Week 5 Problem Sets 1. A university president believes that, over the past few years, the average age of students attending her university has changed. To test this hypothesis, an experiment is conducted in which the age of 150 students who have been randomly sampled from the student body is measured. The mean age is 22.7 years. A complete census taken at the university a few years before the experiment showed a mean age of 21.2 years, with a standard deviation of 6.6. Research problem (2 points): Has the average age of students attending the president’s university changed over the past few years from 21.2 years? Statistical hypotheses (4 points): Null hypothesis: Over the past few years, the average age of students attending her university has not changed. 𝑯𝟎 : 𝝁 = 𝟐𝟏. 𝟐 𝒚𝒆𝒂𝒓𝒔 Alternative hypothesis: Over the past few years, the average age of students attending her university has changed. 𝑯𝟏 : 𝝁 ≠ 𝟐𝟏. 𝟐 𝒚𝒆𝒂𝒓𝒔 Decision Rule: Reject the null hypothesis at the .05 level of significance of the obtained Z is greater than or equal to _____1.96_______ or less than or equal to _____-1.96_____. (4 points) Calculations ( ...
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