Module 4 Homework Assignment 1. Determine whether the samples are independent or

Question

Module 4 Homework Assignment

1. Determine whether the samples are independent or dependent.

The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug. Explain.

Solution:

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2. Determine whether the samples are independent or dependent.

The effectiveness of a headache medicine is tested by measuring the intensity of a headache in patients before and after drug treatment. The data consist of before and after intensities for each patient. Explain.

Solution:

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3. In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Use a significance level of 0.01. Show all steps of the hypothesis test and all calculations.

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4. A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to construct a 99% confidence interval for µ1 - µ2 where µ 1 and µ2 represent the mean for the treatment group and the control group respectively. Show all steps of the hypothesis test and all calculations. Use the following t-distribution table - http://www.itl.nist.gov/div898/handbook/eda/section3/eda3672.htm

Treatment Group                             Control Group

n1 = 85                                                  n2 = 75

189.1                                          = 203.7

s1 = 38.7                                               s2 = 39.2

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Solution:

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Explanation / Answer

1.

The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug."

The first sample contains the amount of time before the headache is cured for patients who uses the medicine . The second sample contains  the amount of time before the headache is cured for patients who uses a placebo drug . Here the two samples are independent of each other .

2.Independent samples require there to be only one participant in the trial

since the two measures are taken from the same participant, they are independent of any other participants/subjects.

Matched pairs require there to be at least two experimental conditions to compare effect.

so for this problem, matched pairs

Hope this will help you:)

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