviation(S) 7.646 std error =S/(n)1/2 2.418

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