2. (15pts.) Pennsylvania Lottery. In Pennsylvania Match 6 Lottery, six numbers between 1 and 49 are randomly drawn. Use a calculator or a computer to generate 100 random numbers between 1 and 49 (with replacement) and calculate the mean and the standard deviation of your sample. Use a 0.05 significance level to test the claim that the sample is selected from a population with a mean equal to 25, which is the mean of the population of all drawn numbers. Include a copy of the sample you are using. Apply the five-step hypothesis testing procedure practiced in class