Question

Use the following information to answer next five exercises. 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.

What conclusion can you draw about the juggling class?

Short answer

The null hypothesis can be overlooked with a p- value of $0.0041$. There is enough proof to suggest that taking a juggling class improves the number of balls each student can juggle.

Step-by-step solution

Given information

The table is

Assessment of the juggling class

First, test at$1\%$level of significance, that is, $\alpha =0.01$

The output from previous Exercise is :

As$\alpha <p$-value, do not overlook the null hypothesis.

At $1\%$level of significance, there is insufficient data to support the idea that juggling classes increase the number of balls that can be juggled at one time.