3 Yin grows two varieties of potato, plant \(A\) and plant \(B\). A random sample of each variety of potato is taken and the yield, \(x \mathrm {~kg}\), produced by each plant is measured. The following statistics are obtained from the data.
| Number of plants | \(\sum x\) | \(\sum x ^ { 2 }\) |
| \(A\) | 25 | 194.7 | 1637.37 |
| \(B\) | 26 | 227.5 | 2031.19 |
- Stating your hypotheses clearly, test, at the \(10 \%\) significance level, whether or not the variances of the yields of the two varieties of potato are the same.
- State an assumption you have made in order to carry out the test in part (a).