Question 5.

The government of Japan had claimed that the average retirement age for Japanese workers is 68.5. The labour ministry decided to conduct a random survey of 186 office workers who had retired this year and found that the average age of retirement turned out to be 70.1 with a population standard deviation of 10.5 years. Solve the following with clear workings.

a)

State the null and alternate hypotheses.

b)

Calculate the Z-statistic and p-value.

c)

Is there sufficient evidence to support the government of Japan's claims at a 5% significance level?