# Expert answer:STA3215CBE Rasmussen Critical Regions & P Values P

Solved by verified expert:CompetencyFormulate and evaluate hypothesis tests for population parameters
based on sample statistics using both Critical Regions and P-Values, and
be able to state results in a non-technical way that can be understood
by consumers of the data instead of statisticians.Student Profile
You are a statistician working for a drug company. A few new
scientists have been hired by your company. They are experts in
pharmacology, but are not experts in doing statistical studies, so you
will explain to them how statistical studies are done when testing two
samples for the effectiveness of a new drug. The two samples can be
dependent or independent, and you will explain the difference.
Concept being Studied
Your focus is on hypothesis tests and confidence intervals for two
populations using two samples, some of which are independent and some of
which are dependent. These concepts are an extension of hypothesis
testing and confidence intervals which use statistics from one sample to
make conclusions about population parameters.What to SubmitYour research and analysis should be presented on the Word document provided. All calculations should be provided on a separate Excel workbook that should be submitted to your boss as well.
deliverable_05_questions_918.docx

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Deliverable 05 β Worksheet
Instructions: The following worksheet describes two examples β 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 π₯Μ1
represents the mean blood pressure of the treatment group and π₯Μ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.
TREATMENT
CONTROL
GROUP
GROUP
n1
78
n2 70
Μπ
186.7
Μ
π
ππ 201.9
s1
38.5
s2 39.8
1. Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or
two tailed and explain why.
Enter your step-by-step description and explanations here.
2. Calculate the critical value and the test statistic.
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.
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
1
2
3
4
5
6
7
8
9
10
11
12
Before
199
174
195
171
179
182
193
208
185
155
169
208
After
189
170
177
167
159
151
176
183
159
145
146
177
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.
Enter your step-by-step description and explanations here.
5. Calculate the test statistic and the P-Value.
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.
Enter your step-by-step description and explanations here.

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