In a study to evaluate the performance of students in an engineering examination, 15 students were randomly selected for study. It was found out that their mean score was 58.75%. From past records, the mean score of students in the same examination is 61.75% with a standard deviation of 3.75%. The departments policy stipulates that any mean score less than 61.75% is unacceptable. Formulate the hypothesis and test the null hypothesis at 1% level of significance. What is your conclusion?

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In a study to evaluate the performance of students in an engineering examination, 15 students were randomly
selected for study. It was found out that their mean score was 58.75%. From past records, the mean score
of students in the same examination is 61.75% with a standard deviation of 3.75%. The departments policy
stipulates that any mean score less than 61.75% is unacceptable. Formulate the hypothesis and test the
null hypothesis at 1% level of significance. What is your conclusion?

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