Question 1 Background GPA Comparisons by Dorm Does the average GPA of undergradu

Question

Question 1 Background GPA Comparisons by Dorm Does the average GPA of undergraduate students vary among dorms? Suppose we are interested in determining whether significant differences exist in grade point averages (GPAs) among residents of three different dormitories, A, B and C Question 1 subquestions 1.a A partially completed ANOVA table is provided below. Report the missing point(s) four decimal places if rounding is necessary Df Sum sq Mean Sq F value Pr( F) Source C 4.911. 0.0217 Dorm B D Residuals 33 Total 35 23.708 No answer entered. Click above to enter an answer 1.b We vaguely remember that an assumption about normality is required to perform the inference. What is this assumption? point(s) The sample of GPAs for undergraduate students who live in each of the three dorms are normally distributed The population of undergraduate students who live in each of three dorms are normally distributed. The populations of GPAs for undergraduate students who live in each of the three dorms are normally distributed. The GPAs for the sample of 36 undergraduate students are normally distributed The GPAs for the population of all undergraduates are normally distributed. 1.c We also remember that an assumption about variance is required to perform the inference. What is this assumption? point(s) The populations of GPAs for undergraduate students who live in each of the three dorms have similar standard deviations. The populations of GPAs for undergraduate students who live in each of the three dorms have equal standard deviations. The sampled GPAs for undergraduate students who live in each of the three dorms have similar standard deviations. The sampled GPAs for undergraduate students who live in each of the three dorms have equal standard deviations.

Explanation / Answer

1.a ) The completed ANOVA table is given below :

1.b ) The population of GPA's for undergraduate students who live in each of the three dorms are normally distributed .

1.c ) The population of GPA's for undergraduate students who live in each of the three dorms have equal standard deviations .

1.d ) The three sample standard deviations ( s1 = 0.8321 , s2 = 0.8936 , s3 = 0.5394 ) are not the same , therefore we can conclude that the standard deviation for the population of GPA's for undergraduate students who live in each of the three dorms is not the same for the three dorms .

ANOVA Source DF Sum sq Mean Sq F p Dorm 2 4.911 2.4555 4.3109 0.0217 Residuals 33 18.797 0.5696 Total 35 23.708

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.