Answer:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)
Step-by-step explanation:
Given that:
The mean age of judges in Dallas is greater than 50.2 years.
If a hypothesis test is performed, then the null and the alternative hypothesis can be computed as follows:
The null hypothesis is that the mean age of the judges in Dallas is equal to 50.2
i.e
[tex]H_o : \mu =50.2[/tex]
The alternative hypothesis is that the mean age of the judges in Dallas is greater than 50.2
i.e
[tex]H_1 : \mu > 50.2[/tex]
Decision Rule: Fail to reject the null hypothesis.
The interpretation of this decision rule implies that:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)