Suppose we’re conducting a t-test for a population mean with the following hypotheses. latex: h_0 h 0 : latex: \mu=50 μ = 50 latex: h_a h a : latex: \mu\ne50 μ ≠ 50 a sample of size 30 has a t-statistic of latex: -2.43 − 2.43 . find the corresponding p-value. do not round.

0.02055867

Step-by-step explanation:

Given : , since the alternative hypothesis is two-tailed , so the test is a two tailed test.

Sample size : n= 30

Degree of freedom for t-distribution =

Test statistic= t= -2.43

By using the normal t-distribution table ( or calculator ) , we have

The corresponding P-value for two tailed test = 0.02055867

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+

25.45584

30005

yes ok