Deliverable

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timer Asked: Dec 22nd, 2017
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Question description

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. Please see the file. All calculations should be provided on a separate Excel workbook that should be submitted.

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 𝑥̅1 represents the mean blood pressure of the treatment group and 𝑥̅2 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 80 n2 70 ̅ ̅ 𝒙𝟏 186.7 𝒙𝟐 201.9 s1 38.5 s2 39.8 1. Write the hypotheses in symbolic form, determine if the test is right-tailed, lefttailed, 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 1 2 3 4 5 6 7 8 9 10 11 12 Before 200 174 198 170 179 182 193 209 185 155 169 210 After 191 170 177 167 159 151 176 183 159 145 146 177 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. 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.

Tutor Answer

jesusale932
School: University of Virginia

Here is my answer :)

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 𝑥̅1 represents the mean blood pressure of the treatment group and 𝑥̅2 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
80
n2 70
̅
̅
𝒙𝟏
186.7
𝒙𝟐 201.9
s1
38.5
s2 39.8

1. Write the hypotheses in symbolic form, determine if the test is right-tailed, lefttailed, or two tailed and explain why.
Answer and Explanation
Let 𝜇1 = Treatment population mean
Let 𝜇2 = Control population mean

𝐻0 : 𝜇1 = 𝜇2
𝐻𝑎 : 𝜇1 < 𝜇2
As we want to test the claim that the drug reduces the blood pressure we have a left-tailed
test. We need to evaluate and to compare the critical value and t-test on the left of the
normal distribution curve.

2. Calculate the critical value and the test statistic.
Answer and Explanation
Using a 0.01 significance level an assuming a z statistic test. The confidence interval is,
𝑧𝑐...

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Anonymous
Totally impressed with results!! :-)

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