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?

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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?
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