The department of education ran a very comprehensive study in the 1990's to determine the GPA of first generation college students (those who are the first in their family to go to college) in their freshman year. The mean GPA for first generation college students was stated in teh report to be 2.37 for males and 2.21 for females. In 2018, a consumer advocacy group is interested in whether the average GPA for first generation college females was still smaller than their male counterparts. Assume the GPA's are normally distributed. A. State the null hypothesis and the alternative hypothesis. Is the advocacy group interested in a one tail or two tail test (brief explanation)? B. Find the value of the test statistic and an associated p-value (or a range for teh p-value) if 25 males SAR yielded an average GPA 2.46 with a standard deviation of 0.16 and 25 females SAR yeilded an average GPA 2.39 with a standard deviation of 0.12. C. Determine if the test requires use of the Z table or the Table and indicate why. D. Is there evidence to support the claim at a significance level of 2%? Why or why not? What about for a significance level of 5%? why or why not.
The department of education ran a very comprehensive study in the 1990's to determine the GPA of first generation college students (those who are the first in their family to go to college) in their freshman year. The mean GPA for first generation college students was stated in teh report to be 2.37 for males and 2.21 for females. In 2018, a consumer advocacy group is interested in whether the average GPA for first generation college females was still smaller than their male counterparts. Assume the GPA's are
A. State the null hypothesis and the alternative hypothesis. Is the advocacy group interested in a one tail or two tail test (brief explanation)?
B. Find the value of the test statistic and an associated p-value (or a
C. Determine if the test requires use of the Z table or the Table and indicate why.
D. Is there evidence to support the claim at a significance level of 2%? Why or why not? What about for a significance level of 5%? why or why not.
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