A sample of students attending a large university has been selected. Is there a

Question

A sample of students attending a large university has been selected. Is there a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year? The alpha will be set at 0.05. (X = X bar) Liberal Arts Other X_1 = 16.2 X_2 = 13.7 s_1 = 2.3 s_2 = 9.0 N_1 = 236 N_2 = 321 Based on the test statistic you computed for the question above, is the statement below true or false? There is a statistically significant difference between the Liberal Arts majors and other students on average number of books. Select one: True False

Explanation / Answer

here std error =(S12/n1+s22/n2)2 =0.524

hence test stat=(X1-X2)/std error =4.7695

for above test stat , p value =0.0000

as p value is significantly low; the difference is statistically significant.

hence true

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