12. A university president believes that, over the past few years, the average a
ID: 3064577 • Letter: 1
Question
12. 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 study is conducted in which the age of 150 students who have been randomly sampled from the student body is measured. The mean age is 23.50 years. A complete census taken at the university a few years before the experiment showed a mean age of 2240 years, with a standard deviation of 7.60 A. What is the null hypothesis? B. What is the alternative hypothesis? C. Specify the decision rule, using the 05 level of significance.Explanation / Answer
A) Null: Average age of the students is 22.4 years
B) Alternative : Average age of the students is not equal to 22.4 years
D) Z VALUE = ( 23.5 - 22.4)/(7.6/sqrt150) =1.77265
C) critical Z value at 0.05 level of significance is +-1.96 for two tailed test. Since Z value is less than 1.96, we fail to reject the null hypothesis and tell the age has not changed.
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