Paragraph Approximately cight miles north of Salisbury Wiltshire , England , stands a large prehistoric circular stone monument surrounded by an carthwork , called Stonehenge . The monument consists of an outer ring of sarsen stones , surrounding circles of bluestones . The entire structure is surrounded by a ditch and bank with 56 pits named the Aubrey Holes their discoveror , that appear to have been filled shortly after their excavation , Corinn Dillion is interested in dating the construction of the structure . at the site uncovered a number unshed antlers animal bones Carbwn - 14 dating methods were used to estimate the ages of the Stonehenge artifacts The ratio of carbon - 14 to carbon - 12 remains constant in living organisms Once the organism dies , the amount of carbon -14 in the remains begins to decline because it is radioactive , with a half - life of 5730 (the " Cambridge half - " ) The decay of carbon - 14 into ordinary nitrogen makes possible a reliable estimate about the time of death of the organism . The counted - 14 decay events can be modeled the normal distribution . Stonehenge's main was dug in a series of segments . Excavations at the base of the ditch uncovered antlers bearing signs of heavy use , possibly used by the builders as picks or rukes and buried in the ditch shortly after its completion . Another researcher , Phillip Corbin had previously claimed that the mean date for the construction of the ditch was 2950 A sample of nine age estimates from unshed antlers excavated from the ditch produced a mean of 3033.1 B.C., with standard deviation 66.9 ycars Assume thai ages are normally distributed with no outliers . Atana = 0.05 significance level , is there any reason lo dispute Corbin's claim ? Four animal bone samples were discovered in the ditch terminals . bearing signs of attempts at arulicial preservation and possibility of use for a substantial period of ume before being placed at Stonehenge . Wlien dated . bones had a mean age of 3187.5R, C and standard deviation of 674 years . Assume that the ages normally distributed with no outliers Use an a = 0.05 significance level test the hypothesis that the population mean age In center of the monument are two concentric circles of igneous rock pillars Excavation revealed an antler , an antler tinc , and an animal bonc Each artifact was submitted for dating and this sample of three artifacts had a age 2193.3 with standard deviation of 104.1 years that the ages are normally distributed with no outliers . Use an alpha = 0.05 significance level to test the hypothesis that the population mean age of the formations is different from Corbin's declared mean age of the ditch , that is, 2950 Finally additional antler samples were uncovered at the Y and holes , part of a formation of concentric circles . The sample mean age of these is 1671.7 with a standard deviation of 99.7 years . Assume that the ages are normally distributed with no outliers . Use an alpha = 0.05 significance level to test whether the population mean of the Y and Z holes is different from Corbin's stated mcan age of ditch , that is 2950 . From your analysis , does it appear that the mean ages of the artifacts from the ditch , the ditch terminals , the Bluestones and the Y and Z holes dated by Dillion are consistent with Corbin's claimed mean age of 2950 for construction of the dirch ? Can you use the results from your hypothesis tests to infer the likely construction order of the various Stonehenge structures ? Explain . Using Dillion's data construct 1 95 % confidence interval for the population mean ages of the various sites . Do these confidence intervals support Corbin's claim ? Cap you use these contidence intervals likely construction order of the various Stonehenge structures ? Explain Which statistical technique , hypothesis lesting or confidence intervak is more useful in assessing the age and likely construclion order of the Stonehenge structures ? Explain. Discuss the limitations and assumptions of your analysis Is there any additional information that you would like to have before publishing your findings ? Would another statistical procedure be more useful in analyzing these data ? so which one ? Explain .

This project can be found on page 538 in the textbook (e-book in mystatlab). Complete the information below for each of the artifacts found at Stonehenge. You will find the mean, the standard deviation and the sample size (n) in the reading in the book. Then complete the confidence interval for each artifact, rounding to the nearest whole number. The last question asks you to determine the order in which the artifacts were constructed, be careful on the order, the time frame is BC so an artifact constructed in 50 BC is newer than an artifact constructed in 100 BC.

Unshed antler

Mean=Standard deviation =n =

Confidence Intervalx t/2sn

Animal bones in ditch terminal

Mean=Standard deviation =n =

Confidence Intervalx t/2sn

Antler, Antler Tine and Animal bone in the concentric circle

Mean=Standard deviation =n =

Confidence Intervalx t/2sn

Antler in the Y and Z holes

Mean=Standard deviation =n =

Confidence Intervalx t/2sn

Based on your findings (from the confidence intervals) what is the order in which they stone monuments were constructed? (from oldest to newest)