4) A student advisor believes that undergraduate student's grades earned in a given semester (as measure by GPA) depend on their class standing (Freshman, Sophomore, Junior or Senior). a) What is the appropriate null and alternate hypothesis to determine if student's grades (as measure by GPA) depend on their class standing? b) Choose a level of a. Use a = 0.05 for this problem. c) To test the hypothesis, the student advisor randomly selects 25 undergraduate students and records the GPA of the classes they took in the previous semester and their class standing that semester. The data appear in the UG GPA worksheet of the Chp 18 HW data workbook on Moodle. Use the Kruskal-Wallis test to test the hypothesis that student's grades (as measure by GPA) depend on their class standing. Calculate the sum of ranks for each class standing. d) Sketch the sampling distribution. Include the critical value and test statistic e) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem. f) What is the p-value for the hypothesis test.

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4) A student advisor believes that undergraduate student's grades earned in a given
semester (as measure by GPA) depend on their class standing (Freshman,
Sophomore, Junior or Senior).
a) What is the appropriate null and alternate hypothesis to determine if student's
grades (as measure by GPA) depend on their class standing?
b) Choose a level of a. Use a = 0.05 for this problem.
To test the hypothesis, the student advisor randomly selects 25 undergraduate
students and records the GPA of the classes they took in the previous semester
and their class standing that semester. The data appear in the UG GPA worksheet
of the Chp 18 HW data workbook on Moodle. Use the Kruskal-Wallis test to test
the hypothesis that student's grades (as measure by GPA) depend on their class
standing. Calculate the sum of ranks for each class standing.
d) Sketch the sampling distribution. Include the critical value and test statistic
e) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in
the context of the problem.
f) What is the p-value for the hypothesis test.
Transcribed Image Text:4) A student advisor believes that undergraduate student's grades earned in a given semester (as measure by GPA) depend on their class standing (Freshman, Sophomore, Junior or Senior). a) What is the appropriate null and alternate hypothesis to determine if student's grades (as measure by GPA) depend on their class standing? b) Choose a level of a. Use a = 0.05 for this problem. To test the hypothesis, the student advisor randomly selects 25 undergraduate students and records the GPA of the classes they took in the previous semester and their class standing that semester. The data appear in the UG GPA worksheet of the Chp 18 HW data workbook on Moodle. Use the Kruskal-Wallis test to test the hypothesis that student's grades (as measure by GPA) depend on their class standing. Calculate the sum of ranks for each class standing. d) Sketch the sampling distribution. Include the critical value and test statistic e) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem. f) What is the p-value for the hypothesis test.
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31
A
B
Student Class Standing
1
Senior
2
Junior
Senior
Sophomore
Junior
Sophomore
Junior
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Sophomore
Senior
Junior
Junior
Junior
Freshman
Sophomore
Senior
Senior
Sophomore
Freshman
Freshman
Freshman
Junior
Freshman
Senior
Sophomore
Sophomore
C
GPA
3.01
2.89
3.81
2.29
3.33
3.11
3.67
2.96
2.45
3.45
3.26
2.98
3.47
3.32
3.32
3.17
3.89
2.19
2.71
2.14
3.01
1.91
3.02
2.82
2.02
D
E
Transcribed Image Text:123456789 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 A B Student Class Standing 1 Senior 2 Junior Senior Sophomore Junior Sophomore Junior 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Sophomore Senior Junior Junior Junior Freshman Sophomore Senior Senior Sophomore Freshman Freshman Freshman Junior Freshman Senior Sophomore Sophomore C GPA 3.01 2.89 3.81 2.29 3.33 3.11 3.67 2.96 2.45 3.45 3.26 2.98 3.47 3.32 3.32 3.17 3.89 2.19 2.71 2.14 3.01 1.91 3.02 2.82 2.02 D E
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