Question

Unemployment is a serious social and economic problem in developed as well as in developing countries. In any country unemployment has serious negative effects on its economy. Unemployment has also serious effect on the society of the country. Governments and other organization take up unemployment surveys periodically.

In one of such surveys, the average waiting time for university graduates before getting job was at least 300 days in 2018. A researcher wanted to check if the waiting time has changed this year. He took a random sample of 100 un­employed university graduates and found that the sample mean of unemployment duration was 290 days with a standard deviation of 50 days. Assume that the unemployment period is normally distributed.

You are required to help the surveyor to analyze the data and give him the result. To do so, you should follow the following steps.

Steps	Marks
Write null and alternative hypotheses.	2
Find the p – value for this test.	5
Write your decision if α = 0.01?	1.5
Write your decision if α = 0.05?	1.5
TOTAL	10

note: not argent (within 2 days)

Answer 1