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Use technology to help test the claim about the difference between two populatio

ID: 3368524 • Letter: U

Question

Use technology to help test the claim about the difference between two population means ?1 and ?2 at the given level of significance ? using the given sample statistics. Assume that the population is normally? distributed, and the samples are independent and random. Assume ?_2^1 = ?_2^2.

Claim: ?1 less than or equal to ?2

Sample statistics:

X_1 = 189, s_1 = 36, n_1 = 14

X_2 = 199, s_2 = 41, n_2 = 7

I have managed to figure out t = -0.547. I need help with the P. I have the answer, but need someone to explain in Excel and TI-83 how to calculate P. Per MathXL, P = 0.7136.

Please help!!

Explanation / Answer

This is left tailed test

Here degree of freedom = 14+7-2 = 19

So, Use excel function to calculate P value

T.DIST(-0.547,19,TRUE)

= 0.2954