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A sample of 31 male students and another sample of 33 female students from the same college produced mean G.P.As of 2.66 for the males and 2.89 for the females.Suppose that the standard deviations of the G.P.As are 0.71 for the males and 0.63 for the females.The null hypothesis is that the mean G.P.A's are the same for males and females,while the alternative hypothesis is that the mean G.P.A for males is less than the mean G.P.A for females.
-The significance level for the test is 2.5%.What is the critical value of z?


Definitions:

Sociological Imagination

The ability to see the relationship between individual experiences and the larger society, understanding personal issues as part of broader social problems.

Economic Options

The various choices available to individuals, businesses, and governments regarding the consumption, investment, and distribution of resources.

Sociological Imagination

The ability to see the relationship between individual experiences and the larger society, understanding personal issues as part of complex societal and historical forces.

Social Forces

Complex societal factors such as norms, laws, and cultural values that influence individuals' behaviors and interactions within society.

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