In an international mathematics competition, the mean score obtained was 54.0 and the standard deviation was 9.0. At ABC High School, in one of the participating countries, 40 students entered the competition and their mean score was 57.0. The principal of ABC High School states that his students scored better than the international average. (i) Perform a significance test at 1 % to show that the principal is NOT justified in making this statement. (ii) Is the principal justified in making this statement at the 5 % significance level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Question
In an international mathematics competition, the mean score obtained was 54.0 and the standard
deviation was 9.0. At ABC High School, in one of the participating countries, 40 students entered the
competition and their mean score was 57.0.
The principal of ABC High School states that his students scored better than the international average.
(i) Perform a significance test at 1 % to show that the principal is NOT justified in making
this statement.
(ii) Is the principal justified in making this statement at the 5 % significance level?
Transcribed Image Text:In an international mathematics competition, the mean score obtained was 54.0 and the standard deviation was 9.0. At ABC High School, in one of the participating countries, 40 students entered the competition and their mean score was 57.0. The principal of ABC High School states that his students scored better than the international average. (i) Perform a significance test at 1 % to show that the principal is NOT justified in making this statement. (ii) Is the principal justified in making this statement at the 5 % significance level?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning