Homework answers / question archive / Formulate 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

Formulate 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

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Formulate 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 experis in pharmacology, but are not
experts in doing statistical studies, so you will explain xperts 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 Submit
Your 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.
Grading Rubric
F F C B

Deliverable 05 — Worksheet
Instructions: 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 x,
represents the mean blood pressure of the treatment group and Xz represents the mean for the control
group. Use a significance level of 0.0! 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

ni | 78 n. 70

X4 186.7 X> 201.9

S| | 38.5 s. 39.8

1. Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or
two tailed and explain why.
Answer and Explanation
Inter 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
isnter 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:
4 | mt 67
pS | 179 | 159
| 8 | 208 | 83
po 185159
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
inter 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
inter your step-by-step description and explanations here.