A study was done kaasizes humans during diferent time periods The results are sh

Question

A study was done kaasizes humans during diferent time periods The results are shown in the table Assume that the two samples are independent simple random samples selected from eormaly dstributed populations, and do not assume that the population standard deviations are equal complete pats (a) a. use 001 significance wel, and test the claim that mean skul breath in what are null and atemative hypotheses? The test statistic, t is (Round to two decimal places as needed The P value is Round to evee decimal places as needed) State thw conclusion for the test A Reject the nul typothesis Thereis not suncient evidence to support he the mean skul beadh as in 4000B c nan AD 150 Chuck select your answer(s) O Type here to search

Explanation / Answer

a)
Null hypothesis: 1 = 2
Alternative hypothesis: 1 < 2

test statistic:

x1 = 130.87 , x2 = 133.50 , s1 = 5.01 , s2 = 5.21 , n1 =n2 = 26

SE = sqrt[(s1^2/n1) + (s2^2/n2)]
SE = sqrt[(5.01^2/26) + (5.21^2/26]
= 1.42

t = [ (x1 - x2) - d ] / SE
= [ (130.87 - 133.50) - 0 ] / 1.42
= -1.85

Now, p value is calculated using t = -1.85 , df = 50

p value = .035114.

Conclusion for test:

Answer is option B)
b)

t value at 0.01 = +/-2.678

CI = (x1 - x2) + /- t *sqrt ( s1^2/n2 + s2^2/n2)
= ( 130.87 - 133.50) + /- 2.678 * sqrt [( 5.01^2/26) + (5.21^2/26)]
= (1.167 , -6.426)

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