Example 134: In a case in Ireland, a class action lawsuit was brought against the government alleging age discrimination. The ages of 31 randomly selected unsuccessful applicants for promotion yielded a mean age of 47 and a standard deviation of 7.2 years. The ages of 30 randomly selected successful applicants yielded an average age of 43.9 and a standard deviation of 5.9 years. Using a 5% significance level, test the claim that the government is discriminating based on age.

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Example 134: In a case in Ireland, a
class action lawsuit was brought
against the government alleging age
discrimination.
The ages of 31
randomly selected unsuccessful applicants for promotion
yielded a mean age of 47 and a standard deviation of 7.2
years. The ages of 30 randomly selected successful
applicants yielded an average age of 43.9 and a standard
deviation of 5.9 years. Using a 5% significance level, test
the claim that the government is discriminating based on
age.
Transcribed Image Text:Example 134: In a case in Ireland, a class action lawsuit was brought against the government alleging age discrimination. The ages of 31 randomly selected unsuccessful applicants for promotion yielded a mean age of 47 and a standard deviation of 7.2 years. The ages of 30 randomly selected successful applicants yielded an average age of 43.9 and a standard deviation of 5.9 years. Using a 5% significance level, test the claim that the government is discriminating based on age.
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