Lady Testing Tea In the lady testing tea experiment, suppose that Ronald Fisher has prepared eight cups of tea with milk, but has not informed the lady (Muriel Bristol) of the number of cups prepared by pouring the milk before the tea. 1. In how many possible ways can the lady identify the cups (i.e., determine which is milk first and which is tea first)? 2. What is the probability that the lady will identify all the cups correctly if she has no ability to distinguish between tea first and milk first, i.,e., she chooses completely randomly? (this is what we call the P-value). Inflation and Employment The two graphs below show Egypt's unemployment rate for from 1999 till 2019 and Egypt's rate of inflation from 1986 to 2020. 3. What do you think the relationship is between inflation and unemployment between 1999 and 2019? Draw a rough sketch graph that shows the relationship between the two variables. 4. Find a plausible explanation for the relation you found out in (4). 5. What is the mean value for the unemployment rate between 1999 and 2019? Explain how you computed it. 6. What is the range of inflation rates between 1986 and 2020? 7. Based on the two figures, how do you evaluate the change of the Egyptian economy from 1999 to 2019? Has it improved, deteriorated, or remained unchanged? Explain 8. If you meet a young man in the street in 1999, what is the probability that he has a job? If you meet two different young men in 2019, what is the probability that neither of them has a job?

Egypt: Youth unemployment rate from 1999 to 2019 37.5%% 359% 32.8% 30% Youth unemployment rate 27.5%% 22. 5% 209 1990 2000 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 013 2014 2015 2016 2017 018 2019 Source Additional Information: World Bank Egypt: World Bank: ILO: 15-24 years Statista 2021