The time it takes for half the dosage of Ibuprofen to absorb into an adult syste

Question

The time it takes for half the dosage of Ibuprofen to absorb into an adult system has a mean of 2 hours. In order to verify the claim that it takes longer than a mean of 2 hours to rid the system of half the dosage, a sample is taken which finds a sample mean time of 2.8 hours. The test statistic for this hypothesis is t14 = 2.624.

1. State the appropriate H0 and HA for this test.

2. Find the p-value of the test.

3. Is there evidence to support the claim that it takes longer than a mean of 2 hours to rid the body of half the dosage of Ibuprofen?

Explanation / Answer

1.

As it says "verify the claim that it takes longer than a mean of 2 hours to rid the system of half the dosage", then

Ho: u <= 2
Ha: u > 2 [ANSWER]

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2.

As df = 14, t = 2.624, right tailed, by table/technology,

Pvalue = 0.010009636 [ANSWER]

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3.

As this is a low P value, yes, there is evidence to support the claim that it takes longer than a mean of 2 hours to rid the body of half the dosage of Ibuprofen. [CONCLUSION]

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