Two samples of data, A and B, with the sample means x¯A=1 and x¯B=10, are taken from population with the population mean µ. The null hypothesis is that the population mean µ is equal to the value of x¯A. The alternative hypothesis is that the population mean µ is greater than the value of x¯A. Which of the samples (if any) provides evidence to refute the null hypothesis and support the alternative hypothesis.

Sample A provides evidence to reject the null hypothesis and support the alternate hypothesis.

Step-by-step explanation:

Since the sample mean of A is taken from the population mean, it implies that the population mean would be greater than the sample mean of A which has a value of 1.

The statement that the population mean is greater than the sample mean of A is contained in the alternate hypothesis.

Therefore, the null hypothesis is rejected.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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