answer questions asked throughout the passage and give answers in detail, also e

Question

answer questions asked throughout the passage and give answers in detail, also explaining how you got the answers please.

CASE STUDY How Old is Stonehenge? Approximately eight miles north of Salisbury, a large prehistoric circular stone monument surrounded by an earthwork, called Stonehenge. The monument consists of an outer ring of sarsen stones, surrounding two inner circles of bluestones. The entire structure is surrounded by a ditch and bank with 56 pits named the Aubrey Holes, after their discoverer, that antlers bearing signs of heavy use, possibly used by the builders as picks or rakes and after its completion. Another researcher, Phillip Corbin had previously claimed that the mean date for the construction of the ditch was 2950 B.c. 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 years. Assume that the ages are normally distributed with no outliers. At an 0.05 significance level, is there any reason to dispute Corbin's claim? iltshire, England, stands buried in the ditc appear to have been filled shortly after their excavation Corinn Dillion is interested in dating the construction of the structure. Excavations at the site uncovered a number of unshed antlers, antler tines, and animal bones. Carbon-14 dating methods were used to estimate the tifacts. The ratio of carbon-14 to carbon-12 remains constant in living organisms. Oncc the organism dies, the amount of carbon-14 in the remains 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 the Four animal bone samples were discovered in the ditch terminals, bearing signs of attempts at artificial preservation and possibility of use for a substantial period of time before being placed at Stonehenge. When dated these bones had a mean age of 3187.5 B.c. and standard deviation of 674 years. Assume that the ages are normally ages of the Stonehenge ar se an 0.05 significance distributed with no outliers. U level to test the hypothesis that the population mean a of the site is different from 2950 B.C In the center of the monument are two concentric circles 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 normal distribution Stonchenge's main ditch was dug in a series of segments. Excavations at the base of the ditch uncovered Course ID: schwinler7 348

Explanation / Answer

Please note that we can answer only 1 question at a time , as per the answeringg guidelines

The first question of the passage is

alpha = 0.05
mean = 3033.1
claim = 2950
sd = 66.9
n = 9

so we conduct a t test as

t = (xbar-mean)/(sd/(sqrt(n))
(2950-3033.1)/(66.9/sqrt(9))
= - 3.72

so we now calculate the df = n-1 = 9-1 = 8
t
we check the t table to fond the t critical value as

+/- 2.30

as the t stat > t critical hence we reject the null hypothesis in favor of alternate hypothesis to conclude that the mean value is different from 2950.

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