Velvetleaf is a particularly annoying weed in corn fields. It produces lots of seeds, and the seeds wait in the soil for years until conditions are right. The velvetleaf seed beetle feeds on the seeds and might be a natural weed control. Here are the percent of seeds infected for 14 randomly selected velvetleaf plants:
Percent Infected | 5.2 | 5.5 | 6.1 | 5.7 | 2.3 | 0.5 | 0.7 |
5.1 | 4.7 | 9.3 | 8.1 | 7.3 | 6.6 | 5.2 |
For the beetle to be successful at Velvetleaf weed control, they need to infect more than 5.0% of the seeds on average.
STATE: Is there evidence the average percent of Velvetleaf seeds infected by the beetle is greater than 5.0%?
SOLVE: Check the conditions for the test. Select the following statements that are correct in terms of the current scenario.
We know the population standard deviation. |
We don't know if the population is normally distributed and the sample size is small. |
The sample size is small but we know the population is normally distributed. |
The sample was obtained randomly. |
We don't know the population standard deviation. |
The sample was not obtained randomly. |