answer questions 7 and 8 in detail please. All questions throughout the passages
ID: 3361259 • Letter: A
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answer questions 7 and 8 in detail please. All questions throughout the passages paragrpahs are labeled. Much appreciated.
How Old Is Stonehenge eshou Approximately eight miles north of Salisbury a Wiltshire, England, stands a large prehistoric circula stone monument surrounded by an earthwork, called Stonehenge. The monument consists of an outer ring of previously claimed that the mean date for the construction sarsen stones, surrounding two inner circles of bluestones. of the ditch was 2950 B.c. A sample of nine age estimates The entire structure is surrounded by a ditch and bank with from unshed antlers excavated from the ditch produced 56 pits named the Aubrey Holes, after their discoverer, that a mean of 3033.1 B.c., with standard deviation 66.9 years. appear to have been filled shortly after their excavation. ,ossy used by the uilders as picks or rakes and buried in the ditch shortly fter its completion. Another researcher, Phillip Corbin had Assume that the ages are normally distributed with no Corinn Dillion is interested in dating the construction outliers. At an = 0.05 significance level, is there any of the structure. Excavations at the site uncovered ason to dispute Corbin's claim? number of unshed antlers, antler tines, and animal bo Four animal bone samples were discovered in the en terminals, bearing signs of attempts at artificial arbon-14 dating methods were used to estimate t ages of the Stonehenge artifacts. The ratio of carbon-14 preservation and possibility of use for a substantial period to carbon-12 remains constant in living organisms. Onceof time before being placed at Stonehenge. When dated the organism dies, the amount of carbon-14 in the remains these bones had a mean age of 31875 B.C. and standard eviation of 674 years. Assume that the ages are normally distributed with no outliers. Use an = 0.05 significance level to test the hypothesis that the population mean age begins to decline, because it is radioactive, with a half-life of 5730 years (the "Cambridge half-life The decay of carbon-14 into ordinary nitrogen makes possible a reliable estimate about the time of death of the organism. The counted carbon-14 decay events can be modeled by t normal distribution the site is different from 2950 B.c. n the center of the monument are two concentric rcles of igneous rock pillars. Excavation here revealed an antler, an antler tine, and an animal bone. Each artifact was submitted for dating and this sample of three artifacts Stonehenge's main ditch was dug in a series of segments Excavations at the base of the ditch uncovered was submited for dating and this sample of three artifacts Course ID: schw rights reserved. Legal Notice 1 Privacy Polcy 1 Permiss ions I Support I FeedbackExplanation / Answer
7) Using hypothesis testing is more useful than confidence intervals in assessing the age and likely construction order of the Stonehenge structures because population mean t-test is useful when sample size is less than 30. Moreover simple random sampling is used and the sample values are independent so hypothesis testing will result in significant values of the predictors
8) Limitation of assumption that can be used for hypothesis testing is about population mean for t test is mainly the size of the sample considered for the analysis. In case population mean is known one can proceed for one sample z test. But the sampling should be random and independent. One can report to Corrin Dillion the confidence interval of stonehenge structures for the population mean age of the site is different from 2950 BC as it is (3084, 3295 bc).
Even the population mean age of Z n Y holes are significantly differing from mean age of the hole 2950 bc as the confidence interval is (1424 , 1919 bc)
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