An analysis is concerned about the level of knowledge possessed by students regarding Caribbean History. Students completed a prerequisite history course before entering the University. The table below shows the students’ results on the prerequisite exam categorized by their major. Education Economics Statistics Chemistry 57 72 42 80 85 49 52 37 62 63 31 87 58 68 80 64 67 39 22 28 54 79 71 29 26 40 88 62 36 22 76 45   Using the 10% significance level, test the hypothesis that the mean grade on the prerequisite history exam is the same across majors. Define the null and alternative hypothesis for the ANOVA model. Complete the relevant ANOVA table. What is your conclusion for the ANOVA results?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Question

An analysis is concerned about the level of knowledge possessed by students regarding Caribbean History. Students completed a prerequisite history course before entering the University. The table below shows the students’ results on the prerequisite exam categorized by their major.

Education

Economics

Statistics

Chemistry

57

72

42

80

85

49

52

37

62

63

31

87

58

68

80

64

67

39

22

28

54

79

71

29

26

40

88

62

36

22

76

45

 

Using the 10% significance level, test the hypothesis that the mean grade on the prerequisite history exam is the same across majors.

  1. Define the null and alternative hypothesis for the ANOVA model.
  2. Complete the relevant ANOVA table.
  3. What is your conclusion for the ANOVA results?
  4. Confirm your answer using SPSS. Provide the relevant output tables
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt