(3)A university claims that the average tertiary entry (TE) score of applicants to its business studies program has increased during the past three years. Three years ago, the mean and the standard deviation of TE scores of the university's business studies program applicants were 920 and 20, respectively. In a sample of 36 of this year's applicants for the program, the mean TE score was 925. At the 5% level of significance, can we conclude that the university's claim is true? (Assume that the standard deviation is unchanged.)

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(3)A university claims that the average tertiary entry (TE) score of applicants to its business studies program
has increased during the past three years. Three years ago, the mean and the standard deviation of TE scores
of the university's business studies program applicants were 920 and 20, respectively. In a sample of 36 of
this year's applicants for the program, the mean TE score was 925. At the 5% level of significance, can we
conclude that the university's claim is true? (Assume that the standard deviation is unchanged.)
Transcribed Image Text:(3)A university claims that the average tertiary entry (TE) score of applicants to its business studies program has increased during the past three years. Three years ago, the mean and the standard deviation of TE scores of the university's business studies program applicants were 920 and 20, respectively. In a sample of 36 of this year's applicants for the program, the mean TE score was 925. At the 5% level of significance, can we conclude that the university's claim is true? (Assume that the standard deviation is unchanged.)
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