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Hypothesis Test: test whether the mean cotamine level in the population of exposed children is more...

Hypothesis Test:

test whether the mean cotamine level in the population of exposed children is more than 25 units higher than of unexposed children. Use W to form a confidence interval for the difference A between the means of the two populations.

Unexposed: 8, 11, 12, 14, 20, 43, 111 (u2)

Exposed: 35, 56, 83, 92, 128, 150, 176, 208 (u1)

how can I make the hypothesis test ?? H0: u1=u2, HA: u1=/=u2???? or it should be u1-u2>0????

math   Statistics-And-Probability   
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Answer #1

Solution:

We are given:

is the population mean of the exposed group

is the population mean of the unexposed group

The null hypothesis is the hypothesis of no difference and the alternative hypothesis is the research hypothesis. In the given problem, the research hypothesis is that the mean cotamine level in the population of exposed children is more than 25 units higher than the mean level of unexposed children. So the claim is:

The null hypothesis will be the opposite of the claim, therefore, we have:

The null hypothesis:

And the alternative hypothesis is:

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