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2. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. Calculate differences in the number of balls. The differences have a normal distribution. Test at the 1% significance level. D E F Subject A B C Before 3 4 3 2 4 5 6 4 5 7 After 4 5 Difference a) State the null and alternative hypothesis b) What is the p-value? c) What is the sample mean difference? d) Draw the graph of the p-value. e) What conclusion can you draw about the juggling class