Use the Following to Answer Questions

question 37

Short Answer

Use the following to answer questions :
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.
-Do you reject or fail to reject the null hypothesis at the 2.5% significance level? State your answer as "reject" or "fail to reject",but don't include the quotation marks.

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Definitions:

Sex Differences

The biological and psychological distinctions between males and females, often studied in various contexts including cognitive abilities, behavior, and social roles.

Stereotypically

In a way that involves a fixed, generalized, and oversimplified image or idea of a particular type of person or thing.

Gender Identity

An individual's personal sense of their own gender, which may or may not correspond with the sex they were assigned at birth.

Cultural Constructions

The ways in which cultures are understood, created, and perpetuated through social practices, beliefs, and institutions.