Task 3 The German national team scored the following numbers of goals in 50 randomly selected international matches Number of goals per match 1 2 3 4 18 22 5 3 2 Number of matches with this result In...

Extracted text: Task 3 The German national team scored the following numbers of goals in 50 randomly selected international matches Number of goals per match 1 2 3 4 18 22 5 3 2 Number of matches with this result In the following, assume that the goal numbers collected come from a simple random sample of the population of all international matches of the German national team. come from. 1. Determine the 95% confidence interval for the expected value of the number of goals in all international matches. 2. The standard deviation of goals per match in the population of all international matches is now given as o = 1, 0. How large must the sample size be so that the 95% confidence interval for u is not wider than 0.5 goals?