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. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level.
Subject A B C D E F
Before 3 4 3 2 4 5
After 4 5 6 4 5 7
What conclusion can you draw about the juggling class? (Give an answer to this question in Step 5). Before you answer this question, use the p-value approach to hypothesis testing.
Step 1:
Step 2:
Step 3:
Step 4:
Step 5: