Deliverable 5- Statistics- Hypothesis tests for two SampleCompetencyFormulate 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 ProfileYou 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 StudiedYour 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.Grading RubricF F C B A0 1 2 3 4Not Submitted No Pass Competence Proficiency MasteryNot Submitted Did not correctly solve a majority of the problems or at least one problem left blank. Correctly solved a majority of the problems. Correctly solved almost all the problems. All problems are solved correctly.Not Submitted Very few steps are provided to explain how to solve the problem OR the steps provided have several errors. Fairly complete and detailed steps are provided to explain how to solve the problem OR the steps provided have some errors. Mostly complete and detailed steps are provided to explain how to solve the problem. Complete and detailed steps are provided to explain how to solve the problem.Not Submitted Explanations generally lack a basic understanding of the statistical concepts or lack of proper terminology. Explanations demonstrate a basic understanding of most of the statistical concepts and terminology, but some explanations may be incomplete or incorrect. Explanations demonstrate a proficient understanding of most of the statistical concepts and terminology, but with small errors. Explanations demonstrate a mastery of understanding of the statistical concepts and terminology.Not Submitted The majority of variables, equations, and expressions are not properly formatted. The majority of variables, equations, and expressions are properly formatted. Almost all variables, equations, and expressions are properly formatted. All variables, equations, and expressions are properly formatted.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 x ̅_1 represents the mean blood pressure of the treatment group and x ̅_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 Group Control Groupn1 78 n2 70x ̅_1 186.7 x ̅_2 201.9s1 38.5 s2 39.8 Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or two tailed and explain why.Answer and Explanation Calculate the critical value and the test statistic.Answer and Explanation Make a decision about the null hypothesis and explain your reasoning, then make a conclusion about the claim in nontechnical terms.Answer and Explanation Dependent samplesThis 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 After1 199 1892 174 1703 195 1774 171 1675 179 1596 182 1517 193 1768 208 1839 185 15910 155 14511 169 14612 208 177Use 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. Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or two tailed and explain why.Answer and Explanation Calculate the test statistic and the P-Value.Answer and Explanation Make a decision about the null hypothesis and explain your reasoning, then make a conclusion about the claim in nontechnical terms.Answer and Explanation
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