# A plant breeder claims that a new variety of fruit bush he has produced gives a higher yield of fruit than the variety it will replace. How do you test the breeder's claim at a 5% level of significance?

## A random sample of 10 bushes of the new variety is grown and the yields of the bushes recorded. The old variety has an average yield of 5.2kg/bush. It is assumed that the yield from each bush is an independent observation from a normal distribution.

You would use $\frac{\overline{x} - {\mu}_{\overline{x}}}{{\sigma}_{\overline{x}}}$ to find the z score and find the tail of tge z score.