a statistics teacher believes that students in an evening class score higher tha

Question

a statistics teacher believes that students in an evening class score higher than the students in a day class. The results of a special exam are shown below. Can the teacher conclude that the evening students have a higher score? Use a=0.01

day students n1=36 x1=73 s1=5.8 night students
n2=41
x2=76 s2=6.3
a statistics teacher believes that students in an evening class score higher than the students in a day class. The results of a special exam are shown below. Can the teacher conclude that the evening students have a higher score? Use a=0.01

day students n1=36 x1=73 s1=5.8 night students
n2=41
x2=76 s2=6.3

Explanation / Answer

The test statistic is t= (76-73)/ sqrt [(6.3)^2/41 + (5.8)^2/36]= 3/1.38= 2.18. Consulting a t table with degrees of freedom of 35 (36 (the smaller sample size)-1) we have a p-value of .01

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