The Head of the Mathematics Department announced that the mean score of Grade 11 students in the second periodical test in Statistics was 89, and the standard deviation was 12. One student believed that the mean score was less than this, randomly selected 34 students, computed their mean score, and obtained a mean score of 85. At 0.01 level of significance, test the student's belief.

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Draw the conclusion by conducting the test of hypothesis. Show the solution using the critical-value method and the p-value method

The Head of the Mathematics Department announced that the mean score of Grade
11 students in the second periodical test in Statistics was 89, and the standard
deviation was 12. One student believed that the mean score was less than this,
randomly selected 34 students, computed their mean score, and obtained a mean
score of 85. At 0.01 level of significance, test the student's belief.
Transcribed Image Text:The Head of the Mathematics Department announced that the mean score of Grade 11 students in the second periodical test in Statistics was 89, and the standard deviation was 12. One student believed that the mean score was less than this, randomly selected 34 students, computed their mean score, and obtained a mean score of 85. At 0.01 level of significance, test the student's belief.
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