Question

Context: Piedmont is interested in the success of its students and wants to know what the high achievers have in common. The administration believes that those who study more and who had high GPAs in high school are more likely to be successful. Likewise, they want to rule out any differences in success by gender and race.

1a) Assume you conducted the correct test and found the following result:

T-value = 1.94

Critical value = 2.00

Level of significance = 0.05

P-value = 0.07

Based on this result, would you reject or not reject?

a) Reject

b) Not Reject

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1b) Based on this result, which of the following best describes what you could conclude?

a) There is no difference in GPA between males and females.

b) Males have a higher GPA.

c) Females have a higher GPA.

d) There is a difference in GPA between males and females.

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1c) Assume you conducted the correct test and found the following result:

F = 0.21

Critical value = 2.12

Level of significance = 0.05

P-value = 0.89

Based on this information, which of the following could you conclude?

a) There is no difference in GPA between the races.

b) Caucasians have a higher GPA.

c) African-Americans have a higher GPA.

d) There is a difference in GPA between the races.

Thank you for your help.

Answer 1

Do 10 Bieces I valle, llegul = 1.94 men, we are to conduct to test for the hypotheses – "Ho GPA of males & females are same ta's GPA of males & females are not samce To connect this, we are to do a bother tailed test. Hence, we reject to at level 71 > Taz; nt. I absenced or, if p-vale a level of significance. Hene, obsemed 4) = (1994)=1094 2 Tagsnr=2 & per p-value = 0.07 > tenel of significance do not rey reject. ☺ Hence, we on this result, Based . There is no difference in GPA beforeer males & females.@ DO Again, p-value = 0.89 3) lence of significancer 0.05 F 2012 < critical value=212 &&, obcenned blence, here also, we do not reject Ho. Based on this result, in GPA o there is no difference between the races.