At Burnt Mesa Pueblo the method of tree ring dating gave the following dates A.D. for...

At Burnt Mesa Pueblo the method of tree ring dating gave the following dates A.D. for an archaeological excavation site: 1189 1271 1267 1272 1268 1316 1275 1317 1275

This sample has mean 1272.2 and standard deviation 36.93. Find a 90% confidence interval using these data and interpret the interval.

Solutions

Expert Solution

Solution :

sample size = n = 9

Degrees of freedom = df = n - 1 = 8

t /2,df = 1.860

Margin of error = E = t/2,df * (s / $\sqrt$ n)

= 1.860 * (36.93 / $\sqrt$ 9)

Margin of error = E = 22.9

The 90% confidence interval estimate of the population mean is,

- E < < + E

1272.2 - 22.9 < < 1272.2 + 22.9

1249.3 < < 1295.1

The 90% confidence interval estimate of the population mean is from 1249.3 to 1295.1

orchestra answered 1 year ago

Next > < Previous

Related Solutions

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1256 with a standard deviation of 41 years. The distribution of dates was more or less mound-shaped and symmetrical about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1252 with a standard deviation of 45 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1259 with a standard deviation of 29 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1238 with a standard deviation of 33 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1249 with a standard deviation of 32 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort...

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1239 with a standard deviation of 43 years. The distribution of dates was more or less mound-shaped and symmetrical about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data...

Suppose the method of tree-ring dating gave the following dates A.D. for an archaeological excavation site....

Suppose the method of tree-ring dating gave the following dates A.D. for an archaeological excavation site. 1264 1201 1286 1173 1197 1249 1273 1210 1183 Find a 95% confidence interval for the mean of all tree-ring dates from this archaeological site. Suppose that the sample mean round to the whole number. Round your answer to the whole number. 1194 to 1258 1193 to 1260 1198 to 1260 1196 to 1260 1192 to 1255

The method of tree ring dating gave the following years A.D. for an archaeological excavation site....

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1299 1201 1299 1320 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.) x = A.D. s = yr (b) Find a 90% confidence interval...

The method of tree ring dating gave the following years A.D. for an archaeological excavation site....

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1215 1222 1320 1180 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.) x = Incorrect: Your answer is incorrect. A.D. s = Incorrect: Your answer...

Subjects