QUESTION 5. A camera is housed on the end of a vibrating rod. To take a high quality image, the variance in the position of the camera must stay within a value of $0.1$ (in) $^{2}$. Snapshots are taken 32 times resulting in a sample variance of camera position being $0.115(\mathrm{in})^{2}$. Is there evidence to suggest that the camera will have a problem with the quality of its image? Test the hypothesis at $5 \%$ significance level. SP.VS.786