The method of tree ring dating gave the following years A.D. for an archaeologic

Question

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.

(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.)

(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)

Explanation / Answer

Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=1291.778 ~ 1292
Standard deviation( sd )=23.874 ~ 24
Sample Size(n)=9

Confidence Interval = [ 1292 ± t a/2 ( 24/ Sqrt ( 9) ) ]
= [ 1292 - 1.86 * (8) , 1292 + 1.86 * (8) ]
= [ 1277.12,1306.88 ] ~ [ 1278,1307]

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