Rasmussen College Hypothesis Tests for Two Samples Discussion

Deliverable 05 – WorksheetInstructions: The following worksheet describes two examples – one is an example
for independent samples and the other one for dependent samples. Your job is to
demonstrate the solution to each scenario by showing how to work through each
example in detail. You are expected to explain all of the steps in your own words.
Independent samples:
One of our researchers wishes to determine whether people with high blood pressure
can reduce their systolic blood pressure by taking a new drug we have developed. The
sample data is shown below, where x́ 1 represents the mean blood pressure of the
treatment group and x́ 2 represents the mean for the control group. Use a significance
level of 0.01 and the critical value method to test the claim that the drug reduces the
blood pressure. We do not know the values of the population standard deviations.
TREATME
NT
GROUP
n1
75
x́ 1
s1
186.7
37.5
CONTROL
GROUP
n
2
x́ 2
s2
70
201.9
39.8
1. Write the hypotheses in symbolic form, determine if the test is righttailed, left-tailed, or two tailed and explain why.
Answer and Explanation
Enter your step-by-step description and explanations here.
2. Calculate the critical value and the test statistic.
Answer and Explanation
Enter your step-by-step description and explanations here.
3. Make a decision about the null hypothesis and explain your reasoning, then
make a conclusion about the claim in nontechnical terms.
Answer and Explanation
Enter your step-by-step description and explanations here.
Dependent samples
This same new drug was tested on another group, but this time the test was done
before the drug was administered, and then tested after the drug was given to the
same group. The results are shown in the table below:
Subject
Before
After
1
199
190
2
174
172
3
195
187
4
170
167
5
179
169
6
182
181
7
183
176
8
208
193
9
185
179
10
155
145
11
169
166
12
208
197
Use the data above with a significance level of 0.05 to test the claim that for the
populations of blood pressures before and after the drug, the differences have a mean
greater than 0 mm Hg (so the claim is that the drug helps lower the blood pressure).
Use the P-Value method to determine whether or not to reject the null hypothesis and
state your conclusion.
4. Write the hypotheses in symbolic form, determine if the test is right-tailed,
left-tailed, or two tailed and explain why.
Answer and Explanation
Enter your step-by-step description and explanations here.
5. Calculate the test statistic and the P-Value.
Answer and Explanation
Enter your step-by-step description and explanations here.
6. Make a decision about the null hypothesis and explain your reasoning, then
make a conclusion about the claim in nontechnical terms.
Answer and Explanation
Enter your step-by-step description and explanations here.