Question: (12 points) Suppose that an anxiety scale is expressed as T scores, so that \(\mu \) = 50 and \(\sigma \) = 10. After an earthquake hits their town, a random sample for the town's people yields the following anxiety scores: 72, 59, 54, 56, 48, 52, 57, 51, 64, 67.

(a) Test the null hypothesis that the earthquake did not affect, the level of anxiety in that town, with a two-tailed test and \(\alpha \) = 0.04. Make sure von report, both the critical values and the p value before you draw your conclusion.

(b) If your conclusion above is an error, what type of error would that, he?