Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dosage of brand A. Another 12 were randomly selected and given an equal dosage of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The means, standard deviations, and sizes of the two samples follow. Sample standard deviation 8.7 min Brand Sample size Sample mean A 12 21.8 min B 12 18.9 min 7.5 min Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately normal with equal variances. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption. Also, find or estimate the p – value of the sample test statistic.

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Two competing headache remedies claim to give fast-acting relief. An experiment was
performed to compare the mean lengths of time required for bodily absorption of brand A and
brand B headache remedies. Twelve people were randomly selected and given an oral dosage
of brand A. Another 12 were randomly selected and given an equal dosage of brand B. The
lengths of time in minutes for the drugs to reach a specified level in the blood were recorded.
The means, standard deviations, and sizes of the two samples follow.
Sample standard deviation
8.7 min
Brand
Sample size
Sample mean
A
12
21.8 min
B
12
18.9 min
7.5 min
Past experience with the drug composition of the two remedies permits researchers to assume
that both distributions are approximately normal with equal variances. Let us use a 5% level
of significance to test the claim that there is no difference in the mean time required for bodily
absorption. Also, find or estimate the p – value of the sample test statistic.
Transcribed Image Text:Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dosage of brand A. Another 12 were randomly selected and given an equal dosage of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The means, standard deviations, and sizes of the two samples follow. Sample standard deviation 8.7 min Brand Sample size Sample mean A 12 21.8 min B 12 18.9 min 7.5 min Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately normal with equal variances. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption. Also, find or estimate the p – value of the sample test statistic.
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