Humerus bones from the same species of animal tend to have approximately the sam

Question

Humerus bones from the same species of animal tend to have approximately the same length to width ratios. It is known that species A has a mean ratio of 8.5. Suppose 41 fossils of humerus bones were unearthed at an archeological site in East Africa where Species A is believed to have inhabited. The average and the standard deviation of length to width ratios of the sample bones were 9.26 and 1.20 respectively. Using the P-Value methodology, we wish to determine whether or not the bones are, indeed, from species A. Use a level of significance of 5%.

Explanation / Answer

The idea is to find wether 8.5 ( the mean ratio of sp.A lies within the limits of 5% significance or 95% Ci)

Use the params to normalize the variable,

So, Zstat = Xbar - Mu / (Sigma/sqrt(N))

= (9.26-8.5)/( 1.2/sqrt(41))

= 4.055 which has a p value of almost 0

Since 0 is less than 5% or .05 we conclude that bones are NOT from species A, as Z value is to high

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