Questionpueblo was occupied around 1298 A.D. (based on evidence from potsherds and stone tools). The following data give trem-ring dates (A.D.) from adjacent archaeological sites: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline 1196 & 1274 & 1275 & 1282 & 1282 & 1278 & 1279 & 1323 & 1324 & 1237 \\ \hline \end{tabular} § USE SALT (a) Use a calculator with sample mean and standard deviation keys to find $\bar{x}$ and $s$. (Write your standard deviation in years and round it to four decimal place.) $$\begin{array}{l} \bar{x}=\square \mathrm{X} \text { A.D. } \\ s=\text { Enter an exact number yr } \end{array}$$
1298 A.D.? Use a $1 \%$ level of significance. (i) What is the level of significance? 0.01
State the null and alternate hypotheses. (Enter $!=$ for $\neq$ as needed.) $$\begin{array}{l} H_{0}: \mu=1298 \\ H_{1}: \mu!=1298 \end{array}$$ (ii) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. We'll use the standard normal, since we assume that $x$ has a normal distribution and $\sigma$ is unknown. We'll use the standard normal, since we assume that $x$ has a normal distribution and $\sigma$ is known. We'll use the Student's $t$, since we assume that $x$ has a normal distribution and $\sigma$ is unknown. We'll use the Student's $t$, since we assume that $x$ has a normal distribution and $\sigma$ is known.
Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.) $\square$ 9:54 AM