Name:______________________________________
Module 4 Homework Assignment
 Determine whether the samples are independent or dependent.
The effectiveness of a new headache medicine is tested by measuring the amount of time beforethe headache is cured for patients who use the medicine and another group of patients who use aplacebo drug. Explain.
Solution:

Instructor Comments: 
 Determine whether the samples are independent or dependent.
The effectiveness of a headache medicine is tested by measuring the intensity of a headache inpatients before and after drug treatment. The data consist of before and after intensities for eachpatient.Explain.
Solution:

Instructor Comments: 
 In a random sample of 500 people aged 2024, 22% were smokers. In a random sample of 450people aged 2529, 14% were smokers. Test the claim that the proportion of smokers in the twoage groups is the same. Use a significance level of 0.01.Show all steps of the hypothesis test and all calculations.
Solution:

Instructor Comments:

 A researcher wishes to determine whether people with high blood pressure can reduce theirblood pressure by following a particular diet. Use the sample data below to perform all steps for hypothesis testing or construct a 99%confidence interval for µ_{1} – µ_{2} where µ_{1} and µ_{2} represent the mean for the treatment group andthe control group respectively. Use the following tdistribution table –
Treatment Group Control Group
n_{1} = 85 n_{2} = 75
189.1 = 203.7
s_{1} = 38.7 s_{2 }= 39.2
Solution:

Instructor Comments: 
For questions 5 – 9 below, use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.
Five students took a math test before and after tutoring. Their scores were as follows.
Student  A  B  C  D  E 
Before  71  66  67  77  75 
After  75  75  65  80  87 
Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores.
 State the null and alternative hypotheses.
Solution:

Instructor Comments: 
 Find d, , and s_{d,}
Solution:

Instructor Comments: 
 Find the value of the test statistic, t.
Solution:

Instructor Comments: 
 Find the critical value(s) and state the decision about the null hypothesis.
Solution:

Instructor Comments: 
 State the conclusion in nontechnical terms.
Solution:

Instructor Comments: 
Last Updated on